Neutrino mathematics · effective field theory

Unified Theory of Everything

Could the Universe’s many rules come from something deeper? This research program makes selected calculations available: neutrino kernels, proposed reductions of a quantum-loop seed, a conditional scalar continuum and a changing-mass toy model.

GitHub operator checkpoint · 1 October 2026

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Research status

An unfinished research program with limited mathematical and computational results. A complete theory of everything and an experimentally confirmed new law are not established.

The October 1 operator checkpoint is now included in the public repository after the research update was merged. The fixed source version supplies the operator results summarized below. A GitHub merge does not establish independent human peer review or experimental validation.

What the source materials report

Selected neutrino kernels

The package supplies an exact finite-pole tree expression, local moments, a remainder and known-node reconstruction. Masses and couplings remain inputs; unknown poles need additional information.

A corrected quantum-loop claim

One derivative seed has an evaluated off-shell ultraviolet polynomial. The earlier physical dimension-seven coefficient and all-odd extension remain withdrawn.

Local operators and interaction contacts

The October 1 checkpoint maps that polynomial to six local, electroweak-covariant dimension-seven monomials. Equations with interaction sources retain contacts that a free-field replacement misses. A correlated Yukawa and contact cancellation holds for arbitrary complex flavor coefficients under the declared change of variables; it does not establish physical running or cancellation of the full seed packet.

An explicit gauge-field-strength term leaves the gauge-free three-point restriction unchanged while affecting a four-point amplitude. The three-point result therefore cannot determine the full gauge completion, and the six monomials are a representative rather than a complete independent basis.

Conditional scalar results

The scalar continuum work gives a finite-moment criterion, nonanalytic low-energy behavior and a positive single-pole lower bound, under inherited spectral premises.

A changing-mass diagnostic

The toy model provides a positive weak-pulse occupation and solver comparisons. Its background is prescribed externally; it supplies neither a complete cosmic energy account nor a matter–antimatter asymmetry.

Assumptions and open questions

A complete independent operator basis, matching of additional gauge and multi-field amplitudes, reduction of the full sourced packet, physical running and finite thresholds remain unfinished. A complete source-to-observable susceptibility is also missing. Exact arithmetic and replay checks support the declared identities and toy models; they do not establish a new interaction, an observational prediction, experimental validation or independent human peer review.

Read the source materials

The links below identify the merged October 1 checkpoint at a fixed source commit so its claims and qualifications can be inspected together. Later private follow-up calculations are outside this public overview.

Archives and citation

DOI 10.5281/zenodo.22319172 identifies only the unchanged N00AK-r1 baseline published September 4, 2026. The October 1 GitHub edition contains later material. Cite this edition by commit ca88aed6 and its linked CITATION.cff metadata. The older DOI does not identify all later material.

Overview prepared from the merged October 1 source version; publication status checked on 2 October 2026. Consult the cited source version for full statements, qualifications and reuse terms. Author: Ricardo Maldonado.