# VWDC-01 — From Visual Reachability to Runnable World Reachability

## Canonical boundary

$$
\boxed{
\text{Visual State}
\neq
\text{Runnable World State}.
}
$$

## Core observation

$$
O_{\mathrm{vis}}:
\mathcal X_W
\to
\Omega_\Sigma.
$$

## Core inversion no-go

$$
L\circ O_{\mathrm{vis}}
=
\operatorname{Id}
$$

requires observer injectivity.

## Core dynamics criterion

A deterministic image-state dynamics exists iff:

$$
O(x)=O(x')
\Longrightarrow
O(D_a(x))=O(D_a(x')).
$$

## Core bridge reachability

$$
\mathcal R_{\mathrm{bridge}}
=
\mathcal R_{\mathrm{GVSS}}
\cap
\mathcal L_\kappa.
$$

## Core validity ladder

```text
render consistency
!= world validity
!= dynamics identification
!= reality evidence
```

## Package contents

- canonical paper;
- literature audit;
- GVSS↔WDC bridge map;
- VWDC roadmap;
- VWDC-02 handoff;
- theorem index;
- regression tests;
- validation;
- checksums.