What question did this study set out to answer?

The research aims to document predictions from a unique framework with defined kill conditions for flavour-sector observables.

June 15, 2026Open Access

Registered falsifiable predictions from a single-coupling counting framework: the waxion (263.74 MeV), the atmospheric mixing angle, and reproduction code

Key Points

The research aims to document predictions from a unique framework with defined kill conditions for flavour-sector observables.
Utilized a phenomenological framework for predictions with zero free parameters.
Registered constants including sin^2(theta_W) and m_tau/m_e with specific uncertainties.
Deposited scripts and predictions in a public database with reproducibility guarantees.
Predicted a 263.74 MeV waxion with specific photon decay characteristics; testable by Belle II.
Identified sin^2(theta_23) values with specific conditions on n; n=7 is invalid.
Projected sin^2(theta_12) to achieve 0.307297 at final JUNO precision.

Abstract

This record registers, with explicit kill conditions, the predictions of a phenomenological framework in which flavour-sector observables take the closed form X = X0 + n·alpha (mu), with zero continuous free parameters. The point of the deposit is to place the numbers, the dates, and the reproduction code on the public record before the relevant experimental analyses appear. Five already-matched constants (zero fitted parameters; PDG 2024 / CODATA): sin² (thetaW) at 0. 003 sigma, sin² (theta₁2) at 0. 023 sigma, alphaₛ at 0. 04 sigma, sin² (theta₁3) at 0. 15 sigma, and mₜau/mₑ at 0. 79 sigma. A full look-elsewhere accounting gives a joint chance probability of roughly 2-3 x 10^-5. Three forward predictions with kill conditions: (A) A 263. 74 MeV pseudoscalar (the "waxion"), gₐgamma-gamma = 2. 019 x 10^-4 GeV^-1, c-tau = 53 microns, decaying to two photons. Currently unexcluded; testable by the Belle II full-luminosity three-photon analysis. (B) sin² (theta₂3) = 1/2 + n·alpha with n in 3, 6, 8 only; n = 7 is forbidden. (C) sin² (theta₁2) = 0. 307297 at JUNO final precision. Every quoted number is reproducible to 30 digits from the included scripts. Fifteen further derivation scripts are deposited in encrypted form with their SHA-256 digests committed in HASHES. txt. See REGISTEREDPREDICTIONS. md for the full self-contained note.

Registered falsifiable predictions from a single-coupling counting framework: the waxion (263.74 MeV), the atmospheric mixing angle, and reproduction code

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