2.4 KiB
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.
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:
chart = genus3
genus = 3
net_charge = 0
replay_receipt_present = true
The Lean fixture encodes this as:
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
0-Core-Formalism/lean/Semantics/Semantics/Core/UnderverseZeroLayer.lean
The minimal fixtures are:
genus3BalancedFixture -> ADMIT genus-3 zero-charge event
missingReplayFixture -> HOLD because replay receipt is missing
nonzeroChargeFixture -> REJECT because net charge is nonzero
Non-Claims
U0is not a hidden physical layer.U0is not a free variable for unexplained effects.U0does not prove genus-3 topology.U0does not prove a mirror universe.U0does not prove anti-baryonic matter.U0does not promote cosmology, compression, or hardware claims.