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414 changes: 414 additions & 0 deletions frontiers/full_spectrum_enclosure_method_20261018/PROOF.md

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21 changes: 21 additions & 0 deletions frontiers/full_spectrum_enclosure_method_20261018/README.md
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# Full-spectrum finite-L enclosure method — exact corrected V2 source

This standalone source packet preserves the exact already published METHOD V2 and its actual complete scoped reviews. It adds no mathematical derivation, executed certificate, algorithm implementation, numerical value, graph promotion or scientific acceptance. PROOF.md is the unchanged32593-byte method SHA2568bdea4b42e9efd2d846cd1aa73691e8194fa26cd937ac02b79991334f88204f6, published at [Math193/6243041893](https://github.com/d6g8k5htny-coder/Math-/issues/193#issuecomment-6243041893). Historical author/pending/provenance wording inside frozen files remains dated source history.

The actual [A](reviews/REVIEW_A_V2.md), [B](reviews/REVIEW_B_V2.md) and [Root final V2 disposition](reviews/ROOT_V2_FINAL_DISPOSITION.md) are complete original reports published in [Math193/6243050857](https://github.com/d6g8k5htny-coder/Math-/issues/193#issuecomment-6243050857). They record scoped acceptance of an in-principle analytic enclosure method under its explicit effective-input and faithful outward-interval premises. Distinct agents share the provider/principal and are source-exposed; no new provider, organizational, blind or human independence credit is conferred. Root supplied correction direction/review relay as disclosed in its report. This wrapper is source composition, not another mathematical review.

V1's [full adverse Root review](history/ROOT_V1_ADVERSE_REVIEW.md) and [literal domain-finding comment](history/V1_DOMAIN_FINDING_NATIVE.md) remain separate, unchanged adverse evidence. The invalid all-real spectral-cutoff claim is not erased or retroactively passed. Exact V2 restricts M to positive integers and chooses an integer Gaussian integration radius R with rational boxes; all displayed formula blocks stayed unchanged in the recorded V1/V2 comparison. The matrix-norm radius R in M20 is a different variable and is not restricted to integers by that method-step correction.

## Literal scope and prerequisites

The target is the explicit algebraic full-spectrum collision expression C_alg(d,L), at fixed integer d>=2 and a fixed computable positive real L supplied with certified interval access. The original constant mode, physical frequencies2pi*m/L, full sphere area, He=0 raw free symmetric law and integrated common height are preserved. The method assumes faithful, convergent outward interval enclosures for all required elementary/special/algebraic operations. It is an in-principle terminating method; no enclosure or backend was executed here and no practical runtime bound is asserted.

M30 retains its source-specific uniform pin-covariance floor and same-field covariance/cross-covariance convergence premises. M31, an effective same-observable finite-lifetime remainder/window, is not proved by coefficient cubature. Coefficient/arithmetic tails do not control global barcode asymptotic error. Original113retained failures, sampler/law/arithmetic, persistence/count, confidence/power, finite-window and broad-project obligations remain separate.

The method's own dated source/review boundary does not itself identify C_alg with ordinary-H0 barcode intensity. The later, separate [finite-L/GAD alignment proof](../original_finite_l_gaussian_binding_20261017/PROOF.md) and [integrated review](../original_finite_l_gaussian_binding_20261017/REVIEW.md), already durable in Math476, provide a qualitative alternative identification under exact GAD/classical imports; they do not backfill ORIGINAL's historical G1–G4 arguments or supply an M31 rate. Their immutable current-source references are recorded in SOURCE_MAP.json. This packet changes neither those sources nor the existing mathematical graph/status.

## Source custody and later graph binding

[SOURCE_MAP.json](SOURCE_MAP.json) lists exact original native bodies/extract boundaries and all unchanged source/report identities. It deliberately excludes its own derived hash; an external publication map binds the complete payload without a self-hash cycle. An original absolute local-source locator remains inside the already published literal method; it is retained verbatim rather than silently redacted or represented as new metadata. Raw API wrappers, private workspace manifests, books, scripts, caches and archives are not part of this source payload.

A future eligible source publication can first commit these durable bodies, read back the actual commit/tree/blobs, then bind THAT real immutable source commit from a separate graph change. No future commit ID, actual graph GitCapture or publication approval is invented here. This local proposal supplies no branch, PR, CI, Ready, merge, runtime/Lean evidence, theorem-status promotion or source-owner transfer. Numerical protocol/M31, graph/gate, formal and integration owners retain their separate scopes.
209 changes: 209 additions & 0 deletions frontiers/full_spectrum_enclosure_method_20261018/SOURCE_MAP.json
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