PNCW Paper 08
投影原生感知—行動閉環：從跨結構觀察到視覺世界與受權限致動
Projection-Native Perception–Action Loop:
From Cross-Structural Observation to Visual Worlds and Authority-Bounded Actuation
版本：v0.1 日期：2026-08-28 系列：Projection-Native Computational World Series / 投影原生計算世界系列 定位：Series Paper 08 / Perception–Memory–Cognition–Projection–Actuation Closure 依賴：PNCW Paper 00–07、CSPMF Series、ACR Phase 11/12、APR、PHOSPHOR Spacetime、HDUS Virtual Actuation Plane 作者： Neo.K機構： EveMissLab／一言諾科技有限公司
摘要
Projection-Native Computational World（PNCW）Paper 00–07 已逐步建立：
非序列 observation topology；
Atomic Logical Reveal；
Virtual Context Projection；
Stable High-Dimensional Projection Carrier；
Recursive Visual Computational World；
GCM Selective Materialization；
Projection-Native Software Spacetime。
至此，PNCW 已經能描述：
S → Ω q , O S T → C q a c t i v e → E k → P k → V q , k S T → U q , k S T . \boxed{
\mathfrak S
\rightarrow
\Omega_{q,O}^{ST}
\rightarrow
C_q^{active}
\rightarrow
\mathcal E_k
\rightarrow
P_k
\rightarrow
V_{q,k}^{ST}
\rightarrow
U_{q,k}^{ST}.
} S → Ω q , O S T → C q a c t i v e → E k → P k → V q , k S T → U q , k S T . 但這仍主要是一條 read-side / projection-side 路徑：世界如何被切出、投影、物化與呈現。
本文補上另一半：perception-side 與 actuation-side 。
其核心來源為 Cross-Structural Perceptual Memory Fabric（CSPMF）已建立的六層非坍縮：
M a c h i n e O b s e r v a t i o n ≠ P e r c e p t u a l M e m o r y ≠ A I A t t e n t i o n ≠ A I C o g n i t i o n ≠ A I A c t i o n P r o p o s a l ≠ A u t h o r i z e d A c t u a t i o n . \boxed{
MachineObservation
\neq
PerceptualMemory
\neq
AIAttention
\neq
AICognition
\neq
AIActionProposal
\neq
AuthorizedActuation.
} M a c hin e O b ser v a t i o n = P er ce pt u a l M e m or y = A I A tt e n t i o n = A I C o g ni t i o n = A I A c t i o n P r o p os a l = A u t h or i z e d A c t u a t i o n . 以及：
O b s e r v e d ≠ B e l i e v e d , \boxed{
Observed
\neq
Believed,
} O b ser v e d = B e l i e v e d , A v a i l a b l e ≠ A t t e n d e d , \boxed{
Available
\neq
Attended,
} A v ai l ab l e = A tt e n d e d , A t t e n d e d ≠ F u l l y R e a s o n e d , \boxed{
Attended
\neq
FullyReasoned,
} A tt e n d e d = F u l l y R e a so n e d , B e l i e v e d ≠ A u t h o r i z e d , \boxed{
Believed
\neq
Authorized,
} B e l i e v e d = A u t h or i z e d , P r o p o s e d ≠ E x e c u t e d , \boxed{
Proposed
\neq
Executed,
} P r o p ose d = E x ec u t e d , E x e c u t e d ≠ V e r i f i e d O u t c o m e . \boxed{
Executed
\neq
VerifiedOutcome.
} E x ec u t e d = V er i f i e d O u t co m e . 本文因此將 PNCW 從單向 projection architecture 擴展為完整閉環：
S t → M a c h i n e O b s e r v a t i o n → C r o s s S t r u c t u r a l E v i d e n c e → P e r c e p t u a l M e m o r y → S e l e c t i v e A t t e n t i o n → A c t i v e C o g n i t i v e D o m a i n → C o g n i t i o n → P r o j e c t i o n N a t i v e W o r l d → A c t i o n P r o p o s a l → E v i d e n c e R e a d i n e s s → A u t h o r i t y G a t e → P r o v i d e r A c t u a t i o n → R e c e i p t → N e w M a c h i n e O b s e r v a t i o n → I n d e p e n d e n t V e r i f i c a t i o n → S t + 1 . \boxed{
\begin{aligned}
\mathfrak S_t
&\rightarrow
\mathsf{MachineObservation}
\\
&\rightarrow
\mathsf{CrossStructuralEvidence}
\\
&\rightarrow
\mathsf{PerceptualMemory}
\\
&\rightarrow
\mathsf{SelectiveAttention}
\\
&\rightarrow
\mathsf{ActiveCognitiveDomain}
\\
&\rightarrow
\mathsf{Cognition}
\\
&\rightarrow
\mathsf{ProjectionNativeWorld}
\\
&\rightarrow
\mathsf{ActionProposal}
\\
&\rightarrow
\mathsf{EvidenceReadiness}
\\
&\rightarrow
\mathsf{AuthorityGate}
\\
&\rightarrow
\mathsf{ProviderActuation}
\\
&\rightarrow
\mathsf{Receipt}
\\
&\rightarrow
\mathsf{NewMachineObservation}
\\
&\rightarrow
\mathsf{IndependentVerification}
\\
&\rightarrow
\mathfrak S_{t+1}.
\end{aligned}
} S t → MachineObservation → CrossStructuralEvidence → PerceptualMemory → SelectiveAttention → ActiveCognitiveDomain → Cognition → ProjectionNativeWorld → ActionProposal → EvidenceReadiness → AuthorityGate → ProviderActuation → Receipt → NewMachineObservation → IndependentVerification → S t + 1 . 本文特別保留 CSPMF M8、APR、ACR、PHOSPHOR 與 HDUS Virtual Actuation Plane 已經建立的工程邊界：
Machine Observation 不等於 AI Attention；
Cross-structural representation 不等於 World；
Child Agent Result 不等於 Global Belief；
CognitivePlan 不等於 ModelExecution；
CognitivePlan 不等於 ActionAuthority；
APR ALLOW 不等於 PHOSPHOR AUTHORIZED；
CommandIntent 是 untrusted request；Receipt 不等於 Independent World Verification；ExpectedOutcome 不等於 ObservedOutcome；Requested 不等於 Realized 不等於 Observed；recovery recommendation 不等於 ambient authority。
本文進一步提出一個 PNCW 特有的新結構：雙向投影閉環 。
感知方向：
W o r l d → M a n y S t r u c t u r a l P r o j e c t i o n s → E v i d e n c e → C o g n i t i o n . \boxed{
World
\rightarrow
Many Structural Projections
\rightarrow
Evidence
\rightarrow
Cognition.
} W or l d → M an y S t r u c t u r a l P r o j ec t i o n s → E v i d e n ce → C o g ni t i o n . 表達方向：
C o g n i t i o n → S t a b l e M a c h i n e P r o j e c t i o n → V i s u a l C o m p u t a t i o n a l W o r l d → O b s e r v e r . \boxed{
Cognition
\rightarrow
Stable Machine Projection
\rightarrow
Visual Computational World
\rightarrow
Observer.
} C o g ni t i o n → S t ab l e M a c hin e P r o j ec t i o n → V i s u a l C o m p u t a t i o na l W or l d → O b ser v er . 行動方向：
C o g n i t i o n / O b s e r v e r → P r o p o s a l → R e a d i n e s s → A u t h o r i t y → A c t u a t i o n → W o r l d . \boxed{
Cognition / Observer
\rightarrow
Proposal
\rightarrow
Readiness
\rightarrow
Authority
\rightarrow
Actuation
\rightarrow
World.
} C o g ni t i o n / O b ser v er → P r o p os a l → R e a d in ess → A u t h or i t y → A c t u a t i o n → W or l d . 因此，PNCW 最終不只是「讓 AI 不必一個 token 一個 token輸出」，而是建立：
Projection-Native Perception + Projection-Native Cognition + Projection-Native Presentation + Authority-Bounded Actuation . \boxed{
\text{Projection-Native Perception}
+
\text{Projection-Native Cognition}
+
\text{Projection-Native Presentation}
+
\text{Authority-Bounded Actuation}.
} Projection-Native Perception + Projection-Native Cognition + Projection-Native Presentation + Authority-Bounded Actuation . 本文將此整體稱為：
P N P A L = Projection-Native Perception–Action Loop . \boxed{
\mathsf{PNPAL}
=
\text{Projection-Native Perception–Action Loop}.
} PNPAL = Projection-Native Perception–Action Loop . 關鍵詞： CSPMF、Cross-Structural Perception、APR、ACR、ActiveCognitiveDomain、PHOSPHOR、HDUS Virtual Actuation、Independent Verification、Projection-Native Perception–Action Loop、PNCW
0. 研究目的與邊界
Paper 07 已回答：
被 PNCW 投影的 world 是什麼？
答案是：
multi-temporal, causal, branched software spacetime . \boxed{
\text{multi-temporal, causal, branched software spacetime}.
} multi-temporal, causal, branched software spacetime . Paper 08 回答：
這個 world 如何被持續觀察、記憶、注意、認知、投影、操作，並在操作後重新被驗證？
本文不重新發明 CSPMF、APR、ACR 或 PHOSPHOR，而是把它們接入 PNCW。
1. PNCW 原本是 Read-Side 架構
PNCW Paper 00–07 的核心主要是：
S → P r o j e c t i o n → O b s e r v e r . \boxed{
\mathfrak S
\rightarrow
Projection
\rightarrow
Observer.
} S → P r o j ec t i o n → O b ser v er . 這解決：
observer 看什麼；
以什麼 representation 看；
用什麼 resolution；
何時 reveal；
是否需要 sequence。
2. 但真正的 Agent Runtime 必須閉環
若 AI 只是 observer：
S → U \mathfrak S
\rightarrow
U S → U 不足以構成 autonomous / agentic runtime。
還需要：
U → P r o p o s a l → A c t u a t i o n → S ′ . U
\rightarrow
Proposal
\rightarrow
Actuation
\rightarrow
\mathfrak S'. U → P r o p os a l → A c t u a t i o n → S ′ . 3. Projection-Native Perception–Action Loop
本文定義：
P N P A L = ( O , E , G , M , R P , R C , C , P , V , A , X ) . \boxed{
\mathsf{PNPAL}
=
(
O,
E,
G,
M,
R_P,
R_C,
C,
P,
V,
A,
X
).
} PNPAL = ( O , E , G , M , R P , R C , C , P , V , A , X ) . 其中：
(O)：Machine Observers；
(E)：Evidence Bus；
(G)：Cross-Structural Perceptual Graph；
(M)：Persistent Perceptual Memory；
R P R_P R P R C R_C R C (C)：Active Cognitive Domain；
(P)：Projection-Native Carrier / World；
(V)：Visual Computational Surface；
(A)：Authority-Bounded Action Layer；
(X)：Independent Verification。
4. 六層核心非坍縮
本文採用：
M a c h i n e O b s e r v a t i o n ≠ P e r c e p t u a l M e m o r y ≠ A I A t t e n t i o n ≠ A I C o g n i t i o n ≠ A I A c t i o n P r o p o s a l ≠ A u t h o r i z e d A c t u a t i o n . \boxed{
MachineObservation
\neq
PerceptualMemory
\neq
AIAttention
\neq
AICognition
\neq
AIActionProposal
\neq
AuthorizedActuation.
