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May 14, 20260 citationsOpen Access

Dynamic Signature Gauge Theory: Unification of Mass, Color, and Confinement in a Hybrid 6D Spacetime

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MHMike Hamilton

Key Points

  • The aim is to unify mass, color confinement, and gravitational behaviors within a dynamic 6D spacetime framework.
  • Introduced a dynamic signature spacetime manifold with a 6D bulk encompassing three spatial and three temporal dimensions.
  • Utilized curved-space vielbeins and a 6D Weyl-Dirac equation to describe particle behaviors.
  • Derive theoretical predictions for phenomena like gravitational waves and neutron lifetime based on geometric principles.
  • Predicted an 8.7 kHz gravitational wave signature from Supermassive Black Hole accretion with significant implications for astrophysics.
  • Resolved the neutron lifetime anomaly mathematically and derived the topological requirement for three fermion generations.
  • Provided geometric solutions that address the Strong Nuclear Force and explain features of Quantum Chromodynamics.

Abstract

Standard models of quantum field theory and general relativity operate under the assumptionof a static, globally uniform spacetime signature. This geometric rigidity produces irreconcilablesingularities, the cosmological hierarchy problem, and the unexplained phenomenologicalbehaviors of non-perturbative Quantum Chromodynamics (QCD). To resolve these paradoxesvia a fundamental extension of spacetime symmetry, this paper proposes a Dynamic SignatureSpacetime Manifold encompassing a strictly symmetric 6D bulk (three spatial, three temporal).I establish that the macroscopic metric signature dynamically pivots based on energetic state,allowing massless particles to natively inhabit a distributed 3t+1s geometry, while massive objectsare synchronized to a 3s+1t geometry. By formally redefining the Strong Nuclear Force asa temporal synchronization tether operating within a C3 fiber bundle, this framework providesexact geometric solutions for the Yang-Mills Mass Gap, color confinement, Quark-Gluon Plasmafluidity, and resolves the Proton Spin Crisis via orthogonal temporal phase space conservation.The kinematics of these confined states are governed by an extended 6D Weyl-Dirac equationutilizing curved-space vielbeins and chiral symmetry breaking via a discrete Wilson lattice. Byidentifying these Wilson operator ghost modes as Dark Matter, the framework natively derivesthe 5:1 cosmological mass ratio via bulk vacuum projection operators, propagating macroscopicgravity via the Kerr-Schild null vector, and predicts an 8.7 kHz High-Frequency GravitationalWave (HFGW) signature from Supermassive Black Hole accretion. Furthermore, the frameworkexplains the missing kinetic energy in failed supernovae via Electroweak Symmetry Restorationand the topological rotation of the 6D mass-shell Casimir invariant. By formally deriving theMIT Bag Constant via Israel junction conditions, and framing invariant isometric lattice strainas the exact self-energy derivative for geometric wavefunction renormalization (Z-factor) acrossenvironmental boundary constraints, I mathematically resolve the 9.86-second neutron lifetimeanomaly and derive the exact topological requirement for three fermion generations, nativelyguaranteeing macroscopic chiral anomaly cancellation.

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Cite This Study

Mike Hamilton (2026) studied this question.

synapsesocial.com/papers/6a0567e9a550a87e60a2030ehttps://doi.org/10.5281/zenodo.20130475
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