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.

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

  • 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.