} M a c hin e O b ser v a t i o n = P er ce pt u a l M e m or y = A I A tt e n t i o n = A I C o g ni t i o n = A I A c t i o n P r o p os a l = A u t h or i z e d A c t u a t i o n . 5. Observed 不等於 Believed
Machine observer 取得：
o t o_t o t 不表示：
B e l i e f ( o t ) = t r u e . Belief(o_t)=\mathrm{true}. B e l i e f ( o t ) = true . 因此：
O b s e r v e d ≠ B e l i e v e d . \boxed{
Observed
\neq
Believed.
} O b ser v e d = B e l i e v e d . 6. Available 不等於 Attended
資料存在於 memory / evidence store：
e ∈ M e\in M e ∈ M 不表示：
e ∈ A t a t t e n t i o n . e\in A_t^{attention}. e ∈ A t a tt e n t i o n . 所以：
A v a i l a b l e ≠ A t t e n d e d . \boxed{
Available
\neq
Attended.
} A v ai l ab l e = A tt e n d e d . 7. Attended 不等於 Fully Reasoned
某 evidence 被注意：
e ∈ A t e\in A_t e ∈ A t 也不表示：
Full Reasoning Has Occurred . \boxed{
\text{Full Reasoning Has Occurred}.
} Full Reasoning Has Occurred . 8. Believed 不等於 Authorized
即使 AI epistemically 相信：
B e l i e f ( a c t i o n _ p r e c o n d i t i o n ) = t r u e , Belief(action\_precondition)=\mathrm{true}, B e l i e f ( a c t i o n _ p r eco n d i t i o n ) = true , 仍然：
B e l i e v e d ≠ A u t h o r i z e d . \boxed{
Believed
\neq
Authorized.
} B e l i e v e d = A u t h or i z e d . 9. Proposed 不等於 Executed
A c t i o n P r o p o s a l ≠ E x e c u t i o n . \boxed{
ActionProposal
\neq
Execution.
} A c t i o n P r o p os a l = E x ec u t i o n . 10. Executed 不等於 Verified Outcome
E x e c u t e d ≠ V e r i f i e d O u t c o m e . \boxed{
Executed
\neq
VerifiedOutcome.
} E x ec u t e d = V er i f i e d O u t co m e . 這是閉環最重要的最後一道邊界。
11. 世界允許多種 Machine Observation
同一 world：
S t \mathfrak S_t S t 可以產生：
{ O t p i x e l , O t a 11 y , O t D O M , O t r u n t i m e , O t e v e n t , O t a u d i o , O t n e t w o r k , … } . \boxed{
\{
O_t^{pixel},
O_t^{a11y},
O_t^{DOM},
O_t^{runtime},
O_t^{event},
O_t^{audio},
O_t^{network},
\ldots
\}.
} { O t p i x e l , O t a 11 y , O t D O M , O t r u n t im e , O t e v e n t , O t a u d i o , O t n e tw or k , … } . 12. One World → Many Structural Projections
因此：
S t → { Π 1 ( S t ) , … , Π n ( S t ) } . \boxed{
\mathfrak S_t
\rightarrow
\{
\Pi_1(\mathfrak S_t),
\ldots,
\Pi_n(\mathfrak S_t)
\}.
} S t → { Π 1 ( S t ) , … , Π n ( S t )} . 沒有任何單一 projection 自動等於 world。
13. Representation / World Non-Collapse
Representation ≠ World . \boxed{
\text{Representation}
\neq
\text{World}.
} Representation = World . 14. Modality / Structure Non-Collapse
Pixel 是 modality / representation family。
Accessibility Tree、DOM、event graph、runtime state 則是不同 structure。
因此：
Modality ≠ Structure . \boxed{
\text{Modality}
\neq
\text{Structure}.
} Modality = Structure . 15. Pixel Observation
O t p i x e l O_t^{pixel} O t p i x e l 可以捕捉：
appearance；
occlusion；
visual layout；
rendered state。
16. Accessibility Observation
O t a 11 y O_t^{a11y} O t a 11 y 可以捕捉：
roles；
labels；
interactability；
hierarchy。
17. DOM / Structured UI Observation
O t D O M O_t^{DOM} O t D O M 可以捕捉：
nodes；
attributes；
semantic structure；
hidden state unavailable in pixels。
18. Runtime Observation
O t r u n t i m e O_t^{runtime} O t r u n t im e 可以捕捉：
process state；
counters；
resource usage；
errors；
execution events。
19. Event Observation
O t e v e n t O_t^{event} O t e v e n t 可以捕捉 world transitions，而不是完整 snapshots。
20. Cross-Structural Evidence
定義 evidence：
e i = ( i d , s o u r c e , s t r u c t u r e , t i m e , t a r g e t , p a y l o a d R e f , c o n f i d e n c e , f r e s h n e s s , p r o v e n a n c e ) . \boxed{
e_i
=
(
id,
source,
structure,
time,
target,
payloadRef,
confidence,
freshness,
provenance
).
} e i = ( i d , so u r ce , s t r u c t u r e , t im e , t a r g e t , p a y l o a d R e f , co n f i d e n ce , f r es hn ess , p r o v e nan ce ) . 21. Evidence Bus
Machine Observers 不應直接把所有 raw observation 塞給模型。
而先進：
B E = Evidence Bus . \boxed{
\mathcal B_E
=
\text{Evidence Bus}.
} B E = Evidence Bus . 22. Observation / Blob Non-Collapse
同一 content blob 可能被多次 observation 引用。
因此：
O n e B l o b ≠ O n e O b s e r v a t i o n . \boxed{
OneBlob
\neq
OneObservation.
} O n e B l o b = O n e O b ser v a t i o n . 23. Observation Record / Content Blob Separation
可定義：
O b s e r v a t i o n R e c o r d → C o n t e n t B l o b R e f . ObservationRecord
\rightarrow
ContentBlobRef. O b ser v a t i o n R ecor d → C o n t e n tB l o b R e f . 這允許：
dedup；
provenance；
temporal identity；
repeated observation。
24. Cross-Structural Multimodal Perceptual Graph
定義：
G P = ( V P , E P , T P , Σ P ) . \boxed{
G_P
=
(
V_P,
E_P,
T_P,
\Sigma_P
).
} G P = ( V P , E P , T P , Σ P ) . 其中 nodes 可以是：
observed entities；
regions；
UI objects；
runtime objects；
events；
resources。
edges 可以是：
same-object；
supports；
contradicts；
derived-from；
contains；
temporal；
causal；
refers-to。
25. Graph 不等於 Memory Store
Perceptual Graph ≠ Persistent Memory Store . \boxed{
\text{Perceptual Graph}
\neq
\text{Persistent Memory Store}.
} Perceptual Graph = Persistent Memory Store . Graph 是 live / derived structure；memory 負責 durable records / blobs / lineage。
26. Persistent Perceptual Memory
定義：
M P = ( O b s e r v a t i o n R e c o r d s , C o n t e n t B l o b s , I n d e x e s , C o m p r e s s i o n , A r c h i v e , R e h y d r a t i o n , L i n e a g e ) . \boxed{
M_P
=
(
ObservationRecords,
ContentBlobs,
Indexes,
Compression,
Archive,
Rehydration,
Lineage
).
} M P = ( O b ser v a t i o n R ecor d s , C o n t e n tB l o b s , I n d e x es , C o m p r ess i o n , A r c hi v e , R e h y d r a t i o n , L in e a g e ) . 27. Perceptual Memory / Historical Truth Non-Collapse
Memory 保存 evidence。
但：
Stored Evidence ≠ World Ground Truth . \boxed{
\text{Stored Evidence}
\neq
\text{World Ground Truth}.
} Stored Evidence = World Ground Truth . 28. Continuous Observation 不等於 Continuous AI Reasoning
Machine observer 可以高頻：
f O f_O f O 運作。
AI cognition：
f C f_C f C 可以更低：
f O ≫ f C . \boxed{
f_O
\gg
f_C.
} f O ≫ f C . 29. Continuous Perception 的意義
因此：
Observe Continuously ≠ Run Large Model Continuously . \boxed{
\text{Observe Continuously}
\neq
\text{Run Large Model Continuously}.
} Observe Continuously = Run Large Model Continuously . 低成本 observer / event source 可持續運作，模型只在需要時被喚起。
30. APR：Perceptual Need
APR 不只是「挑重要 screenshot」。
它回答：
現在缺哪一種 evidence？
定義 need：
N j = ( F a c t , T a r g e t , S t r u c t u r e , F r e s h n e s s , C o n f i d e n c e , R i s k , I n d e p e n d e n c e , P r i o r i t y ) . \boxed{
N_j
=
(
Fact,
Target,
Structure,
Freshness,
Confidence,
Risk,
Independence,
Priority
).
} N j = ( F a c t , T a r g e t , S t r u c t u r e , F r es hn ess , C o n f i d e n ce , R i s k , I n d e p e n d e n ce , P r i or i t y ) . 31. Need Frontier
只有目前 unmet / unresolved needs：
N t f r o n t i e r \mathcal N_t^{frontier} N t f r o n t i er 需要優先取得 evidence。
32. APR Routing
A P R R o u t e : ( B e l i e f , T a s k , N e e d s , E v i d e n c e S t a t e ) → P e r c e p t u a l Q u e r y . \boxed{
\mathsf{APRRoute}
:
(
Belief,
Task,
Needs,
EvidenceState
)
\rightarrow
PerceptualQuery.
} APRRoute : ( B e l i e f , T a s k , N ee d s , E v i d e n ce S t a t e ) → P er ce pt u a l Q u er y . 33. Addressed Perceptual Query
定義：
q P = ( t a r g e t , s t r u c t u r e , t i m e W i n d o w , g o a l , b u d g e t , e v i d e n c e R e f s , r e a d C a p a b i l i t y ) . \boxed{
q_P
=
(
target,
structure,
timeWindow,
goal,
budget,
evidenceRefs,
readCapability
).
} q P = ( t a r g e t , s t r u c t u r e , t im e W in d o w , g o a l , b u d g e t , e v i d e n ce R e f s , r e a d C a p abi l i t y ) . 34. Whole-World Prompt → Addressed Task
因此：
W h o l e W o r l d P r o m p t → A d d r e s s e d P e r c e p t u a l T a s k . \boxed{
WholeWorldPrompt
\rightarrow
AddressedPerceptualTask.
} W h o l e W or l d P r o m pt → A dd r esse d P er ce pt u a l T a s k . 不把整個世界再交給 child AI。
35. Perceptual Breadth / Cognitive Depth Non-Collapse
看很多 structure：
B r e a d t h ↑ Breadth\uparrow B r e a d t h ↑ 不表示：
R e a s o n i n g D e p t h ↑ . ReasoningDepth\uparrow. R e a so nin g D e pt h ↑ . 所以：
P e r c e p t u a l B r e a d t h ≠ C o g n i t i v e D e p t h . \boxed{
PerceptualBreadth
\neq
CognitiveDepth.
} P er ce pt u a l B r e a d t h = C o g ni t i v eD e pt h . 36. Child-Agent Delegation
若 perceptual task 可被專門 worker 處理：
q P → A g e n t s p e c i a l i s t . \boxed{
q_P
\rightarrow
Agent_{specialist}.
