Kahan, Dennis (2024) Explanatory Depth: The Integration of Relativity, Quantum Theory and Cosmology. [Preprint]
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Abstract
Foundational tensions between General Relativity-Quantum Gravity and Special Relativity-Quantum Mechanics and unresolved cosmological issues remain significant barriers to achieving explanatory depth in theoretical models. Without ad hoc assumptions, fine-tuning, or perturbative techniques, this analysis evaluates the explanatory depth of an integrated ontological and dynamic model that addresses these issues based on a single set of uniform laws across scales.
The explanatory framework, built on a fully relativistic, discrete 4D spacetime coupled to an ontic, high-dimensional counterpart, integrates the physical laws of General and Special Relativity with quantum phenomenon. It reconciles quantum effects, such as entanglement, nonlocality, quantum collapse, and instantaneity within relativistic constraints. It also explains cosmological gravitational challenges, including singularities, regularization, background independence, gravity's relational, local spacetime curvature, and the black hole paradox.
The framework provides a novel perspective on cosmology and cosmogony, explaining the physical connection between the quantum collapse of 4D spacetime at Heat Death and its instantaneous re-emergence at t = 0. The pre-existing intrinsic energy density of the discrete substructures that form spacetime and its high-dimensional counterpart is identified as the source of the cosmological constant (Λ). Additionally, the model examines quantum path irreversibility and the arrow of time through the dynamics of quantum state evolution and instantaneous collapse.
Mathematically, the analysis is supported by a set of universal physical laws, including discrete Maxwell, Dirac, and Klein-Gordon equations, a modified Regge Calculus for discrete spacetime, discrete Einstein Field Equations for a curved, discrete spacetime, and laws governing quantum state evolution and collapse.
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Explanatory Depth and the Physical Integration of SR and QM. (deposited 12 Nov 2024 13:18)
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Explanatory Depth and the Physical Integration of Special Relativity and Quantum Mechanics. (deposited 27 Nov 2024 13:18)
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Explanatory Depth: The Integration of Relativity, Quantum Theory and Cosmology. (deposited 29 Jan 2025 14:06)
- Explanatory Depth: The Integration of Relativity, Quantum Theory and Cosmology. (deposited 31 Jan 2025 17:02) [Currently Displayed]
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Explanatory Depth: The Integration of Relativity, Quantum Theory and Cosmology. (deposited 29 Jan 2025 14:06)
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Explanatory Depth and the Physical Integration of Special Relativity and Quantum Mechanics. (deposited 27 Nov 2024 13:18)
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