Results 51 to 60 of about 1,304 (144)

Matrix Quantum Mechanics and Entanglement Entropy: A Review. [PDF]

Entropy (Basel)
Fliss JR, Frenkel A.
europepmc   +1 more source

GaoZheng G-Framework and GaoZheng G-Algebra: Applied Mathematics Volume I — Law-Space Geometry, GRL, Quantum Computing, and Superconductivity

This first applied-mathematics applications volume (Applied Mathematics Volume I) is structurally independent from the pure mathematics volume but conceptually based on the same integrated construction. The pure mathematics volume develops a law-space geometry and a principal-bundle-based generalized noncommutative Lie algebra that treat "laws ...
openaire   +3 more sources

Hypercomplex neural networks: Exploring quaternion, octonion, and beyond in deep learning. [PDF]

MethodsX
Devadas RM, Hiremani V, Preethi, T S, R S, Gujjar P.   +5 more
europepmc   +1 more source

Rigorous Path Integral Algebraic Closure: A Complete Mathematical Framework for Quantum Mechanical Path Integrals with Explicit Combinatorial Structure and Comprehensive Error Analysis

This paper establishes a complete and mathematically rigorous framework for path integrals in quantum mechanics through the novel concept of path integral algebraic closure. We provide comprehensive definitions, explicit combinatorial constructions, and exhaustive error analysis for path integral computations, with particular attention to measure ...
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Area Law for the Entanglement Entropy of Free Fermions in Nonrandom Ergodic Field. [PDF]

Entropy (Basel)
Pastur L, Shamis M.
europepmc   +1 more source

Structure of bicentralizer algebras and inclusions of type III factors (Mathematical aspects of quantum fields and related topics)

Structure of bicentralizer algebras and inclusions of type III factors (Mathematical aspects of quantum fields and related topics)
We investigate the structure of the relative bicentralizer algebra B(N ⊂ M, φ) for inclusions of von Neumann algebras with normal expectation where N is a type Ill₁ subfactor and φ ∈ N* is a faithful state. We first construct a canonical flow β[φ] : R*₊ ↷ B(N C M, ip) on the relative bicentralizer algebra and we show that the W*-dynamical system (B(N ⊂
openaire  

The Omnidimensional Quantum-Cosmological Theory — Version 2 — Mathematical Foundations Revised Rigorous Operator-Algebraic Reformulation with Worked Examples, Two-Loop Renormalization, and Falsifiability Audit

This is a substantially revised and mathematically tightened reformulation of the Omnidimen-sional Quantum-Cosmological Theory (OQCT v1.0, April 2025). We retain the central1,3proposal — a 10-dimensional non-commutative operator manifold M10× C 6 × HQ withQC = Ran observer-coupling sector C 6 on which an SU(3) × U(1) gauge structure acts — but ...
openaire   +2 more sources

Compatibility of Drinfeld presentations for split affine Kac-Moody quantum symmetric pairs. [PDF]

Lett Math Phys
Li JR, Przeździecki T.
europepmc   +1 more source

Arrow of Time in Quantum Mechanics and Set Theory. [PDF]

Entropy (Basel)
Król J.
europepmc   +1 more source

MATHEMATICAL PHYSICS AND ALGEBRA: QUANTUM THEORY AND STRUCTURAL MODELS

BISWAS, Ritabrata, ZHOLDYBAYULY, Zhumayev Asset, PAL, Satyajit, MBAH, M. A., IMAM, A.T, CHIBUEZE, Eze, Grover, Deepak   +6 more
openaire   +2 more sources