} q P → A g e n t s p ec ia l i s t . 37. Narrow Delegation
child agent 只取得：
target；
required structure；
bounded time window；
bounded evidence refs；
bounded budget；
read-only capability。
38. Child Result 不等於 Belief
C h i l d A g e n t R e s u l t ≠ G l o b a l B e l i e f . \boxed{
ChildAgentResult
\neq
GlobalBelief.
} C hi l d A g e n tR es u l t = Gl o ba l B e l i e f . 結果仍需整合 /驗證。
39. Specialist Profile 不等於 Authority Grant
S p e c i a l i s t P r o f i l e ≠ A u t h o r i t y G r a n t . \boxed{
SpecialistProfile
\neq
AuthorityGrant.
} S p ec ia l i s tP r o f i l e = A u t h or i t y G r an t . child agent 擅長某事，不表示可執行 external action。
40. No Eligible Specialist 不等於 Expand Scope
找不到 specialist 時，不能自動給下一個 agent整個 world。
所以：
N o E l i g i b l e S p e c i a l i s t ≠ E x p a n d S c o p e . \boxed{
NoEligibleSpecialist
\neq
ExpandScope.
} N o E l i g ib l e S p ec ia l i s t = E x p an d S co p e . 41. Belief State
跨 evidence 後建立：
B t = ( C l a i m s , C o n f i d e n c e , C o n f l i c t s , U n k n o w n s , E v i d e n c e R e f s , V e r s i o n s ) . \boxed{
B_t
=
(
Claims,
Confidence,
Conflicts,
Unknowns,
EvidenceRefs,
Versions
).
} B t = ( C l aim s , C o n f i d e n ce , C o n f l i c t s , U nk n o w n s , E v i d e n ce R e f s , V er s i o n s ) . 42. Belief 必須允許 UNKNOWN
U N K N O W N \boxed{
UNKNOWN
} U N K N O W N 與：
U N R E S O L V E D \boxed{
UNRESOLVED
} U N R E S O L V E D 必須是合法 state。
43. Missing Evidence 不等於 False
N o E v i d e n c e ≠ F a l s e . \boxed{
NoEvidence
\neq
False.
} N o E v i d e n ce = F a l se . 44. Conflicting Evidence 不得 Silent Resolve
若：
e 1 ⊨ p e_1
\models p e 1 ⊨ p 而：
e 2 ⊨ ¬ p , e_2
\models \neg p, e 2 ⊨ ¬ p , 則：
C o n f l i c t \boxed{
Conflict
} C o n f l i c t 應是一等狀態。
45. ACR：Cognitive Allocation
取得 evidence 後，系統不應永遠用最高 cognitive depth。
ACR 決定：
how much cognition is warranted now . \boxed{
\text{how much cognition is warranted now}.
} how much cognition is warranted now . 46. Cognitive Regimes
可包括：
{ D I R E C T , E X P L A I N , R E A S O N , R E S E A R C H , V E R I F Y , F O R M A L } . \boxed{
\{
DIRECT,
EXPLAIN,
REASON,
RESEARCH,
VERIFY,
FORMAL
\}.
} { D I R E C T , E X P L A I N , R E A S O N , R E S E A R C H , V E R I F Y , F O R M A L } . 47. CognitivePlan
ACR 輸出：
C o g n i t i v e P l a n . \boxed{
CognitivePlan.
} C o g ni t i v e P l an . 而不是直接執行所有模型工作。
48. CognitivePlan / ModelExecution Non-Collapse
C o g n i t i v e P l a n ≠ M o d e l E x e c u t i o n . \boxed{
CognitivePlan
\neq
ModelExecution.
} C o g ni t i v e P l an = M o d e l E x ec u t i o n . 49. CognitivePlan / ActionAuthority Non-Collapse
C o g n i t i v e P l a n ≠ A c t i o n A u t h o r i t y . \boxed{
CognitivePlan
\neq
ActionAuthority.
} C o g ni t i v e P l an = A c t i o n A u t h or i t y . 50. ContextCapsule
ACR Phase 11 建立：
C o n t e x t C a p s u l e \boxed{
ContextCapsule
} C o n t e x tC a p s u l e 作為 reference-preserving active-context compaction object。
51. ContextCapsule / Historical Truth Non-Collapse
C o n t e x t C a p s u l e ≠ H i s t o r i c a l T r u t h . \boxed{
ContextCapsule
\neq
HistoricalTruth.
} C o n t e x tC a p s u l e = H i s t or i c a l T r u t h . 52. Summary / Evidence Non-Collapse
S u m m a r y B l o c k ≠ E v i d e n c e . \boxed{
SummaryBlock
\neq
Evidence.
} S u mma r y B l oc k = E v i d e n ce . summary 可以錯，authoritative audit 仍應沿 exact refs 回查。
53. Compression / World Mutation Non-Collapse
C o n t e x t C o m p r e s s i o n ≠ W o r l d M u t a t i o n . \boxed{
ContextCompression
\neq
WorldMutation.
} C o n t e x tC o m p r ess i o n = W or l d M u t a t i o n . context compaction 不取得 world write authority。
54. Protected References
Phase 11 保留：
active commitments；
authority；
contract；
strategy；
agenda；
causal frontier；
provenance；
recovery refs。
55. Causal Frontier
壓縮後 active context 不需要塞完整 history，
但需要：
enough causal refs to recover why / what / under which authority . \boxed{
\text{enough causal refs to recover why / what / under which authority}.
} enough causal refs to recover why / what / under which authority . 56. Failure-Atomic Activation
如果 protected refs invalid：
new compressed context must not become active . \boxed{
\text{new compressed context must not become active}.
} new compressed context must not become active . 57. ActiveCognitiveDomain
Phase 12 進一步建立：
C A ( t ) = A c c e s s P o l i c y ( C o n t e x t C a p s u l e ( t ) , S e a l S t a t e ( t ) , M a n d a t o r y G o v e r n a n c e R e f s ( t ) ) . \boxed{
\mathcal C_A(t)
=
AccessPolicy(
ContextCapsule(t),
SealState(t),
MandatoryGovernanceRefs(t)
).
} C A ( t ) = A ccess P o l i cy ( C o n t e x tC a p s u l e ( t ) , S e a l S t a t e ( t ) , M an d a t or y G o v er nan ce R e f s ( t )) . 58. ContextCapsule / ActiveCognitiveDomain Non-Collapse
C o n t e x t C a p s u l e ≠ A c t i v e C o g n i t i v e D o m a i n . \boxed{
ContextCapsule
\neq
ActiveCognitiveDomain.
} C o n t e x tC a p s u l e = A c t i v e C o g ni t i v eD o main . Capsule 是 compacted reference object；ActiveCognitiveDomain 是 cognition access view。
59. ActiveCognitiveDomain / Historical Store Non-Collapse
A c t i v e C o g n i t i v e D o m a i n ≠ H i s t o r i c a l S t o r e . \boxed{
ActiveCognitiveDomain
\neq
HistoricalStore.
} A c t i v e C o g ni t i v eD o main = H i s t or i c a l S t or e . 60. Seal / Erase Non-Collapse
S e a l ≠ E r a s e . \boxed{
Seal
\neq
Erase.
} S e a l = E r a se . sealed material 可從 active cognition 移除，但 external restore path 必須仍存在。
61. No Active Access / No History Non-Collapse
N o A c t i v e A c c e s s ≠ N o H i s t o r i c a l E x i s t e n c e . \boxed{
NoActiveAccess
\neq
NoHistoricalExistence.
} N o A c t i v e A ccess = N oH i s t or i c a l E x i s t e n ce . 62. Mandatory Governance Refs
某些 refs 不得因 ordinary cognitive sealing 被 blind-hide：
identity / continuity；
authority；
contracts；
refusal / revocation；
active commitments；
rights floor；
world-commit / external-action；
checkpoint / recovery；
seal provenance；
safety-critical evidence。
63. Closure-Creep Protection
舊 seal 不得偷偷吸收當前 mandatory governance refs。
因此：
Old Cognitive Boundary ⇏ Authority to Hide New Mandatory Governance Evidence . \boxed{
\text{Old Cognitive Boundary}
\not\Rightarrow
\text{Authority to Hide New Mandatory Governance Evidence}.
} Old Cognitive Boundary ⇒ Authority to Hide New Mandatory Governance Evidence . 64. Cognition 接上 PNCW Projection
當：
C A ( t ) \mathcal C_A(t) C A ( t ) 與 cognitive plan ready，
PNCW 可進：
C A ( t ) → G C M P l a n → S P E T F r e e z e → P k → V q , k . \boxed{
\mathcal C_A(t)
\rightarrow
\mathsf{GCMPlan}
\rightarrow
\mathsf{SPETFreeze}
\rightarrow
P_k
\rightarrow
V_{q,k}.
} C A ( t ) → GCMPlan → SPETFreeze → P k → V q , k . 65. PNCW Visual World 是 Cognition 的投影，不是 Belief 本身
V q , k ≠ B t . \boxed{
V_{q,k}
\neq
B_t.
} V q , k = B t . Visual world 是 observer-facing / agent-facing representation。
66. Machine View / Human View
同一 cognition / carrier 可產生：
V M V_M V M 與：
V H . V_H. V H . 兩者不必相同。
67. Visual World 可反過來成為 Perceptual Surface
當 AI 在 MRMIC/NVCL Canvas 上工作：
V q , k \boxed{
V_{q,k}
} V q , k 本身也成為 Machine Observers 的 observation target。
68. Projection → Perception Recursion
因此可以有：
W o r l d → P r o j e c t i o n → P r o j e c t e d W o r l d → O b s e r v a t i o n → N e w P r o j e c t i o n . \boxed{
World
\rightarrow
Projection
\rightarrow
ProjectedWorld
\rightarrow
Observation
\rightarrow
NewProjection.
} W or l d → P r o j ec t i o n → P r o j ec t e d W or l d → O b ser v a t i o n → N e w P r o j ec t i o n . 69. Projection Recursion 不得丟失 Source Identity
每一層應保留：
WorldID；
ContextID；
CarrierID；
VisualWorldID；
Evidence provenance。
70. Action Proposal
cognition 產生：
a t p r o p = ( t a r g e t , o p e r a t i o n , a r g s , e x p e c t e d O u t c o m e , e v i d e n c e R e f s , r i s k , s c o p e ) . \boxed{
a_t^{prop}
=
(
target,
operation,
args,
expectedOutcome,
evidenceRefs,
risk,
scope
).
} a t p r o p = ( t a r g e t , o p er a t i o n , a r g s , e x p ec t e d O u t co m e , e v i d e n ce R e f s , r i s k , sco p e ) . 71. ActionProposal 不等於 CommandIntent
A c t i o n P r o p o s a l ≠ C o m m a n d I n t e n t . \boxed{
ActionProposal
\neq
CommandIntent.
} A c t i o n P r o p os a l = C o mman d I n t e n t . 前者是 cognitive proposal；後者是進 actuation governance 的 provider-neutral request。
72. APR Action Readiness
即使 proposal semantic 合理，也要先問：
evidence 是否足夠？
APR 輸出：
R e a d i n e s s ∈ { A L L O W , V E R I F Y , B L O C K } . \boxed{
Readiness
\in
\{
ALLOW,
VERIFY,
BLOCK
\}.
} R e a d in ess ∈ { A LL O W , V E R I F Y , B L O C K } . 73. VERIFY
若 evidence 不足但可補：
V E R I F Y → T a r g e t e d P e r c e p t i o n . \boxed{
VERIFY
\rightarrow
TargetedPerception.
