Geometric Monism: The Topological Fracture of the Dirac Spinor and the Continuum Mechanics of Pair Production
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2026
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| _version_ | 1866901763187015680 |
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| author | Steynberg, Andre Peter |
| author_facet | Steynberg, Andre Peter |
| contents | <p>In standard Quantum Electrodynamics (QED), pair production and annihilation are governed by abstract creation and annihilation operators acting on dimensionless point particles, and the Dirac equation’s 4-component spinor is interpreted mathematically, leading to non-physical interpretations of antimatter. This paper translates these phenomena into the macroscopic continuum mechanics of Geometric Monism. We demonstrate that pair production is the deterministic topological fracture of a 2π propagating transverse twist (a photon) into two opposing 4π standing waves. By mapping the kinematic threshold of this fracture against a nuclear geometric strain gradient (the Topological Anvil), we provide a topological demystification of the Dirac spinor, proving it maps exactly to two independent, mirror-symmetric fracture pathways, and revealing the γμ matrices as 5D rotational operators. Furthermore, we translate the Feynman-Stueckelberg ”time reversal” into geometric phase conjugation, providing a pure mechanical description of annihilation. Finally, we trace the conserved quantities of these events directly back to the absolute elastic limits of the 5D manifold, deriving the quantum of spin (ℏ) strictly from the Planck Stiffness.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19424073 |
| institution | Zenodo |
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| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Geometric Monism: The Topological Fracture of the Dirac Spinor and the Continuum Mechanics of Pair Production Steynberg, Andre Peter Geometric Monism; Pair Production; Dirac Spinor; Gamma Matrices; Annihilation; Antimatter; Planck Stiffness; Topological Anvil <p>In standard Quantum Electrodynamics (QED), pair production and annihilation are governed by abstract creation and annihilation operators acting on dimensionless point particles, and the Dirac equation’s 4-component spinor is interpreted mathematically, leading to non-physical interpretations of antimatter. This paper translates these phenomena into the macroscopic continuum mechanics of Geometric Monism. We demonstrate that pair production is the deterministic topological fracture of a 2π propagating transverse twist (a photon) into two opposing 4π standing waves. By mapping the kinematic threshold of this fracture against a nuclear geometric strain gradient (the Topological Anvil), we provide a topological demystification of the Dirac spinor, proving it maps exactly to two independent, mirror-symmetric fracture pathways, and revealing the γμ matrices as 5D rotational operators. Furthermore, we translate the Feynman-Stueckelberg ”time reversal” into geometric phase conjugation, providing a pure mechanical description of annihilation. Finally, we trace the conserved quantities of these events directly back to the absolute elastic limits of the 5D manifold, deriving the quantum of spin (ℏ) strictly from the Planck Stiffness.</p> |
| title | Geometric Monism: The Topological Fracture of the Dirac Spinor and the Continuum Mechanics of Pair Production |
| topic | Geometric Monism; Pair Production; Dirac Spinor; Gamma Matrices; Annihilation; Antimatter; Planck Stiffness; Topological Anvil |
| url | https://doi.org/10.5281/zenodo.19424073 |