Research-Stack/6-Documentation/docs/underverse_zero_layer_2026-05-10.md
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# Underverse Zero Layer
Status: `ADMIT_EXPLICIT_ACCOUNTING_LAYER`
Claim boundary: this document makes the neutral closure layer explicit. It does
not claim a physical mirror universe, anti-baryonic observation, negative mass,
genus-3 theorem, cosmology fit, compression gain, or hardware readiness.
## Definition
The zero layer is the neutral accounting boundary between observable accounting
and Underverse/complement accounting.
```text
O_visible = measured or promoted visible-side ledger
U_under = hidden, failed, inverse, complement, or residual ledger
U_sink = typed sink, loss, annihilation, or sidecar ledger
U0 closes iff O_visible + U_under + U_sink = 0
```
The point is to stop the model from silently assuming balance. If the terms do
not recompute to zero, the zero-layer claim fails and the residual must be
routed to a typed Underverse lane.
## Genus-3 Zero-Charge Assumption
The model may choose a genus-3 chart, but zero charge is not implied by the
chart. It must be declared and receipted:
```text
chart = genus3
genus = 3
net_charge = 0
replay_receipt_present = true
```
The Lean fixture encodes this as:
```text
observableCharge + underverseCharge + sinkCharge = 0
```
and admits the genus-3 event only when replay evidence is present.
## Lanes
| Lane | Terminal | Use |
|---|---|---|
| `U0_CLOSURE` | `ADMIT_U0_CLOSURE` | Observable, Underverse, and sink terms replay to exact neutral closure. |
| `U0_HOLD_MISSING_RECEIPT` | `HOLD_U0_REPLAY` | Terms appear balanced, but replay evidence is missing. |
| `U0_REJECT_NONZERO_CHARGE` | `REJECT_U0_NONZERO` | Claimed zero event recomputes to nonzero charge. |
| `U0_GENUS3_ZERO_CHARGE` | `ADMIT_GENUS3_ZERO_CHARGE` | Genus-3 chart declares and receipts zero net charge explicitly. |
## Lean Surface
```text
0-Core-Formalism/lean/Semantics/Semantics/Core/UnderverseZeroLayer.lean
```
The minimal fixtures are:
```text
genus3BalancedFixture -> ADMIT genus-3 zero-charge event
missingReplayFixture -> HOLD because replay receipt is missing
nonzeroChargeFixture -> REJECT because net charge is nonzero
```
## Non-Claims
- `U0` is not a hidden physical layer.
- `U0` is not a free variable for unexplained effects.
- `U0` does not prove genus-3 topology.
- `U0` does not prove a mirror universe.
- `U0` does not prove anti-baryonic matter.
- `U0` does not promote cosmology, compression, or hardware claims.