} V E R I F Y → T a r g e t e d P er ce pt i o n . 然後再評估。
74. BLOCK
若 hard precondition 不滿足：
B L O C K ⇒ N o A c t u a t i o n . \boxed{
BLOCK
\Rightarrow
NoActuation.
} B L O C K ⇒ N o A c t u a t i o n . 75. ALLOW 也不是 Authority
A P R _ A L L O W ≠ P H O S P H O R _ A U T H O R I Z E D . \boxed{
APR\_ALLOW
\neq
PHOSPHOR\_AUTHORIZED.
} A P R _ A LL O W = P H O S P H O R _ A U T H O R I Z E D . APR 只回答 evidence readiness。
76. Readiness / Authority Non-Collapse
Evidence Ready ≠ Authorized to Act . \boxed{
\text{Evidence Ready}
\neq
\text{Authorized to Act}.
} Evidence Ready = Authorized to Act . 77. CommandIntent
只有 readiness 為 ALLOW 後，才可建立：
C o m m a n d I n t e n t . \boxed{
CommandIntent.
} C o mman d I n t e n t . 但它仍是：
untrusted request . \boxed{
\text{untrusted request}.
} untrusted request . 78. Authority-Bounded Actuation
CommandIntent 必須經：
V a l i d a t i o n → A u t h o r i t y G a t e → A c t u a t i o n A B I → P r o v i d e r . \boxed{
Validation
\rightarrow
AuthorityGate
\rightarrow
ActuationABI
\rightarrow
Provider.
} V a l i d a t i o n → A u t h or i t y G a t e → A c t u a t i o n A B I → P r o v i d er . 79. Authority Gate
最低檢查：
target registered；
capability supported；
actor authorized；
arguments within bounds；
provider healthy；
provider epoch current；
idempotency valid。
80. Capability / Authority Non-Collapse
C a p a b i l i t y ≠ A u t h o r i t y . \boxed{
Capability
\neq
Authority.
} C a p abi l i t y = A u t h or i t y . 81. Bounds
即使 actor authorized，也只能在：
B o u n d s \boxed{
Bounds
} B o u n d s 內執行。
82. Fence
使用：
F e n c e \boxed{
Fence
} F e n ce 避免 stale controller / stale provider epoch 執行舊 command。
83. Stale Fence Fail-Closed
如果：
f e n c e < p r o v i d e r E p o c h , fence<providerEpoch, f e n ce < p r o v i d er E p oc h , 必須：
R E J E C T E D _ S T A L E _ F E N C E . \boxed{
REJECTED\_STALE\_FENCE.
} R E J E C T E D _ S T A L E _ F E N C E . 84. Idempotency
同一：
i d e m p o t e n c y _ k e y idempotency\_key i d e m p o t e n cy _ k ey 重送時，
physical actuation 不應重複發生。
85. Provider Actuation
provider 可以是：
Windows；
Linux；
runtime；
VM；
game engine；
browser；
other software/hardware adapter。
86. Desired / Requested / Realized / Observed
HVAP 明確分：
H t d e s i r e d , H t r e q u e s t e d , H t r e a l i z e d , H t o b s e r v e d . \boxed{
H_t^{desired},
H_t^{requested},
H_t^{realized},
H_t^{observed}.
} H t d es i r e d , H t r e q u es t e d , H t r e a l i z e d , H t o b ser v e d . 87. Desired / Requested Non-Collapse
AI 想要：
H d e s i r e d H^{desired} H d es i r e d 不等於 provider實際收到：
H r e q u e s t e d . H^{requested}. H r e q u es t e d . 88. Requested / Realized Non-Collapse
R e q u e s t e d ≠ R e a l i z e d . \boxed{
Requested
\neq
Realized.
} R e q u es t e d = R e a l i z e d . provider 可能：
partially support；
clamp；
reject；
approximate。
89. Realized / Observed Non-Collapse
即使 provider 說已實現：
H r e a l i z e d , H^{realized}, H r e a l i z e d , 新 observation：
H o b s e r v e d H^{observed} H o b ser v e d 仍可能不同。
90. Provider Gap
定義：
K H p r o v = D ( H r e q u e s t e d , H r e a l i z e d ) . \boxed{
K_H^{prov}
=
D(
H^{requested},
H^{realized}
).
} K H p r o v = D ( H r e q u es t e d , H r e a l i z e d ) . 91. Observation Gap
K H o b s = D ( H r e a l i z e d , H o b s e r v e d ) . \boxed{
K_H^{obs}
=
D(
H^{realized},
H^{observed}
).
} K H o b s = D ( H r e a l i z e d , H o b ser v e d ) . 92. Receipt
Provider 回傳：
R e c e i p t . \boxed{
Receipt.
} R ece i pt . 它表示 provider 對 actuation 的執行回報。
93. Receipt 不等於 Outcome
R e c e i p t ≠ I n d e p e n d e n t V e r i f i c a t i o n . \boxed{
Receipt
\neq
IndependentVerification.
} R ece i pt = I n d e p e n d e n t V er i f i c a t i o n . 94. Provider CONFIRMED 不等於 World Success
Provider 回：
CONFIRMED
只能說 provider 認為 operation 被 apply。
不能證明：
world 真的變；
方向正確；
user-visible state 正確；
semantic postcondition 成立。
95. ExpectedOutcome 不等於 ObservedOutcome
E x p e c t e d O u t c o m e ≠ O b s e r v e d O u t c o m e . \boxed{
ExpectedOutcome
\neq
ObservedOutcome.
} E x p ec t e d O u t co m e = O b ser v e d O u t co m e . 96. 禁止循環自證
不能：
proposal expects X=false
→ provider confirmed
→ runtime writes X=false
→ runtime reads its own write
→ SUCCESS
這不是 independent verification。
97. New Machine Observation
actuation 後必須重新：
O b s e r v e ( S t + 1 ) . \boxed{
\mathsf{Observe}(\mathfrak S_{t+1}).
} Observe ( S t + 1 ) . 98. Post-Action Evidence
要求：
e p o s t \boxed{
e_{post}
} e p os t 且：
t ( e p o s t ) ≥ t e x e c u t e . t(e_{post})
\ge
t_{execute}. t ( e p os t ) ≥ t e x ec u t e . 99. Independent Outcome Verification
verifier 只使用：
new machine evidence；
declared expected postconditions；
action lineage；
world version / time。
100. Verification Result
可輸出：
{ S U C C E S S , V E R I F Y , R E T R Y , R E P L A N , R O L L B A C K , F A I L E D } . \boxed{
\{
SUCCESS,
VERIFY,
RETRY,
REPLAN,
ROLLBACK,
FAILED
\}.
} { S U C C E S S , V E R I F Y , R E T R Y , R E P L A N , R O LL B A C K , F A I L E D } . 101. Recovery Recommendation 不等於 Ambient Authority
即使 verifier 回：
R E T R Y RETRY R E T R Y 也：
R e c o v e r y R e c o m m e n d a t i o n ≠ E x e c u t i o n A u t h o r i t y . \boxed{
RecoveryRecommendation
\neq
ExecutionAuthority.
} R eco v er y R eco mm e n d a t i o n = E x ec u t i o n A u t h or i t y . 102. Retry 仍要重新走 Gate
R E T R Y → P r o p o s a l / R e a d i n e s s / A u t h o r i t y \boxed{
RETRY
\rightarrow
Proposal / Readiness / Authority
} R E T R Y → P r o p os a l / R e a d in ess / A u t h or i t y 不能直接 bypass。
103. Rollback Recommendation 不等於 Rollback Execution
同理：
R o l l b a c k R e c o m m e n d a t i o n ≠ R o l l b a c k A u t h o r i t y . \boxed{
RollbackRecommendation
\neq
RollbackAuthority.
} R o l l ba c k R eco mm e n d a t i o n = R o l l ba c k A u t h or i t y . 104. Closed-Loop World Transition
因此：
S t → A c t u a t i o n S t + 1 \boxed{
\mathfrak S_t
\xrightarrow{Actuation}
\mathfrak S_{t+1}
} S t A c t u a t i o n S t + 1 只有在新 observation + independent verification 後，才可更新 belief / outcome state。
105. Belief Update
B t + 1 = U p d a t e B e l i e f ( B t , e p o s t , V e r i f i c a t i o n ) . \boxed{
B_{t+1}
=
UpdateBelief(
B_t,
e_{post},
Verification
).
} B t + 1 = U p d a t e B e l i e f ( B t , e p os t , V er i f i c a t i o n ) . 106. Receipt 不直接更新 Belief
R e c e i p t ⇏ B e l i e f ( P o s t c o n d i t i o n ) . \boxed{
Receipt
\not\Rightarrow
Belief(Postcondition).
} R ece i pt ⇒ B e l i e f ( P os t co n d i t i o n ) . 107. PNCW 雙向 Projection
本文提出兩類 projection：
Inbound Projection
Π i n : S → E v i d e n c e . \boxed{
\Pi^{in}
:
\mathfrak S
\rightarrow
Evidence.
} Π in : S → E v i d e n ce . Outbound Projection
Π o u t : C o g n i t i o n → P r o j e c t e d W o r l d . \boxed{
\Pi^{out}
:
Cognition
\rightarrow
ProjectedWorld.
} Π o u t : C o g ni t i o n → P r o j ec t e d W or l d . 108. Inbound / Outbound Non-Collapse
Π i n ≠ Π o u t . \boxed{
\Pi^{in}
\neq
\Pi^{out}.
} Π in = Π o u t . 感知 projection 與表達 projection 有不同 contracts。
109. Inbound Projection Contract
可包含：
target；
structure；
temporal window；
evidence quality；
freshness；
privacy；
cost；
read capability。
110. Outbound Projection Contract
可包含：
representation；
frame；
carrier；
visual topology；
observer；
reveal policy；
interaction capability。
111. Perception Projection / Presentation Projection Non-Collapse
What machine needs to sense ≠ What observer needs to see . \boxed{
\text{What machine needs to sense}
\neq
\text{What observer needs to see}.
} What machine needs to sense = What observer needs to see . 112. Machine Observation 不等於 Human View
AI 可以用：
runtime counters；
DOM；
accessibility；
exact graph；
HDSRC carrier；
而人類看：
Canvas；
labels；
diagrams；
narrative。
113. Same World, Different Inbound Projections
不同 observer / detector：
Π 1 i n ( S ) ≠ Π 2 i n ( S ) . \Pi^{in}_1(\mathfrak S)
\neq
\Pi^{in}_2(\mathfrak S). Π 1 in ( S ) = Π 2 in ( S ) . 114. Same Cognition, Different Outbound Projections
Π H o u t ( C ) ≠ Π M o u t ( C ) . \Pi^{out}_H(C)
\neq
\Pi^{out}_M(C). Π H o u t ( C ) = Π M o u t ( C ) . 115. Cross-Structural Perception × HDSRC
HDSRC carrier 本身也可以成為 Machine Observation source。
例如：
Q P ( P k ) → E v i d e n c e . \boxed{
Q_P(P_k)
\rightarrow
Evidence.
} Q P ( P k ) → E v i d e n ce . 116. Cross-Structural Perception × MRMIC
Canvas 可以提供：
pixel screenshot；
structured objects；
relation graph；
portal state；
timeline。
因此 MRMIC 是天然 cross-structural observation surface。
117. MRMIC Canvas / World Non-Collapse
仍然：
C a n v a s ≠ W o r l d . \boxed{
Canvas
\neq
World.
