# IPFC Core Series Papers 01–05 — Foundation Closure

**Date:** 2026-08-15  
**Status:** CORE FOUNDATION CLOSED

## Core sequence

1. Paper 01 — Identity–Phase Fiber Calculus
2. Paper 02 — Phase Semantics
3. Paper 03 — Phase Transition and Identity Bifurcation
4. Paper 04 — Carrier Identity in GPC
5. Paper 05 — Phase Module Calculus

## Core architecture

$$
\boxed{
\text{Identity Fiber}
\rightarrow
\text{Semantic / Domain Phase}
\rightarrow
\text{Transition / Lineage}
\rightarrow
\text{Interaction Identity Safety}
\rightarrow
\text{Module Composition}.
}
$$

## Current governance

- Phase Canon type: PH-0...PH-6
- IPFC identity role: IF-0...IF-4
- No type jump without a map.
- Holonomy requires transport.
- Identity transition requires lineage.
- Physical elevation requires realization.
- Cross-module claims require morphisms/contracts.
- Approximate composition requires defect accounting.
- Every module requires falsification conditions.

## Master artifacts

- `IPFC_Papers01-05_Master_Theorem_Registry_v1.0_2026-08-15.csv`
- `IPFC_Phase_Module_Canonical_Schema_v1.0_2026-08-15.csv`
- `IPFC_Phase_Module_Catalog_v1.0_2026-08-15.csv`

## Next tracks

The foundation interface is now closed. Further work should proceed through:

1. Formalization / Lean 4
2. Benchmarking
3. Domain modules
4. Identity-lineage applications such as AI fork / Theseus

Paper 06 is an application/specialization track, not required to reopen the Core interface.