Quantum Foam Boundary

Status: HOLD_FLUCTUATION_BOUNDARY

Claim boundary: quantum foam is modeled here as a fluctuation/noise boundary around U0. It does not promote a physical quantum-gravity theory, spacetime engineering, Planck-scale access, cosmology fit, compression result, or hardware claim.

Role In The Stack

U0 remains exact accounting closure:

U0 closes iff O_visible + U_under + U_sink = 0

Quantum foam is the messy boundary case where the recomputed net charge is near zero but not exact, or where a measurement floor/jitter band is being invoked. It must never silently replace U0.

exact U0:
  net_charge = 0
  replay_receipt_present = true

foam HOLD:
  abs(net_charge) <= declared_jitter_bound
  replay_receipt_present may be false

reject:
  abs(net_charge) > declared_jitter_bound

Folded-Point Refinement

The model now distinguishes an observer-frame 0D point from an empty point:

0D in observer frame != zero internal structure

Quantum foam can therefore be held as an apparent-0D boundary while a separate folded-point receipt declares whether it carries higher-dimensional interior structure.

apparent 0D point
  + internalDim witness
  + neutral closure
  + replay receipt
  + torsion potential
  -> folded-point candidate

This prevents two opposite errors:

foam is nothing          -- too destructive
foam proves everything   -- too permissive

The finite Lean surface for this refinement is:

0-Core-Formalism/lean/Semantics/Semantics/Core/FoldedPointManifold.lean

The stronger loopback rule is also there: after apparent 0D resolution loss, a receipted folded 16D interior may be treated as a permeable return surface only when permeabilityDeclared = true.

Lanes

Lane	Terminal	Use
`U_QFOAM_BOUNDARY`	`HOLD_QFOAM_BOUNDARY`	Net charge is inside a declared jitter or measurement band, but exact `U0` replay is absent.
`U_QFOAM_SCALE_UNDECLARED`	`HOLD_QFOAM_SCALE`	Foam language was used without a scale band, tolerance, or measurement floor.
`U_QFOAM_REJECT_MACRO_PROMOTION`	`REJECT_QFOAM_MACRO_PROMOTION`	Planck/sub-resolution fluctuation was promoted to a macro claim without renormalized evidence.

Lean Surface

0-Core-Formalism/lean/Semantics/Semantics/Core/QuantumFoamBoundary.lean

Fixtures:

exactZeroFixture   -> exactClosure
foamJitterFixture  -> holdFoam
outOfBandFixture   -> rejectClaim

Working Rule

Quantum foam may explain why a local zero claim is noisy. It may not admit the zero claim. Admission still requires exact U0 replay, or a separate declared renormalization/measurement model with its own receipt.

Non-Claims

No claim of direct Planck-scale measurement.
No claim of quantum-gravity proof.
No claim of spacetime engineering.
No claim that foam creates usable energy or information.
No cosmology, compression, or hardware promotion.

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