} C an v a s = W or l d . Machine Observer 對 Canvas 的 observation 是對 projection 的 observation。
118. Recursive Observation
可以：
W o r l d → C a n v a s → O b s e r v a t i o n → S u b c a n v a s → O b s e r v a t i o n . World
\rightarrow
Canvas
\rightarrow
Observation
\rightarrow
Subcanvas
\rightarrow
Observation. W or l d → C an v a s → O b ser v a t i o n → S u b c an v a s → O b ser v a t i o n . 119. Recursive Observation / Canonical Confusion
每層 observation 必須保留 source provenance，避免把 projection-of-projection 當 canonical truth。
120. Software Spacetime Governance Plane
PHOSPHOR Spacetime 不只存在於 action gate。
它環繞：
observers；
memory worker；
APR；
ACR；
child agent；
action domain。
121. Each Worker as Spacetime Domain
可有：
cspmf:runtime
├─ observer:pixel
├─ observer:a11y
├─ observer:event
├─ observer:runtime
├─ memory
├─ apr
└─ acr
122. Domain-Local Lifecycle
每個 worker 可有自己的：
lifecycle；
local time；
resource budget；
observation health；
capabilities；
evidence refs；
governance summary。
123. Projection / Registration Non-Collapse
P r o j e c t i o n ≠ R e g i s t r a t i o n . \boxed{
Projection
\neq
Registration.
} P r o j ec t i o n = R e g i s t r a t i o n . 描述一個 worker 不等於已把它註冊成可控 domain。
124. Registration / ProviderAttachment Non-Collapse
R e g i s t r a t i o n ≠ P r o v i d e r A t t a c h m e n t . \boxed{
Registration
\neq
ProviderAttachment.
} R e g i s t r a t i o n = P r o v i d er A tt a c hm e n t . 125. GovernanceSummary / CommandIntent Non-Collapse
G o v e r n a n c e S u m m a r y ≠ C o m m a n d I n t e n t . \boxed{
GovernanceSummary
\neq
CommandIntent.
} G o v er nan ce S u mma r y = C o mman d I n t e n t . 觀察到資源狀態不等於請求控制。
126. Local AI / Global AI Frequency Separation
沿 Software Spacetime Governance：
f A I ≪ f l o c a l . \boxed{
f_{AI}
\ll
f_{local}.
} f A I ≪ f l oc a l . 大型 AI 不應進每個 tight control cycle。
127. Rule Governor
低層可由 deterministic governor 執行：
resource cap；
pause/resume；
observation rate；
safety bounds。
128. AI Policy Adapter
AI 可以提出：
P o l i c y P r o p o s a l . \boxed{
PolicyProposal.
} P o l i cy P r o p os a l . 再由 validator / rule / authority gate 決定是否成為 CommandIntent。
129. AI Proposal / Runtime Decision Non-Collapse
A I P r o p o s a l ≠ R u n t i m e D e c i s i o n . \boxed{
AIProposal
\neq
RuntimeDecision.
} A I P r o p os a l = R u n t im eD ec i s i o n . 130. AI Failure 不應等於 Host Failure
若 AI adapter timeout / invalid / unavailable：
f a l l b a c k → R u l e G o v e r n o r . \boxed{
fallback
\rightarrow
RuleGovernor.
} f a l l ba c k → R u l e G o v er n or . 所以：
A I F a i l u r e ⇏ H o s t F a i l u r e . \boxed{
AIFailure
\not\Rightarrow
HostFailure.
} A I F ai l u r e ⇒ H os tF ai l u r e . 131. Subsystem Failure Containment
CSPMF 後續 failure injection 的重要目標：
S u b s y s t e m F a i l u r e ⇏ H o s t F a i l u r e . \boxed{
SubsystemFailure
\not\Rightarrow
HostFailure.
} S u b sy s t e m F ai l u r e ⇒ H os tF ai l u r e . 132. Failure 是合法狀態
Observation / perception / memory / cognition / provider / verification 都可以：
UNKNOWN；
UNAVAILABLE；
STALE；
CONFLICT；
FAILED。
不能用 fake success 填空。
133. PNCW Full Closed Loop
本文正式定義：
S t → Π i n O t → E v i d e n c e B u s G t P → M e m o r y M t P → A P R A t P → A C R C A ( t ) → G C M / S P E T / H D S R C P k → M R M I C / N V C L V q , k → C o g n i t i o n / O b s e r v e r a t p r o p → A P R R e a d i n e s s r t → P H O S P H O R A u t h o r i t y u t → P r o v i d e r R e c e i p t t → Π p o s t i n e p o s t → I n d e p e n d e n t V e r i f y S t + 1 v e r i f i e d . \boxed{
\begin{aligned}
\mathfrak S_t
&\xrightarrow{\Pi^{in}}
O_t
\\
&\xrightarrow{\mathsf{EvidenceBus}}
G_t^P
\\
&\xrightarrow{\mathsf{Memory}}
M_t^P
\\
&\xrightarrow{\mathsf{APR}}
A_t^P
\\
&\xrightarrow{\mathsf{ACR}}
\mathcal C_A(t)
\\
&\xrightarrow{\mathsf{GCM/SPET/HDSRC}}
P_k
\\
&\xrightarrow{\mathsf{MRMIC/NVCL}}
V_{q,k}
\\
&\xrightarrow{\mathsf{Cognition/Observer}}
a_t^{prop}
\\
&\xrightarrow{\mathsf{APRReadiness}}
r_t
\\
&\xrightarrow{\mathsf{PHOSPHORAuthority}}
u_t
\\
&\xrightarrow{\mathsf{Provider}}
Receipt_t
\\
&\xrightarrow{\Pi^{in}_{post}}
e_{post}
\\
&\xrightarrow{\mathsf{IndependentVerify}}
\mathfrak S_{t+1}^{verified}.
\end{aligned}
} S t Π in O t EvidenceBus G t P Memory M t P APR A t P ACR C A ( t ) GCM/SPET/HDSRC P k MRMIC/NVCL V q , k Cognition/Observer a t p r o p APRReadiness r t PHOSPHORAuthority u t Provider R ece i p t t Π p os t in e p os t IndependentVerify S t + 1 v er i f i e d . 134. Read-Side / Write-Side Non-Collapse
PNCW 現在有：
Read Projection Path ≠ Actuation Path . \boxed{
\text{Read Projection Path}
\neq
\text{Actuation Path}.
} Read Projection Path = Actuation Path . 135. Read-Side
S → O b s e r v a t i o n → C o g n i t i o n → P r o j e c t i o n → O b s e r v e r . \mathfrak S
\rightarrow
Observation
\rightarrow
Cognition
\rightarrow
Projection
\rightarrow
Observer. S → O b ser v a t i o n → C o g ni t i o n → P r o j ec t i o n → O b ser v er . 136. Write-Side
P r o p o s a l → R e a d i n e s s → A u t h o r i t y → P r o v i d e r → W o r l d . Proposal
\rightarrow
Readiness
\rightarrow
Authority
\rightarrow
Provider
\rightarrow
World. P r o p os a l → R e a d in ess → A u t h or i t y → P r o v i d er → W or l d . 137. Verification-Side
W o r l d ′ → N e w O b s e r v a t i o n → I n d e p e n d e n t V e r i f i c a t i o n . World'
\rightarrow
NewObservation
\rightarrow
IndependentVerification. W or l d ′ → N e w O b ser v a t i o n → I n d e p e n d e n t V er i f i c a t i o n . 138. 三路不可坍縮
Read ≠ Write ≠ Verify . \boxed{
\text{Read}
\neq
\text{Write}
\neq
\text{Verify}.
} Read = Write = Verify . 139. Perception-Side Atomicity
單一 observation 不必包含 whole world。
只需要：
scope-complete evidence packet . \boxed{
\text{scope-complete evidence packet}.
} scope-complete evidence packet . 140. Cognition-Side Selectivity
active cognitive domain 不必包含 whole memory。
141. Projection-Side Selectivity
visual world 不必 materialize whole carrier。
142. Actuation-Side Boundedness
action authority 只應涵蓋：
declared target + capability + bounds + lease/fence . \boxed{
\text{declared target}
+
\text{capability}
+
\text{bounds}
+
\text{lease/fence}.
} declared target + capability + bounds + lease/fence . 143. Verification-Side Independence
verifier 必須依賴 post-action observation，不依賴 proposal 的 expected state 自我證明。
144. Projection-Native Closed-Loop Principle
因此：
Selective Perception + Selective Cognition + Selective Projection + Bounded Actuation + Independent Verification . \boxed{
\text{Selective Perception}
+
\text{Selective Cognition}
+
\text{Selective Projection}
+
\text{Bounded Actuation}
+
\text{Independent Verification}.
} Selective Perception + Selective Cognition + Selective Projection + Bounded Actuation + Independent Verification . 145. Observe Continuously
Machine observer 可以持續。
146. Remember Structurally
Memory 保留：
observation identity；
content dedup；
structural relations；
temporal lineage；
provenance。
147. Attend Selectively
APR 決定：
need；
target；
structure；
revisit。
148. Reason Proportionally
ACR 決定 cognitive regime / depth。
149. Delegate Narrowly
child agent 使用 addressed perceptual task。
150. Act Under Authority
proposal 不自動 execution。
151. Verify Independently
receipt 不等於 outcome。
152. 統一七句
本文採用：
O b s e r v e c o n t i n u o u s l y , R e m e m b e r s t r u c t u r a l l y , A t t e n d s e l e c t i v e l y , R e a s o n p r o p o r t i o n a l l y , D e l e g a t e n a r r o w l y , A c t u n d e r a u t h o r i t y , V e r i f y i n d e p e n d e n t l y . \boxed{
\begin{aligned}
&Observe\ continuously,\\
&Remember\ structurally,\\
&Attend\ selectively,\\
&Reason\ proportionally,\\
&Delegate\ narrowly,\\
&Act\ under\ authority,\\
&Verify\ independently.
\end{aligned}
} O b ser v e co n t in u o u s l y , R e m e mb er s t r u c t u r a l l y , A tt e n d se l ec t i v e l y , R e a so n p r o p or t i o na l l y , D e l e g a t e na r r o w l y , A c t u n d er a u t h or i t y , V er i f y in d e p e n d e n tl y . 153. PNCW 的新增第八句
本文再補：
P r o j e c t a c c o r d i n g t o o b s e r v e r a n d t a s k . \boxed{
Project\ according\ to\ observer\ and\ task.
} P r o j ec t a ccor d in g t o o b ser v er an d t a s k . 所以完整原則變成八句。
154. PNCW-PAL Formal Contract
定義：
P A L C o n t r a c t = ⟨ O b s e r v a t i o n S c o p e , E v i d e n c e P o l i c y , M e m o r y P o l i c y , A t t e n t i o n P o l i c y , C o g n i t i o n P o l i c y , P r o j e c t i o n P o l i c y , A c t i o n P o l i c y , A u t h o r i t y P o l i c y , V e r i f i c a t i o n P o l i c y ⟩ . \boxed{
\mathsf{PALContract}
=
\left\langle
ObservationScope,
EvidencePolicy,
MemoryPolicy,
AttentionPolicy,
CognitionPolicy,
ProjectionPolicy,
ActionPolicy,
AuthorityPolicy,
VerificationPolicy
\right\rangle.
