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Zenodo
2025
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| Online Access: | https://doi.org/10.5281/zenodo.18048289 |
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Table of Contents:
- <p dir="ltr"><strong>Abstract</strong></p> <p dir="ltr">Building on the Spectral Vacuum Mechanism (SVM) established in Parts I–XI, this work demonstrates that the structural content of the electroweak sector — the SU(2)L × U(1)Y gauge symmetry, left-handed chiral fermions, electroweak symmetry breaking, and intergenerational flavor mixing — can emerge from purely spectral, topological, and geometric properties of a multichannel vacuum Hessian operator, without postulating fundamental gauge or scalar fields.</p> <p dir="ltr">The extended multichannel vacuum incorporates weak-isospin doublet channels with gate-induced asymmetries that topologically distinguish left- and right-chiral projection modes. The vacuum parameter space carries a Spinᶜ structure with non-vanishing second Stiefel–Whitney class w₂ ≠ 0. Combined with quantized Berry holonomies across gate thresholds, this enforces chiral selectivity at the spectral level: only left-handed doublet modes actively couple to emergent SU(2)L vector excitations, while right-handed singlets remain spectrally decoupled, yielding a purely V–A interaction structure without ad hoc projectors.</p> <p dir="ltr">Electroweak symmetry breaking appears as a gate-triggered localization–delocalization phase transition within the spectral confinement class established in Parts V–VII. Would-be Goldstone modes are absorbed into massive vector excitations identified with W± and Z bosons, with the mass scale controlled by a single emergent parameter fixed by the Fermi constant. No fundamental Higgs scalar is required; the observed scalar resonance consistent with the ~125 GeV Higgs boson is interpreted as a composite, dilaton-like multichannel bound state at the level of spectral identification.</p> <p dir="ltr">Family replication arises from the topological multiplicity of vacuum wall minima in extended channel space, yielding three hierarchical spectral basins. Flavor mixing originates from overlaps of localized spectral modes. The resulting CKM and PMNS parameters fall within predicted spectral ranges whose central values are consistent with current experimental data, without parameter tuning beyond pre-declared gate thresholds.</p> <p dir="ltr">This work completes the spectral emergence of the structural content of the Standard Model within SVM, establishing the physical vacuum as a universal dynamic medium unifying confinement, chirality, and flavor at the spectral and topological level.</p> <p dir="ltr"><strong>Keywords</strong>: Spectral Vacuum Mechanism, Electroweak Symmetry, Chiral Fermions, Flavor Mixing, CKM Matrix, PMNS Matrix, Berry Holonomy, Stiefel-Whitney Class, Vacuum Hessian, Standard Model, Emergent Gauge Symmetry, Electroweak Symmetry Breaking</p> <p dir="ltr"> </p> <p dir="ltr"> </p> <p dir="ltr"><strong>Other works by the author on the topic:</strong></p> <p dir="ltr">M.Nemirovsky, Physical Vacuum – Part I Spectral vacuum mechanism (SVM) (lepton masses), Published December 13, 2025 | Version v1, <a href="https://zenodo.org/records/17931024">https://zenodo.org/records/17931024</a> </p> <p dir="ltr">M.Nemirovsky, Physical Vacuum – Part II Spectral vacuum mechanism (SVM) (quark sector), Published December 13, 2025 | Version v1, <a href="https://zenodo.org/records/17923554">https://zenodo.org/records/17923554</a></p> <p dir="ltr">M.Nemirovsky, Physical Vacuum – Part III Composite (hadronic) excitations in the Spectral Vacuum Mechanism (SVM), Published December 13, 2025 | Version v1, <a href="https://zenodo.org/records/17923690">https://zenodo.org/records/17923690</a> </p> <p dir="ltr">M.Nemirovsky, .Physical Vacuum – Part IV Spectral vacuum mechanism (SVM) Hadronic sector in the Spectral Vacuum Mechanism: baryons and mesons from the universal gate phase, Published December 15, 2025 | Version v1, <a href="https://zenodo.org/records/17942901">https://zenodo.org/records/17942901</a> </p> <p dir="ltr">M.Nemirovsky, . Physical Vacuum – Part V Spectral Vacuum Mechanism: A Constructive Approach to Confinement-Like Spectral Properties, Published December 15, 2025 | Version v1, <a href="https://zenodo.org/records/17956380">https://zenodo.org/records/17956380</a> </p> <p dir="ltr"> M.Nemirovsky, Physical Vacuum – Part VI Spectral Vacuum Mechanism on 2D Lattice Constructive Existence, Uniform Mass Gap, and Dimensional Robustness,Published December 17, 2025 | Version v1, <a href="https://zenodo.org/records/17965775">https://zenodo.org/records/17965775</a> </p> <p dir="ltr">M.Nemirovsky, Physical Vacuum – Part VII Spectral Vacuum Mechanism on 3D Cubic Lattice (Theoretical Justification for Dimensional Robustness), Published December 17, 2025 | Version v1, <a href="https://zenodo.org/records/17969164">https://zenodo.org/records/17969164</a> </p> <p dir="ltr">M.Nemirovsky, . From Quantum Theory to Thermodynamic Applications Based on the Nemirovsky Bound, Published December 18, 2025 | Version v1, <a href="https://zenodo.org/records/17977864">https://zenodo.org/records/17977864</a> </p> <p dir="ltr">M.Nemirovsky, Explicit Spectral Bound on the Low-Energy Spectral Weight of Local Observables in Lattice Quantum Systems with a Constructive Spectral Gap (Nemirovsky Spectral Bound), Published December 19, 2025 | Version v1, <a href="https://zenodo.org/records/17988794">https://zenodo.org/records/17988794</a> </p> <p dir="ltr">M.Nemirovsky, Explicit Bounds on Relaxation Times and Liouvillian Spectral Structure in Weakly Dissipative Gapped Lattice Systems, Published December 20, 2025 | Version v1, <a href="https://zenodo.org/records/17998425">https://zenodo.org/records/17998425</a> </p> <p dir="ltr"><strong>M.Nemirovsky, Spectral Vacuum Mechanism: Part XI Emergent Spinor Structure, Fermionic Statistics, and Anomalous Magnetic Moments in the Spectral Vacuum Mechanism Spin, Spinᶜ Geometry, and Fermions, <a href="https://zenodo.org/records/18045407">https://zenodo.org/records/18045407</a></strong></p> <p> </p>