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| Format: | Recurso digital |
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Zenodo
2026
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| Online Access: | https://doi.org/10.5281/zenodo.19103626 |
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Table of Contents:
- <p>This paper derives the gauge structure of the Standard Model—SU(3) × SU(2) × U(1)—from first principles within the C-field framework of constraint geometry.</p> <p>The C-field is defined as a Planck-scale granular substrate where each cell encodes one unit of entropy. Excitation modes of this field correspond to quantum states in a qubit lattice. The central result is that the symmetry group of each interaction emerges directly from the entanglement structure of these qubits:</p> <p>- Single-qubit phase symmetry → U(1) → Electromagnetism <br>- Two-qubit Bell entanglement → SU(2) → Weak force <br>- Three-qubit GHZ entanglement → SU(3) → Strong force </p> <p>The Higgs field is identified as the vacuum expectation value of the C-field (C₀), whose non-zero background breaks SU(2) × U(1) to U(1)EM. Force strength hierarchy, confinement, asymptotic freedom, and chirality emerge from entropy constraints and entanglement depth within the substrate.</p> <p>This work completes the derivation chain of the broader framework, showing that the full architecture of known physics—gravity, quantum mechanics, dark matter, and gauge interactions—can be generated from a single entropy-based field:</p> <p>R = I(S + C) − L</p>