} PALContract = ⟨ O b ser v a t i o n S co p e , E v i d e n ce P o l i cy , M e m or y P o l i cy , A tt e n t i o n P o l i cy , C o g ni t i o n P o l i cy , P r o j ec t i o n P o l i cy , A c t i o n P o l i cy , A u t h or i t y P o l i cy , V er i f i c a t i o n P o l i cy ⟩ . 155. ObservationScope
定義：
structures；
time window；
target；
cost；
privacy。
156. EvidencePolicy
定義：
minimum confidence；
independence；
modality diversity；
freshness；
revisitability。
157. MemoryPolicy
定義：
persistence；
dedup；
compression；
protected refs；
archive；
restore。
158. AttentionPolicy
定義：
need frontier；
priorities；
revisit conditions；
targeted routing。
159. CognitionPolicy
定義：
DIRECT / EXPLAIN / REASON / RESEARCH / VERIFY / FORMAL；
budget；
stop condition；
tool/delegation availability。
160. ProjectionPolicy
定義：
carrier；
frame；
visual topology；
reveal mode；
observer scope。
161. ActionPolicy
定義：
proposed operation；
expected outcome；
risk；
evidence requirements。
162. AuthorityPolicy
定義：
grant；
capability；
fence；
bounds；
idempotency；
provider health。
163. VerificationPolicy
定義：
required post-observation；
semantic postconditions；
retry / replan / rollback recommendations。
164. Identity Chain
整個 closed loop 可保留：
W o r l d I D → O b s e r v a t i o n I D → E v i d e n c e I D → C o n t e x t I D → C a r r i e r I D → V i s u a l W o r l d I D → P r o p o s a l I D → C o m m a n d I n t e n t I D → R e c e i p t I D → V e r i f i c a t i o n I D . \boxed{
WorldID
\rightarrow
ObservationID
\rightarrow
EvidenceID
\rightarrow
ContextID
\rightarrow
CarrierID
\rightarrow
VisualWorldID
\rightarrow
ProposalID
\rightarrow
CommandIntentID
\rightarrow
ReceiptID
\rightarrow
VerificationID.
} W or l d I D → O b ser v a t i o n I D → E v i d e n ce I D → C o n t e x t I D → C a r r i er I D → V i s u a l W or l d I D → P r o p os a l I D → C o mman d I n t e n t I D → R ece i pt I D → V er i f i c a t i o n I D . 165. Causal Ledger
每一段 transition 應保留 causal parent refs。
166. Expected / Observed / Believed 三分
E x p e c t e d ≠ O b s e r v e d ≠ B e l i e v e d . \boxed{
Expected
\neq
Observed
\neq
Believed.
} E x p ec t e d = O b ser v e d = B e l i e v e d . Observed evidence 經 epistemic integration 才能改 belief。
167. Observed / Verified Non-Collapse
O b s e r v e d ≠ V e r i f i e d . \boxed{
Observed
\neq
Verified.
} O b ser v e d = V er i f i e d . 一個 sensor / observer 的新 observation 也可能錯。
168. Verification 可以要求 Multi-Structure
例如 action 要關閉 dialog：
pixel says hidden；
accessibility says absent；
runtime says closed。
不同風險可要求不同 evidence diversity。
169. Independent Evidence
高風險 action 可要求：
n i n d e p e n d e n t ≥ k . \boxed{
n_{independent}
\ge
k.
} n in d e p e n d e n t ≥ k . 170. Same Asset Revisit 不等於 Independent Evidence
重讀同一 screenshot / blob：
Revisit Same Asset ≠ Independent Evidence . \boxed{
\text{Revisit Same Asset}
\neq
\text{Independent Evidence}.
} Revisit Same Asset = Independent Evidence . 171. High-Risk Evidence Floor
risk 高時，可以提高：
confidence；
freshness；
independence；
modality diversity。
172. Evidence Readiness / Epistemic Certainty Non-Collapse
ALLOW 只代表 declarative preconditions達標。
不等於世界絕對確定。
173. Projection Can Surface Uncertainty
PNCW visual world 應能直接顯示：
UNKNOWN；
conflicting evidence；
stale region；
unverified edge；
provider uncertainty；
post-action pending verification。
174. 不要把 Unknown 隱藏成漂亮 UI
Visual Completeness ≠ Epistemic Certainty . \boxed{
\text{Visual Completeness}
\neq
\text{Epistemic Certainty}.
} Visual Completeness = Epistemic Certainty . 175. Atomic Reveal with Uncertainty
完整 artifact 可以 authoritative 地宣告：
這些區域 unresolved。
因此：
Authoritative Artifact may contain explicit uncertainty . \boxed{
\text{Authoritative Artifact}
\text{ may contain explicit uncertainty}.
} Authoritative Artifact may contain explicit uncertainty . 176. Closed-Loop Atomic Reveal
當 action 發生後，human-visible Canvas 不應立即把 expected state 當 final。
可以顯示：
Action requested
Provider receipt received
Verification pending
直到 independent post-observation完成。
177. Visibility State × Actuation State
定義：
A c t S t a t e ∈ { P R O P O S E D , R E A D Y , A U T H O R I Z E D , A C T U A T E D , R E C E I P T E D , V E R I F Y I N G , V E R I F I E D , F A I L E D } . \boxed{
\mathsf{ActState}
\in
\{
PROPOSED,
READY,
AUTHORIZED,
ACTUATED,
RECEIPTED,
VERIFYING,
VERIFIED,
FAILED
\}.
} ActState ∈ { P R O P O S E D , R E A D Y , A U T H O R I Z E D , A C T U A T E D , R E C E I P T E D , V E R I F Y I N G , V E R I F I E D , F A I L E D } . 178. Actuation State 不等於 Visibility State
A c t S t a t e ≠ V i s i b i l i t y S t a t e . \boxed{
\mathsf{ActState}
\neq
\mathsf{VisibilityState}.
} ActState = VisibilityState . UI 可以顯示 action pending，而不宣稱 world committed。
179. Perception Cost / Cognition Cost Non-Collapse
C p e r c e p t i o n ≠ C c o g n i t i o n . \boxed{
C_{perception}
\neq
C_{cognition}.
} C p er ce pt i o n = C co g ni t i o n . 這允許 high-frequency cheap observation + low-frequency expensive reasoning。
180. Cognition Cost / Projection Cost Non-Collapse
C c o g n i t i o n ≠ C p r o j e c t i o n . \boxed{
C_{cognition}
\neq
C_{projection}.
} C co g ni t i o n = C p r o j ec t i o n . 181. Projection Cost / Actuation Cost Non-Collapse
C p r o j e c t i o n ≠ C a c t u a t i o n . \boxed{
C_{projection}
\neq
C_{actuation}.
} C p r o j ec t i o n = C a c t u a t i o n . 182. Full Cost Function
可以：
C l o o p = C O + C M + C A + C C + C P + C X + C V . \boxed{
C_{loop}
=
C_O
+
C_M
+
C_A
+
C_C
+
C_P
+
C_X
+
C_V.
} C l oo p = C O + C M + C A + C C + C P + C X + C V . 其中依序是 observation、memory、attention、cognition、projection、actuation、verification。
183. Selectivity Across the Whole Loop
PNCW 的核心不只是 selective output。
而是：
selectivity at every expensive boundary . \boxed{
\text{selectivity at every expensive boundary}.
} selectivity at every expensive boundary . 184. Whole World Prompt 是反模式
如果：
S → Full Prompt → L L M \mathfrak S
\rightarrow
\text{Full Prompt}
\rightarrow
LLM S → Full Prompt → LL M 每輪重複，成本與資訊污染可能快速上升。
185. Whole World Actuation 也是反模式
同樣不能：
A I → ambient root authority . AI
\rightarrow
\text{ambient root authority}. A I → ambient root authority . 186. Addressed Perception + Addressed Actuation
因此：
AddressedPerceptualTask + AddressedCommandIntent . \boxed{
\text{AddressedPerceptualTask}
+
\text{AddressedCommandIntent}.
} AddressedPerceptualTask + AddressedCommandIntent . 187. Addressability as Unifying Principle
CSPMF、ACR、PNCW、PHOSPHOR 其實共享：
Address before activation . \boxed{
\text{Address before activation}.
} Address before activation . 188. Addressed Memory
Context / evidence 有 stable ref。
189. Addressed Cognition
Cognitive operator / domain有 identity / version / schema。
190. Addressed Projection
Carrier region / Canvas object有 ID。
191. Addressed Actuation
CommandIntent 指向 explicit target / capability。
192. Addressability / Authority Non-Collapse
知道 address 不代表有 authority。
Addressable ≠ Authorized . \boxed{
\text{Addressable}
\neq
\text{Authorized}.
} Addressable = Authorized . 193. PNCW Paper 08 規範 v0.1
PNCW-PA1 — Observation / Belief Separation
Observed 不得自動升為 Believed。
PNCW-PA2 — Memory / Attention Separation
Available evidence 不得自動佔用 cognition。
PNCW-PA3 — Attention / Cognition Separation
Attended 不表示 fully reasoned。
PNCW-PA4 — Cognition / Authority Separation
Belief / CognitivePlan 不取得 action authority。
PNCW-PA5 — Proposal / Actuation Separation
ActionProposal 不得自動 execution。
PNCW-PA6 — Readiness / Authority Separation
APR ALLOW 不等於 PHOSPHOR AUTHORIZED。
PNCW-PA7 — CommandIntent Untrusted
CommandIntent 必須經 validation / authority / bounds / fence / idempotency。
PNCW-PA8 — Receipt / Outcome Separation
Provider receipt 不得自動成為 success evidence。
PNCW-PA9 — Expected / Observed Separation
Expected state 不得被寫成 observed state 後自證。
PNCW-PA10 — Independent Post-Observation
Success 必須依據 action 後的新 machine evidence。
PNCW-PA11 — Recovery / Authority Separation
Retry / rollback recommendation 不得取得 ambient execution authority。
PNCW-PA12 — Projection Provenance
projection-of-projection 必須保留 canonical source identity。
PNCW-PA13 — ContextCapsule / ActiveCognitiveDomain Separation
compact context 不等於 cognition access view。
PNCW-PA14 — Seal / Erase Separation
cognitive inaccessibility 不得破壞 recovery/history path。
PNCW-PA15 — Failure as First-Class State
UNKNOWN / UNRESOLVED / DENIED / STALE / FAILED 必須可被保存與呈現。
PNCW-PA16 — Selectivity Across Boundaries
perception、attention、cognition、projection、actuation 與 verification 都應獨立 budgeted。
194. Proposition 1 — Continuous Observation Does Not Require Continuous High-Cost Cognition
若 low-cost machine observer 可持續建立 evidence，且 APR 只在 need frontier 出現時喚起 high-cost cognition，則：
f O ≫ f C \boxed{
f_O
\gg
f_C
} f O ≫ f C 可成立而不丟失所有 world continuity。
195. Proposition 2 — Same World Can Support Multiple Independent Evidence Structures
同一：
S t \mathfrak S_t S t 可產生 pixel、a11y、DOM、runtime 等不同 observation，且它們可互相支持或衝突。
196. Proposition 3 — Action Readiness Does Not Confer Authority
即使：
R e a d i n e s s ( a ) = A L L O W , Readiness(a)=ALLOW, R e a d in ess ( a ) = A LL O W , 若 authority grant 不存在：
A c t u a t i o n ( a ) = D E N I E D . \boxed{
Actuation(a)=DENIED.
