# VWDC-04 — Active Branch Design, Dependence-Aware World Experimentation, and Evidence Value

## Core branch actions

```text
REPLICATE
CHANGE_BACKEND
PAIRED_CF
ROBUSTNESS
FALSIFY
TRANSPORT_VALIDATE
STOP
```

## Same-family replication value

$$
\boxed{
V_n-V_{n+1}
=
\frac{
\sigma^2(1-\rho)
}{
n(n+1)
}.
}
$$

## Backend diversification premium

$$
\boxed{
\frac{
2n\sigma^2(
\gamma_s-\gamma_b
)
}{
(n+1)^2
}.
}
$$

## Paired counterfactual

$$
\boxed{
\operatorname{Var}(Y_1-Y_0)
=
2\sigma^2(1-\rho).
}
$$

## Reality transport floor

$$
\boxed{
D_n
\to
\delta_{\mathrm{trans}}
}
$$

under internal-only branching as world-estimation error vanishes.

## Canonical rule

Create the next world for a declared evidence purpose, not to maximize raw branch count.

## Package contents

- canonical paper;
- literature audit;
- roadmap;
- VWDC-05 handoff;
- theorem index;
- tests;
- validation;
- checksums.