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Critique and debate

Serious objections deserve serious answers.

A theory claiming 43 observables with no parameter deserves objections. More precisely, PT claims zero continuously fitted parameters, with an SCU dimensional convention and explicit discrete structural commitments. This page collects the strongest ones and answers them directly. None is dismissed as misunderstanding: if the critique holds, the theory must be revised — and we already had the chance (P20 downgraded in April 2026).

This is not a defence brief. It is a public stress-test space. If you have an objection not listed here, write it on the Contact page or open a GitHub issue. Good critiques will be added with their reply.

10 strong objections

What I’ve been told

Methodology severity high

"You must be hiding a fit somewhere."

The code is public (MIT) on GitHub: Igrekess/PT_CHEMISTRY, PT_PHYSICS, PT_MATHEMATICS. Anyone can audit. Any fitted coefficient would appear in commits or config files. None has been found — and 9 fragilities have been identified and closed (R46, R47).

Methodology severity high

"You patch each observable after it fails."

Possible in principle. In practice, the corrections (F(2), echo VP, spiral feedback) are constrained by the cascade architecture: they cannot be added arbitrarily. The existence of the [PRED-cand] tag and public downgrades (P20 dark energy, April 2026) shows we do not silently cover failed derivations.

Mathematical severity medium

""The sieve" cannot be the root of the universe."

PT does not claim the universe IS the sieve. It says that the stable structures readable on the sieve (T1, T5, holonomy) coincide with the stable structures observed physically, with no parameter. A pattern issue, not an ontological one. The three possible readings (realist, structuralist, instrumentalist) are spelled out in the "Limits" section.

Mathematical severity medium

"The uniqueness of μ* = 15 depends on the threshold γ_p > 1/2."

True, but the 1/2 threshold is not a free postulate: the symmetry s = 1/2 is derived in the sieve chain, then used as the activation threshold in the GFT/BA4 framework. The relevant critique is therefore the promotion from arithmetic threshold to physical activity criterion. Its robustness is still strong: any threshold in [0.43, 0.60] selects the same active sector {3, 5, 7}. The gap γ_7 - γ_11 ≈ 0.170 ensures structural stability without fine tuning. See T1 and T5.

Physics severity medium

"Why {3, 5, 7} and not {2, 3, 5} or {5, 7, 11}?"

Exhaustive search (T5): in the reduced information sector, no other finite prime subset closes both γ_p > 1/2 and μ = sum. {2,3,5} and {2,3,5,7} exist as regimes with p=2 included; after crystallisation, p=2 becomes binary infrastructure rather than an active prime of the physical sector. The {3,5,7} sector is then the reduced attractor. Permuting the active primes degrades the 43 observables by a factor 106 on average (ablation test).

Physics severity medium

"The F(2) dressing looks like an ad hoc candle."

F(2) = 0.758 272 782 6 is a closed-form 99.96 % rational formula derived in monograph chapter 10 (R51, "Binary Leakage Dressing"). Its value is fully constrained by the channel structure. It contains no free parameter — it is computable from μ* and γ_p without choice.

Cosmology severity high

"P20 (dark energy) was downgraded. How many more downgrades to expect?"

Exactly the right critical reflex. P20 was downgraded in April 2026 because the formula lacked a canonical Lagrangian derivation. If DUNE/JUNO contradict P4–P7, those would be major downgrades. The theory publishes its failures as well as its successes — that is what distinguishes it from an ad-hoc theory.

Cosmology severity high

"You predict everything, hence nothing (multiverse, etc.)."

PT predicts the opposite of the multiverse: a unique universe, no degree of freedom, no landscape. P11 forbids SUSY < 100 TeV. P10 forbids the QCD axion. P14 forbids WIMPs. P12 fixes N_gen = 3 exactly. The profile is restrictive, not permissive.

Status severity high

"Why is this theory not published in a classical journal?"

A timing choice. The monograph (913 p FR + 883 p EN) is in open preprint. The peer-reviewed route is planned chapter by chapter, not in bulk, which takes time. The site explicitly acknowledges [PREPRINT] status and invites criticism. See About page.

Status severity high

"How can I test one of your results myself?"

Three ways: (1) run the scripts in browser via Pyodide (page /scripts); (2) clone the GitHub repo and run pytest; (3) take a specific observable from the /observables table, follow the link to the monograph chapter, and verify the algebra. None requires heavy installation.

For critics

How to formulate an effective objection

For an objection to gain traction, it must point to one of:

Computation error. A derivation where PT yields a wrong value, scriptably checkable.
Hidden parameter. A coefficient appearing in a formula without arithmetic justification tracing back to $\{s, \mu^*\}$.
Internal contradiction. Two PT statements incompatible with one another or with a cited classical theorem.
Ablation test. A structural change that does not degrade the 43 observables (it should, if the assignment is forced).
Experimental measurement contradicting a Tier-1 prediction at >5σ.

Philosophical ("it cannot be that") or rhetorical ("you claim to explain everything") objections are less useful because they pinpoint nothing technically falsifiable. PT prefers precise technical objections, even when they hurt.

Falsification criteria

What would refute PT?

A. Direct experimental falsification

· 0νββ detection (P1 broken) → Majorana neutrinos
· Inverted hierarchy at >5σ (P2 broken)
· δ_CP(PMNS) outside [170°, 224°] at 5σ (P4 broken)
· QCD axion detection (P10 broken)
· SUSY < 100 TeV (P11 broken)
· Fourth fermion generation (P12 broken)
· Proton decay (P13 broken)
· WIMP detection (P14 broken)

B. Theoretical falsification

· Another prime sequence satisfying P1-P4 with reproduced Standard Model
· An SM observable inexpressible in PM algebra
· BA5 logically independent of BA0-BA4
· A proof that $\gamma_p > 1/2$ can be violated without internal contradiction
· A new classical theorem invalidating T0, T1, T5 or T6

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