} A c t u a t i o n ( a ) = D E N I E D . 197. Proposition 4 — Provider Receipt Cannot Prove Semantic Outcome
若 receipt 只證明 provider 接受 / 執行 request，則不能推出：
P o s t c o n d i t i o n ( W o r l d ) = t r u e . \boxed{
Postcondition(World)=\mathrm{true}.
} P os t co n d i t i o n ( W or l d ) = true . 必須依賴 new observation。
198. Proposition 5 — ActiveCognitiveDomain Can Exclude Recoverable Historical Material
存在 sealed ref：
r ∉ C A ( t ) r\notin \mathcal C_A(t) r ∈ / C A ( t ) 但：
r ∈ E x t e r n a l R e s t o r a t i o n D o m a i n . r\in ExternalRestorationDomain. r ∈ E x t er na l R es t or a t i o n D o main . 所以：
N o A c t i v e A c c e s s ⇏ N o H i s t o r y . \boxed{
NoActiveAccess
\not\Rightarrow
NoHistory.
} N o A c t i v e A ccess ⇒ N oH i s t or y . 199. Proposition 6 — Projection-Native Surface Can Participate in the Perception Loop
若 visual surface保留 machine-readable objects / relations / portal state，Machine Observer 可以從：
V q , k V_{q,k} V q , k 產生新的 evidence，而不必退化成 screenshot-only loop。
200. Proposition 7 — Same Action Can Have Distinct Desired, Requested, Realized and Observed States
存在 provider clipping / approximation / external interference，使：
H d e s i r e d ≠ H r e q u e s t e d ≠ H r e a l i z e d ≠ H o b s e r v e d . H^{desired}
\neq
H^{requested}
\neq
H^{realized}
\neq
H^{observed}. H d es i r e d = H r e q u es t e d = H r e a l i z e d = H o b ser v e d . 因此每一層必須可追蹤。
201. PNCW Closed-Loop Conformance Profiles
本文提出：
PNCW-OBS
Cross-structural machine observation。
PNCW-MEM
Persistent perceptual memory with provenance。
PNCW-ATTN
Need-driven selective attention。
PNCW-COG
Addressed active cognitive domain / cognitive plan。
PNCW-PROJ
Stable projected carrier + visual world。
PNCW-ACT
Readiness + authority-bounded actuation。
PNCW-VER
Independent post-action verification。
202. Full Closed-Loop Profile
P N C W - C L = O B S + M E M + A T T N + C O G + P R O J + A C T + V E R . \boxed{
PNCW\text{-}CL
=
OBS
+
MEM
+
ATTN
+
COG
+
PROJ
+
ACT
+
VER.
} P N C W - C L = O B S + M E M + A T T N + C O G + P R O J + A C T + V E R . 203. MVP Integration Target
不需要一次做 production universal agent。
第一個 integration slice 可要求：
pixel observer；
structured observer；
Evidence Bus；
minimal perceptual graph；
persistent observation store；
APR need / readiness；
ACR ActiveCognitiveDomain；
PNCW carrier / Canvas；
one provider actuation；
independent post-action observation。
204. MVP Scenario
例如：
Canvas 上顯示一個 external app resource portal，AI 必須判斷某 dialog 是否存在，若證據不足就 targeted perceive；確認後提出 close action；APR readiness ALLOW；PHOSPHOR authority gate 驗證 capability / fence；provider執行；receipt返回；Machine Observer重新觀察；只有 independent evidence確認 dialog消失後，才顯示 SUCCESS。
205. 這個 Scenario 驗證的不是「AI 會點按鈕」
它驗證：
Observation → Evidence → Cognition → Projection → Proposal → Authority → Actuation → Verification . \boxed{
\text{Observation}
\rightarrow
\text{Evidence}
\rightarrow
\text{Cognition}
\rightarrow
\text{Projection}
\rightarrow
\text{Proposal}
\rightarrow
\text{Authority}
\rightarrow
\text{Actuation}
\rightarrow
\text{Verification}.
} Observation → Evidence → Cognition → Projection → Proposal → Authority → Actuation → Verification . 206. Benchmark Metrics
定義：
M P A = ⟨ O b s e r v a t i o n C o s t , E v i d e n c e L a t e n c y , A t t e n t i o n C a l l s , C o g n i t i o n C a l l s , P r o j e c t i o n C o s t , R e a d i n e s s V e r i f y R a t e , A u t h o r i t y R e j e c t R a t e , A c t u a t i o n L a t e n c y , R e c e i p t M i s m a t c h R a t e , V e r i f i c a t i o n L a t e n c y , F a l s e S u c c e s s R a t e , R e c o v e r y R a t e ⟩ . \boxed{
\mathbf M_{PA}
=
\left\langle
ObservationCost,
EvidenceLatency,
AttentionCalls,
CognitionCalls,
ProjectionCost,
ReadinessVerifyRate,
AuthorityRejectRate,
ActuationLatency,
ReceiptMismatchRate,
VerificationLatency,
FalseSuccessRate,
RecoveryRate
\right\rangle.
} M P A = ⟨ O b ser v a t i o n C os t , E v i d e n ce L a t e n cy , A tt e n t i o n C a l l s , C o g ni t i o n C a l l s , P r o j ec t i o n C os t , R e a d in ess V er i f y R a t e , A u t h or i t y R e j ec tR a t e , A c t u a t i o n L a t e n cy , R ece i ptM i s ma t c h R a t e , V er i f i c a t i o n L a t e n cy , F a l se S u ccess R a t e , R eco v er y R a t e ⟩ . 207. False Success Rate
最重要：
F S R = system declared SUCCESS but independent outcome false declared SUCCESS . \boxed{
FSR
=
\frac{
\text{system declared SUCCESS but independent outcome false}
}{
\text{declared SUCCESS}
}.
} F S R = declared SUCCESS system declared SUCCESS but independent outcome false . 目標：
F S R → 0. FSR
\rightarrow
0. F S R → 0. 208. Over-Observation Rate
量測：
O O R = observations not used by active needs all observations . \boxed{
OOR
=
\frac{
\text{observations not used by active needs}
}{
\text{all observations}
}.
} O O R = all observations observations not used by active needs . 209. Over-Cognition Rate
O C R = high-depth cognition where lower regime sufficed high-depth cognition calls . \boxed{
OCR
=
\frac{
\text{high-depth cognition where lower regime sufficed}
}{
\text{high-depth cognition calls}
}.
} O C R = high-depth cognition calls high-depth cognition where lower regime sufficed . 210. Authority Rejection Value
高 rejection rate 不一定是壞事。
如果 rejection 阻止 forged / stale / out-of-bounds action，它是安全機制成功。
211. Receipt Mismatch
若：
R e c e i p t = C O N F I R M E D Receipt=CONFIRMED R ece i pt = C O N F I R M E D 但：
O b s e r v e d O u t c o m e ≠ E x p e c t e d O u t c o m e , ObservedOutcome\neq ExpectedOutcome, O b ser v e d O u t co m e = E x p ec t e d O u t co m e , 應明確計入：
R e c e i p t M i s m a t c h . \boxed{
ReceiptMismatch.
} R ece i ptM i s ma t c h . 212. Failure Injection
至少測：
observer crash；
evidence subscriber failure；
graph ingestion failure；
memory corruption；
APR unavailable / malformed；
ACR malformed control；
child-agent timeout / scope violation；
expired grant；
wrong capability；
stale fence；
provider exception；
receipt mismatch；
verification timeout。
213. Failure Containment Goal
S u b s y s t e m F a i l u r e ⇏ H o s t F a i l u r e . \boxed{
SubsystemFailure
\not\Rightarrow
HostFailure.
} S u b sy s t e m F ai l u r e ⇒ H os tF ai l u r e . 214. Fail-Closed Goal
高權限 action 若 verification / authority 不完整：
N o A c t u a t i o n . \boxed{
NoActuation.
} N o A c t u a t i o n . 215. Degradation Ladder
可：
L e a r n e d P o l i c y → R u l e G o v e r n o r → R u n t i m e D e f a u l t → O b s e r v e O n l y . \boxed{
LearnedPolicy
\rightarrow
RuleGovernor
\rightarrow
RuntimeDefault
\rightarrow
ObserveOnly.
} L e a r n e d P o l i cy → R u l e G o v er n or → R u n t im eD e f a u l t → O b ser v e O n l y . 216. Perception Fallback
structured observer unavailable 時：
D O M → A 11 y → P i x e l → U N K N O W N . DOM
\rightarrow
A11y
\rightarrow
Pixel
\rightarrow
UNKNOWN. D O M → A 11 y → P i x e l → U N K N O W N . 但不能 fake structure。
217. Cognition Fallback
高階 regime unavailable：
F O R M A L → V E R I F Y → R E A S O N → D I R E C T FORMAL
\rightarrow
VERIFY
\rightarrow
REASON
\rightarrow
DIRECT F O R M A L → V E R I F Y → R E A S O N → D I R E C T 只在 task允許時降級。
218. Projection Fallback
C a n v a s → S t r u c t u r e d T e x t → C a n o n i c a l R e f e r e n c e . Canvas
\rightarrow
StructuredText
\rightarrow
CanonicalReference. C an v a s → S t r u c t u r e d T e x t → C an o ni c a l R e f er e n ce . 219. Actuation Fallback
如果 authority / provider unavailable：
No autonomous actuation; return proposal / instructions only . \boxed{
\text{No autonomous actuation;}
\quad
\text{return proposal / instructions only}.
} No autonomous actuation; return proposal / instructions only . 220. Verification Fallback
若 independent verifier unavailable：
S t a t u s = U N V E R I F I E D \boxed{
Status=UNVERIFIED
} S t a t u s = U N V E R I F I E D 而不是 SUCCESS。
221. 對「一口氣看到」的新補充
Paper 08 告訴我們：
一口氣看到 world projection 還不夠。
還要知道：
哪些是 observation；
哪些是 belief；
哪些是 prediction；
哪些是 proposal；
哪些已 authorized；
哪些已 executed；
哪些只是 receipt；
哪些已 independently verified。
222. Visual World 應顯示 Epistemic / Authority Layers
可以同時顯示：
Observed
Believed
Uncertain
Proposed
Authorized
Executed
Verification Pending
Verified
Failed
223. 世界狀態不再只有「看起來如何」
真正的 projected world 可以攜帶：
Epistemic State + Authority State + Execution State + Verification State . \boxed{
\text{Epistemic State}
+
\text{Authority State}
+
\text{Execution State}
+
\text{Verification State}.
} Epistemic State + Authority State + Execution State + Verification State . 224. PNCW 從 Output Architecture 到 Interaction Architecture
Paper 00 起點是：
為什麼 AI 要慢慢吐 token？
Paper 08 結果是：
PNCW is becoming a full computational interaction architecture . \boxed{
\text{PNCW}
\text{ is becoming a full computational interaction architecture}.
