IndisputableMonolith.Gravity.SevenGaps.DiracAlgebraContinuumBindingAudit
Audit shell for the Dirac-algebra continuum binding in the gravity seven-gaps stack. It sits on the Wave C2 R4 repair that identifies the freestanding sampled dynamic bracket sum with the genuine lattice Hamiltonian bracket after periodic wrap, and records the ledger terminal for the continuum limit on 1-periodic C¹ data. Gravity workers cite it when checking that the continuum-binding claims are wired and status-tagged. No independent proof content: the module re-exports and audits the binding layer.
claimAudit module for the continuum binding of the Dirac algebra on the lattice: after periodic wrap, the sampled dynamic bracket sum agrees with the lattice bracket of the discrete Hamiltonian vector fields $\mathrm{HamDyn}_N$, and the ledger records the continuum-limit terminal for $1$-periodic $C^1$ data.
background
In the Recognition Science gravity program, the seven-gaps track repairs discrete-to-continuum bridges for the Dirac algebra on a lattice. The upstream binding module (Wave C2 R4, steps 3–4) treats the periodic wrap, then identifies a freestanding Riemann-shape object (the sampled dynamic bracket sum) with the genuine lattice bracket of the discrete Hamiltonian dynamics $\mathrm{HamDyn}_N$.
Once that identification is in place, the same upstream layer lands the ledger terminal dirac_algebra_continuum_limit for $1$-periodic $C^1$ data. The present module is the audit companion: it imports that binding layer and exposes a status-checked view for the continuum-binding claims, without introducing new geometric definitions.
proof idea
This is an audit module, not a proof module. It imports the Dirac-algebra continuum binding layer and re-exports or status-tags the binding and terminal results (sampled dynamic bracket sum versus lattice $\mathrm{HamDyn}_N$ bracket after periodic wrap; continuum-limit ledger terminal for $1$-periodic $C^1$ data). No independent tactic or term argument lives here.
why it matters in Recognition Science
The continuum binding is a repair step in the gravity seven-gaps program: without matching the freestanding sampled bracket to the genuine lattice Hamiltonian bracket, the Dirac-algebra continuum limit cannot be ledgered. This audit module makes that repair inspectable and status-tagged for downstream gravity work. No further used-by edges are recorded on the page; its role is gatekeeping and visibility for the Wave C2 R4 binding terminal rather than feeding a named parent theorem directly.
scope and limits
- Does not prove the continuum limit; only audits the upstream binding module.
- Does not treat non-periodic or non-$C^1$ data.
- Does not derive mass formulae, $\alpha$, or forcing-chain steps T0–T8.
- Does not introduce new bracket identities beyond what the binding layer already states.