Datasets:

PureOne
/

luminous-hypercontinuum-foundation-v3

# Status and completeness — v3.0.0

## Delivered scope

Standalone manuscript: **85 PDF pages**, 25 main chapters and five appendices, with editable source. Main text includes 14 theorems, 13 propositions, three lemmas, two corollaries, and 31 explicit proof environments. These counts include standard supporting mathematics, not only candidate-new results.

Implementation, exact certificates, seeded verification, a trained small-network experiment, saved weights, figures, reproduction commands, proof/novelty ledgers, and source provenance are included.

## Percentages with explicit denominators

| Item | Result | Meaning |
|---|---:|---|
| Listed release artifact categories | 100% delivered | Manuscript, source, proofs, code, evidence, experiment, figures, documentation, provenance |
| Exact finite checks | 20/20 = 100% passed | Symbolic/rational identities only |
| Seeded numerical cases | 1,692/1,692 = 100% passed | Finite floating-point cases in fourteen groups |
| Unit tests | 67/67 = 100% passed | Software tests, with overlap in underlying formulas |
| Inherited verification groups | 12/12 = 100% passed | Separate rerun, not a new contribution |
| Physical hardware experiments | 0 completed | No hardware validation |
| Independent external reviews | 0 completed | No independent correctness or priority endorsement |
| General-AI / LLM intelligence studies | 0 completed | Small frozen-feature transport only |
| Whole-manuscript proof-assistant coverage | 0% | No Lean/Coq formalization |

No numerical percentage is assigned to global novelty, ultimate importance, or the probability that every proof is correct. Such percentages would not be supported by this evidence.

## Strongest established-in-the-manuscript claims

The exact noncommutative determinant-budget convexification; target-capacity and budget regimes; the complete two-dimensional noncommuting example; Cartesian tensor and direct-sum envelope laws; universal future-memory sufficiency and quantified loss; and exact ellipsoid recovery under stated priors.

The proofs are complete arguments as presented, but remain subject to expert review. Executed tests corroborate selected implications and implementations; they do not replace review.

## Not established

Worldwide priority; a replacement for all mathematics; new physical law or observed post-quantum states; state-of-the-art AI performance; general intelligence amplification; hardware energy or speed gains; superiority over real bit-quantization systems.

	# Status and completeness — v3.0.0

	## Delivered scope

	Standalone manuscript: 85 PDF pages, 25 main chapters and five appendices, with editable source. Main text includes 14 theorems, 13 propositions, three lemmas, two corollaries, and 31 explicit proof environments. These counts include standard supporting mathematics, not only candidate-new results.

	Implementation, exact certificates, seeded verification, a trained small-network experiment, saved weights, figures, reproduction commands, proof/novelty ledgers, and source provenance are included.

	## Percentages with explicit denominators

	\| Item \| Result \| Meaning \|
	\|---\|---:\|---\|
	\| Listed release artifact categories \| 100% delivered \| Manuscript, source, proofs, code, evidence, experiment, figures, documentation, provenance \|
	\| Exact finite checks \| 20/20 = 100% passed \| Symbolic/rational identities only \|
	\| Seeded numerical cases \| 1,692/1,692 = 100% passed \| Finite floating-point cases in fourteen groups \|
	\| Unit tests \| 67/67 = 100% passed \| Software tests, with overlap in underlying formulas \|
	\| Inherited verification groups \| 12/12 = 100% passed \| Separate rerun, not a new contribution \|
	\| Physical hardware experiments \| 0 completed \| No hardware validation \|
	\| Independent external reviews \| 0 completed \| No independent correctness or priority endorsement \|
	\| General-AI / LLM intelligence studies \| 0 completed \| Small frozen-feature transport only \|
	\| Whole-manuscript proof-assistant coverage \| 0% \| No Lean/Coq formalization \|

	No numerical percentage is assigned to global novelty, ultimate importance, or the probability that every proof is correct. Such percentages would not be supported by this evidence.

	## Strongest established-in-the-manuscript claims

	The exact noncommutative determinant-budget convexification; target-capacity and budget regimes; the complete two-dimensional noncommuting example; Cartesian tensor and direct-sum envelope laws; universal future-memory sufficiency and quantified loss; and exact ellipsoid recovery under stated priors.

	The proofs are complete arguments as presented, but remain subject to expert review. Executed tests corroborate selected implications and implementations; they do not replace review.

	## Not established

	Worldwide priority; a replacement for all mathematics; new physical law or observed post-quantum states; state-of-the-art AI performance; general intelligence amplification; hardware energy or speed gains; superiority over real bit-quantization systems.