Structural Admissibility

A framework for evaluating whether theoretical claims have earned the right to be evaluated as candidate solutions, applied to a survey of theories of everything (and to established physics) component-by-component. Ontology-first: the framework catalogues what kinds of theoretical work exist before describing how to test any specific work. The audit follows from the ontology.

Author disclosure

This site is run by Daniel Tan Fook Hao, the author of Wave Relativity and the author of the structural admissibility framework. Wave Relativity is evaluated in the survey as one row in the same table as every other theory, under the same template, on the same standard. The framework was developed in the course of writing Wave Relativity, to clarify what makes a derivation closed at the layer it claims to close at. It is offered here in the same spirit: structural verdicts, the verdict-shape exposed for the reader to verify against the actual work.

The structural verdict is independent of sociological position. A theory aligned with the mainstream that fails admissibility fails. A theory presented by an independent scholar that passes admissibility passes. The framework is offered as a tool for reading derivation work carefully, not as a credential check.

What admissibility asks

Not "is this true?" but "is this what it claims to be?" A piece of work claims a kind. It presents itself as fundamental unification, as effective phenomenology, as mathematical exploration. The framework catches misrepresentation of kind: work that occupies one bucket honestly while claiming another for institutional reasons.

A claim that fails admissibility isn't wrong. It isn't yet a candidate in the bucket it claims. The same content honestly presented at a lower bucket may be perfectly admissible.

The four buckets

The site indexes theories by which bucket the theory's structure supports, where the four public-facing labels link to the framework's exact technical definitions:

Public label	Framework name	Short definition
Mathematical exploration	Mathematical physics exploration	Conditional claim, evaluated as mathematics
Effective model	Effective model	Operational primitives within stated regime, no derivation claim
Theory proposal	Mathematical physics theory-construction	Unconditional claim to describe reality, derivation in progress
Physical theory	Physics proper	Derived from named anchors, recovers established physics at boundaries

Pure mathematics is out of scope here (no claim about reality, not a candidate for theory-of-everything evaluation, but a load-bearing foundation that Physical theories draw on when needed). The four buckets above are not a hierarchy of worth. A great mathematical exploration is great; a great effective model is great; a great Physical theory is great. The error the framework catches is misrepresentation of bucket, the claim of a higher bucket than the work's structure supports.

Theories aren't monolithic

A nominal theory typically contains components occupying different buckets in different regimes. The Dirac equation is Physical theory in flat space for free fermions, effective in the Standard Model matter sector with Yukawa couplings, derived-effective in condensed-matter analogs. The unit of admissibility evaluation is the component-in-regime, not the theory.

Under this decomposition, QM and the Standard Model are Effective models with embedded Physical-theory components, not the monolithic "established physics" the category-collapse view treats them as. The derived nuclei (Dirac equation, spin-statistics, gauge invariance, anomaly cancellation) do the load-bearing predictive work; the operational scaffolding (Born rule, commutators, fitted parameters) makes the frameworks usable. Effective models that work this well are extraordinary intellectual achievements; the decomposition clarifies what kind of achievement they are.

Closure: three modes

A derivation chain closes by reaching ground (terminating at named anchors), by honest deferral (handing off to a layer the work doesn't reach, with the handoff named), or by dissolution (deriving that the question presupposed structure that doesn't exist past a regime, so the question stops applying). All three count.

The audit: three lenses on the bucket claim

The legs are not three separate tests. They are three lenses on one question: is the bucket claim supported by the work's actual structure? Each lens illuminates a different way the claim could fail.

Leg A. Are the primitives at the right level for the bucket claimed?

Leg B1. Does the work operate at the level its claimed bucket implies?

Leg B2. Is the work correctly positioned relative to established physics?

The legs are conjunctive at the component level. Failure on one leg fails that component at the claimed bucket. The component is then admissible at a lower bucket if the work is honest about being there, or inadmissible at any bucket if no honest placement is available.

Where to read next

• Framework. The full ontology document: five categories, components-in-regimes decomposition, three closure modes, three legs of audit. The canonical technical source.
• Methodology. "The Question Before Correctness." The narrative essay version, motivation-first, why the framework matters now.
• QM+GR instantiation. The framework specialised to the quantum-gravity regime: what the established frameworks actually are, what quantum gravity actually has to be, how the audit runs in the QG regime.
• Theory survey. The list of theories with bucket-claimed / bucket-supported / closure-mode verdicts.

What the framework is not

Not a consensus test. High-status programmes can fail; eccentric ones can pass. Not a complexity test. Density is not closure. Not a falsification test. Admissibility asks whether the work has the structure to be predicting at all rather than fitting. Not a mathematical-consistency test. Internal consistency does not earn anchoring to reality. Not a verdict-producer. Admissibility is the entry condition for evaluation, not the prize.