Kedem-Cycle Ω: A Geometric Theory of Fundamental Interactions Based on the Hyperbolic 3-Manifold L8a21
Abstract
A geometric theory of fundamental interactions is presented, based on the hyperbolic 3-manifold L8a21 from the publicly available SnapPy catalog. The theory contains no free parameters: all fundamental constants are derived from the invariants of the manifold (volume, CS-invariant, covering numbers). Key results include: (1) discovery of a new class of spectral invariants (p-invariants) distinguishing 100% of topological mutants among hyperbolic 3-manifolds; (2) prediction of seven dark matter particles in the 28–50 GeV range with a unique signature — the ψ₃/ψ₄ doublet with 31 MeV splitting; (3) derivation of the fine-structure constant (137.036), Hubble constant (67.34 km/s/Mpc), dark matter density (0.2599), dark energy density (0.6894) and other fundamental constants; (4) analytical derivation of the 3D turbulence law with exponent expressed through fractal dimension. The theory is fully falsifiable: the predicted particles can be detected or ruled out at the LHC within the next 3–10 years. Version 3.0: corrected the mutant pairs table in Appendix INV, updated the turbulence verification results in Appendix AE, and revised Appendix BR (Born rule hypothesis status updated based on numerical verification).
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BibTeX
@article{бельмасова2026kedemcycle,
title = {{Kedem-Cycle Ω: A Geometric Theory of Fundamental Interactions Based on the Hyperbolic 3-Manifold L8a21}},
author = {ИРИНА БЕЛЬМАСОВА},
journal = {Zenodo (CERN European Organization for Nuclear Research)},
year = {2026},
month = may,
doi = {10.5281/zenodo.20364677},
url = {https://doi.org/10.5281/zenodo.20364677},
note = {CC BY},
}
RIS
TY - JOUR
TI - Kedem-Cycle Ω: A Geometric Theory of Fundamental Interactions Based on the Hyperbolic 3-Manifold L8a21
AU - ИРИНА БЕЛЬМАСОВА
PY - 2026
DA - 2026/05/24
JO - Zenodo (CERN European Organization for Nuclear Research)
DO - 10.5281/zenodo.20364677
UR - https://doi.org/10.5281/zenodo.20364677
AB - A geometric theory of fundamental interactions is presented, based on the hyperbolic 3-manifold L8a21 from the publicly available SnapPy catalog. The theory contains no free parameters: all fundamental constants are derived from the invariants of the manifold (volume, CS-invariant, covering numbers). Key results include: (1) discovery of a new class of spectral invariants (p-invariants) distinguishing 100% of topological mutants among hyperbolic 3-manifolds; (2) prediction of seven dark matter particles in the 28–50 GeV range with a unique signature — the ψ₃/ψ₄ doublet with 31 MeV splitting; (3) derivation of the fine-structure constant (137.036), Hubble constant (67.34 km/s/Mpc), dark matter density (0.2599), dark energy density (0.6894) and other fundamental constants; (4) analytical derivation of the 3D turbulence law with exponent expressed through fractal dimension. The theory is fully falsifiable: the predicted particles can be detected or ruled out at the LHC within the next 3–10 years. Version 3.0: corrected the mutant pairs table in Appendix INV, updated the turbulence verification results in Appendix AE, and revised Appendix BR (Born rule hypothesis status updated based on numerical verification).
ER -