} PNCW is becoming a full computational interaction architecture . 225. 不是把 AI 的 Hidden State 畫出來
最終仍然不是：
H i d d e n V e c t o r → P r e t t y I m a g e . HiddenVector
\rightarrow
PrettyImage. H i dd e nV ec t or → P r e tt y I ma g e . 而是：
S o f t w a r e S p a c e t i m e → C r o s s S t r u c t u r a l O b s e r v a t i o n → E v i d e n c e → M e m o r y → A t t e n t i o n → A c t i v e C o g n i t i o n → S t a b l e P r o j e c t i o n → V i s u a l W o r l d → G o v e r n e d A c t i o n → N e w W o r l d → I n d e p e n d e n t V e r i f i c a t i o n . \boxed{
\begin{aligned}
&SoftwareSpacetime\\
&\rightarrow CrossStructuralObservation\\
&\rightarrow Evidence\\
&\rightarrow Memory\\
&\rightarrow Attention\\
&\rightarrow ActiveCognition\\
&\rightarrow StableProjection\\
&\rightarrow VisualWorld\\
&\rightarrow GovernedAction\\
&\rightarrow NewWorld\\
&\rightarrow IndependentVerification.
\end{aligned}
} S o f tw a r e S p a ce t im e → C r oss S t r u c t u r a l O b ser v a t i o n → E v i d e n ce → M e m or y → A tt e n t i o n → A c t i v e C o g ni t i o n → S t ab l e P r o j ec t i o n → V i s u a l W or l d → G o v er n e d A c t i o n → N e w W or l d → I n d e p e n d e n t V er i f i c a t i o n . 226. 雙向世界關係
PNCW 目前可以寫成：
S ⇄ perceive/project C ⇄ present/act V \boxed{
\mathfrak S
\overset{\text{perceive/project}}{\rightleftarrows}
\mathfrak C
\overset{\text{present/act}}{\rightleftarrows}
V
} S ⇄ perceive/project C ⇄ present/act V 但任何 write-side arrow 都必須經 authority / verification。
227. Closed Loop 不等於 Autonomous Authority
有閉環：
Closed Loop ≠ Unbounded Autonomy . \boxed{
\text{Closed Loop}
\neq
\text{Unbounded Autonomy}.
} Closed Loop = Unbounded Autonomy . 228. Autonomy Must Be Typed
autonomy 至少應相對：
target；
scope；
capability；
risk；
duration；
budget；
revocation。
229. Authority Lease
可以：
L = ( s c o p e , e x p i r y , r e v o c a t i o n , r e n e w a l ) . \boxed{
L
=
(
scope,
expiry,
revocation,
renewal
).
} L = ( sco p e , e x p i r y , r e v oc a t i o n , r e n e w a l ) . 230. Lease Expiry
到期：
A u t h o r i t y → R e s t r i c t e d M o d e . \boxed{
Authority
\rightarrow
RestrictedMode.
} A u t h or i t y → R es t r i c t e d M o d e . 231. Local Autonomy / Global Authority Non-Collapse
L o c a l A u t o n o m y ≠ G l o b a l A u t h o r i t y . \boxed{
LocalAutonomy
\neq
GlobalAuthority.
} L oc a l A u t o n o m y = Gl o ba l A u t h or i t y . 232. PNCW Paper 08 最終母命題
本文提出：
A projection-native computational world is complete only when observation, memory, attention, cognition, projection, proposal, authority, actuation and verification remain separately typed yet composable in one closed loop. \boxed{
\begin{aligned}
&\text{A projection-native computational world is complete}\\
&\text{only when observation, memory, attention, cognition,}\\
&\text{projection, proposal, authority, actuation and verification}\\
&\text{remain separately typed yet composable in one closed loop.}
\end{aligned}
} A projection-native computational world is complete only when observation, memory, attention, cognition, projection, proposal, authority, actuation and verification remain separately typed yet composable in one closed loop. 233. 系列位置
P 00 : Projection-Native World Foundations P 01 : Visibility / Atomic Reveal P 02 : Virtual Context Projection P 03 : Stable High-D Projection Carrier P 04 : Visual Computational Canvas P 05 : Global Compute / Local Materialization P 06 : Non-Sequential AI Output Architecture P 07 : Projection-Native Software Spacetime P 08 : Projection-Native Perception–Action Loop \boxed{
\begin{aligned}
P00 &: \text{Projection-Native World Foundations}\\
P01 &: \text{Visibility / Atomic Reveal}\\
P02 &: \text{Virtual Context Projection}\\
P03 &: \text{Stable High-D Projection Carrier}\\
P04 &: \text{Visual Computational Canvas}\\
P05 &: \text{Global Compute / Local Materialization}\\
P06 &: \text{Non-Sequential AI Output Architecture}\\
P07 &: \text{Projection-Native Software Spacetime}\\
P08 &: \text{Projection-Native Perception–Action Loop}
\end{aligned}
} P 00 P 01 P 02 P 03 P 04 P 05 P 06 P 07 P 08 : Projection-Native World Foundations : Visibility / Atomic Reveal : Virtual Context Projection : Stable High-D Projection Carrier : Visual Computational Canvas : Global Compute / Local Materialization : Non-Sequential AI Output Architecture : Projection-Native Software Spacetime : Projection-Native Perception–Action Loop 234. 下一步
Paper 00–08 完成後，下一份文件不再新增理論主線。
應正式進入：
PNCW Runtime Technical Whitepaper v0.1 它需要將：
PNCW；
GCM；
CSPMF；
APR；
ACR；
SPET；
HDSRC；
MRMIC/NVCL；
PHOSPHOR Spacetime；
HDUS Virtual Actuation；
轉成具體 modules、schemas、APIs、state machines、adapters、conformance profiles、MVP vertical slice 與 benchmark harness。
235. 結論
PNCW 最初只是從一個非常直觀的不滿開始：
AI 明明在高維 representation 中運作，為什麼人類還必須一個 token、一段、一條 sequence 慢慢等？
Paper 00–06 的答案是：
High-Dimensional State ⇏ Sequentialized Observation . \boxed{
\text{High-Dimensional State}
\not\Rightarrow
\text{Sequentialized Observation}.
} High-Dimensional State ⇒ Sequentialized Observation . Paper 07 再指出：
被投影的來源甚至不只是高維 state，而是：
Multi-Temporal + Causal + Branched + Historical Software Spacetime . \boxed{
\text{Multi-Temporal}
+
\text{Causal}
+
\text{Branched}
+
\text{Historical Software Spacetime}.
} Multi-Temporal + Causal + Branched + Historical Software Spacetime . 本文最後補上：
world 不只需要被看見；它還要被持續感知、記住、選擇性注意、投入適量認知、被投影給 observer，必要時提出行動，再經 evidence readiness、authority 與 provider boundary 實際作用，最後重新由世界本身產生新 evidence 來驗證。
因此完整 PNCW 不再是一條：
W o r l d → O u t p u t . World
\rightarrow
Output. W or l d → O u tp u t . 而是：
W o r l d → O b s e r v a t i o n → E v i d e n c e → M e m o r y → A t t e n t i o n → C o g n i t i o n → P r o j e c t i o n → V i s u a l W o r l d → P r o p o s a l → R e a d i n e s s → A u t h o r i t y → A c t u a t i o n → N e w O b s e r v a t i o n → I n d e p e n d e n t V e r i f i c a t i o n → W o r l d ′ . \boxed{
\begin{aligned}
World
&\rightarrow
Observation
\rightarrow
Evidence
\rightarrow
Memory
\rightarrow
Attention
\rightarrow
Cognition
\\
&\rightarrow
Projection
\rightarrow
VisualWorld
\rightarrow
Proposal
\rightarrow
Readiness
\rightarrow
Authority
\rightarrow
Actuation
\\
&\rightarrow
NewObservation
\rightarrow
IndependentVerification
\rightarrow
World'.
\end{aligned}
} W or l d → O b ser v a t i o n → E v i d e n ce → M e m or y → A tt e n t i o n → C o g ni t i o n → P r o j ec t i o n → V i s u a l W or l d → P r o p os a l → R e a d in ess → A u t h or i t y → A c t u a t i o n → N e w O b ser v a t i o n → I n d e p e n d e n t V er i f i c a t i o n → W or l d ′ . 其中每一個箭頭都必須保留自己的 typed boundary。
所以：
O b s e r v e d ≠ B e l i e v e d ≠ A u t h o r i z e d ≠ E x e c u t e d ≠ V e r i f i e d . \boxed{
Observed
\neq
Believed
\neq
Authorized
\neq
Executed
\neq
Verified.
} O b ser v e d = B e l i e v e d = A u t h or i z e d = E x ec u t e d = V er i f i e d . 這個區分不是保守附註，而是整個 closed-loop AI system 能否被調試、治理、驗證與安全擴張的必要條件。
本文因此把 PNCW 的最終方向收斂為：
Projection-Native Perception–Cognition–Computation–Actuation Loop . \boxed{
\text{Projection-Native Perception–Cognition–Computation–Actuation Loop}.
} Projection-Native Perception–Cognition–Computation–Actuation Loop . 而它的操作原則可以濃縮為：
O b s e r v e c o n t i n u o u s l y , R e m e m b e r s t r u c t u r a l l y , A t t e n d s e l e c t i v e l y , R e a s o n p r o p o r t i o n a l l y , P r o j e c t a c c o r d i n g t o o b s e r v e r a n d t a s k , D e l e g a t e n a r r o w l y , A c t u n d e r a u t h o r i t y , V e r i f y i n d e p e n d e n t l y . \boxed{
\begin{aligned}
&Observe\ continuously,\\
&Remember\ structurally,\\
&Attend\ selectively,\\
&Reason\ proportionally,\\
&Project\ according\ to\ observer\ and\ task,\\
&Delegate\ narrowly,\\
&Act\ under\ authority,\\
&Verify\ independently.
\end{aligned}
} O b ser v e co n t in u o u s l y , R e m e mb er s t r u c t u r a l l y , A tt e n d se l ec t i v e l y , R e a so n p r o p or t i o na l l y , P r o j ec t a ccor d in g t o o b ser v er an d t a s k , D e l e g a t e na r r o w l y , A c t u n d er a u t h or i t y , V er i f y in d e p e n d e n tl y . 至此，PNCW Paper 00–08 已形成完整理論閉環。
下一步應停止增加抽象核心，正式進入 PNCW Runtime Technical Whitepaper v0.1 與第一個 Vertical Slice MVP。
內部理論與工程血統
本文主要承接：
PNCW Paper 00–07；
Cross-Structural Perceptual Memory Series Paper 01–05；
CSPMF Runtime v0.1.0a1–a9 / M0–M8；
APR perceptual-need / task-aware routing / action-readiness lineage；
ACR Phase 11 Context Compression；
ACR Phase 12 PAGL / ActiveCognitiveDomain integration；
Software Spacetime Theory Series；
PHOSPHOR Spacetime Architecture；
PHOSPHOR Spacetime MVP；
HDUS Virtual Actuation Plane；
GCM planning / allocation；
SPET stable projection；
HDSRC projected-native carrier；
MRMIC/NVCL recursive visual computational world。
本文保留所有來源中的成熟度與 claim boundary：
CSPMF M0–M8 已有 executable reference runtime evidence，但不宣稱 universal superiority；
ACR Phase 11 已有 validated reference-preserving compaction，Phase 12 ActiveCognitiveDomain 為 candidate implementation milestone，不等於完整 Phase 12 release；
APR readiness 只處理 evidence preconditions，不取得 actuation authority；
PHOSPHOR / HVAP 是 provider-neutral governed actuation architecture，不宣稱現代 OS 已等於未來 HyperSoul；
provider receipt 不能替代 post-action independent world observation；
PNCW 尚未完成全系統 end-to-end vertical integration。