Scalar Resonance and Gauge Phenomenology on the Z3 ⊗Q3 Error-Correcting Vacuum

We derive the defining phenomenological signatures of the Standard Model scalar sector natively from the discrete graph topology of a Z3 ⊗Q3 error-correcting vacuum. Treating constituent mass as information-theoretic friction (the query rate of the local QEC coin operator), we derive the linear Yukawa coupling to fermions (Mf ∝mf ) directly from this QEC query rate, and then show that — given the linear baseline — the quadratic coupling to massive vector bosons (MV ∝m2 V ) is an inescapable algebraic consequence of bipartite tensor orthogonality rather than an independent parametric input. Extending to second- order virtual processes, we demonstrate that the anomalous destructive interference and magnitude ratio of the H →γγ loop is derived structurally from the lattice coordination number and the bipartite parity of the hypercube. By applying the discrete Feshbach re- solvent over the framework’s invalid subspace, we prove the lattice naturally produces the non-linear, mass-dependent dynamic tracking required to model continuous kinematic loop integrals.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-05-17
DOI
https://doi.org/10.5281/zenodo.20262144
Primary Topic
Quantum and Classical Electrodynamics
Type
preprint
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preprint

Scalar Resonance and Gauge Phenomenology on the Z3 ⊗Q3 Error-Correcting Vacuum

David Elliman
Zenodo (CERN European Organization for Nuclear Research)
Quantum and Classical Electrodynamics
preprint

Scalar Resonance and Gauge Phenomenology on the Z3 ⊗Q3 Error-Correcting Vacuum

David Elliman
preprint en

Abstract

We derive the defining phenomenological signatures of the Standard Model scalar sector natively from the discrete graph topology of a Z3 ⊗Q3 error-correcting vacuum. Treating constituent mass as information-theoretic friction (the query rate of the local QEC coin operator), we derive the linear Yukawa coupling to fermions (Mf ∝mf ) directly from this QEC query rate, and then show that — given the linear baseline — the quadratic coupling to massive vector bosons (MV ∝m2 V ) is an inescapable algebraic consequence of bipartite tensor orthogonality rather than an independent parametric input. Extending to second- order virtual processes, we demonstrate that the anomalous destructive interference and magnitude ratio of the H →γγ loop is derived structurally from the lattice coordination number and the bipartite parity of the hypercube. By applying the discrete Feshbach re- solvent over the framework’s invalid subspace, we prove the lattice naturally produces the non-linear, mass-dependent dynamic tracking required to model continuous kinematic loop integrals.

Zenodo (CERN European Organization for Nuclear Research)
Quantum and Classical Electrodynamics
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