Information-Copying Cosmology XI: Fermions, Chirality, and Higgs Mechanism from Simplicial Defects

We extend the Information-Copying Cosmology (ICC) framework to include fermionic matterand mass generation, building directly on the emergent gauge fields derived in Part X. A discreteDirac operator is constructed on oriented 4-simplices, where fermions reside on dual cells andpropagate via orientation-dependent couplings across tetrahedral faces.Weshowthatnontrivial orientation structures generate topologically protected chiral zero modes,providing a discrete realization of an index invariant. A scalar field hσ defined by orientationmismatch between neighboring 4-simplices is identified with an emergent Higgs field, whose effectivepotential V (h) = λ(h2 −v2)2 arises from the entropy of defect configurations.Domain walls in h localize chiral fermions and induce Yukawa couplings, giving fermion massesmf ∼ y∆ proportional to the orientation discontinuity ∆. In the continuum limit, the theoryreduces to Dirac fermions coupled to gauge fields and a scalar field with symmetry-breaking potential.This establishes a unified geometric origin of fermions, chirality, and the Higgs mechanism fromdiscrete information-copying dynamics.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-04-26
DOI
https://doi.org/10.5281/zenodo.19790795
Primary Topic
Quantum and Classical Electrodynamics
Type
article
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article

Information-Copying Cosmology XI: Fermions, Chirality, and Higgs Mechanism from Simplicial Defects

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

Information-Copying Cosmology XI: Fermions, Chirality, and Higgs Mechanism from Simplicial Defects

Alik Gimranov
article en

Abstract

We extend the Information-Copying Cosmology (ICC) framework to include fermionic matterand mass generation, building directly on the emergent gauge fields derived in Part X. A discreteDirac operator is constructed on oriented 4-simplices, where fermions reside on dual cells andpropagate via orientation-dependent couplings across tetrahedral faces.Weshowthatnontrivial orientation structures generate topologically protected chiral zero modes,providing a discrete realization of an index invariant. A scalar field hσ defined by orientationmismatch between neighboring 4-simplices is identified with an emergent Higgs field, whose effectivepotential V (h) = λ(h2 −v2)2 arises from the entropy of defect configurations.Domain walls in h localize chiral fermions and induce Yukawa couplings, giving fermion massesmf ∼ y∆ proportional to the orientation discontinuity ∆. In the continuum limit, the theoryreduces to Dirac fermions coupled to gauge fields and a scalar field with symmetry-breaking potential.This establishes a unified geometric origin of fermions, chirality, and the Higgs mechanism fromdiscrete information-copying dynamics.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 5%
Quantum and Classical Electrodynamics
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Information-Copying Cosmology XI: Fermions, Chirality, and Higgs Mechanism from Simplicial Defects — Alik Gimranov · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS