Spin-1/2 as Topological Holonomy of the 23-Channel Vacuum Network

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Authors: ALFREDO LUIS ACOSTA PADILLA
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Abstract

We derive the spin-1/2 property of fermions from the intrinsic topology of the 23-channel vacuum network (𝒱₂₃). The vacuum emerges from the cubic polynomial x³ - x - 1 = 0 via discriminant Δ = -23, generating dodecahedral symmetry (A₅). The 19 transverse torsional modes form a vector bundle over S² with SU(2) structure group. The dodecahedral deficit angle δ₀ = 10.305° produces nontrivial curvature in the torsion connection, yielding holonomy U(2π) = -I for a 360° rotation. Consequently, the wavefunction changes sign under 360° rotation and requires 720° to return to its original state. This explains neutron interferometry results (Rauch et al. 1975) and provides geometric origin for the Pauli exclusion principle without ad hoc quantum postulates.

Fields of Study & Subjects

Relativity and Gravitational Theory Advanced Mathematical Theories and Applications Noncommutative and Quantum Gravity Theories

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
17 February 2026
Language
EN