Results 41 to 50 of about 1,304 (144)

Dark Matter as Emergent Spacetime Connection Inhomogeneity within Quantum Geometric Algebra Mathematical Derivations and Observational Verification

open access: yes
This paper introduces a transformative theoretical framework grounded in Quantum Geometric Algebra, which reinterprets dark matter as an emergent phenomenon arising from spacetime connection inhomogeneities within a quantum relational network. Rather than postulating new particles, we demonstrate that dark matter's gravitational effects naturally ...
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Mathematical Physics Algebraic Topology High Energy Physics — Theory Quantum Physics. Energy Hierarchy Factor in TVS23

open access: yes
We resolve the century-old atomic stability paradox without quantization postulates. The electron is a static topological knot of 24 nodes in the structured vacuum V₂₃, not an orbiting particle. The key result is an exact energy hierarchy derived from x³ − x − 1 = 0: the vacuum zero-point energy E_vac = αm_ec²/2 = 1864.47 eV exceeds the ionization ...
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Algebras, Representations and Quantum Mechanics(6) Approaches from mathematical science and quantum information, Chaos and Nonlinear Dynamics in Quantum-Mechanical and Macroscopic Systems)

open access: yesAlgebras, Representations and Quantum Mechanics(6) Approaches from mathematical science and quantum information, Chaos and Nonlinear Dynamics in Quantum-Mechanical and Macroscopic Systems)
可積分性という概念は古典力学では明確に定義されているが,量子力学における対応概念は不明瞭である.また,古典力学との対応を求めず,量子力学のハイゼンベルグ方程式を解くという目的に限定しても,作用角変数に匹敵するような強力かつ柔軟な方法論の構築が望ましい.本講演ではこれらの問題点を指摘し,解決の糸口を代数の表現論による多様体上の量子力学の定式化に探ってみた. この論文は国立情報学研究所の電子図書館事業により電子化されました。
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Mathematical Formalism of Context-Aware Deficit Algebra (CADA): Geometric Derivation of Quantum Anomalies via Vacuum Stress Saturation

open access: yes
The core axiom of this framework is that the vacuum has a finite structural capacity for energy density (derived from the Planck limit). Interactions are modeled not as linear superposition, but as non-linear saturation events using the rule: -phi (x) -phi -> P_max.
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The Category of Anyon Sectors for Non-Abelian Quantum Double Models. [PDF]

open access: yesCommun Math Phys
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