Institute of Theoretical Physics

Quantum Thermodynamics at Geometric and Physical Boundaries: From Thermal Casimir Stresses to Modular Horizon Entropy

We formulate a unified relativistic framework for quantum thermodynamics at physical, causal, and entangling boundaries. In standard flat Minkowski space, the quantum vacuum represents an inert zero-entropy state. However, the introduction of a boundary restricts spectral modes,...

Thermodynamics of Continuous Quantum Measurement in Cavity Optomechanics: Photon-Phonon Heat Fluxes and Quantum-Limited Engine Efficiency

Modeling continuous quantum measurement as an explicit thermodynamic process is essential for establishing the operational limits of nanoscale quantum heat engines. In this paper, we develop a comprehensive stochastic thermodynamic framework for a cavity optomechanical system sub...

Exact Measurement-Dependence Cost across the Noisy GHZ–Mermin Threshold

We determine the exact measurement-dependence cost of faithful local deterministic models reproducing the full outcome table on the even-parity GHZ–Mermin setting set for Pauli X/Y measurements. For every integer n ≥ 3 and isotropic visibility 0 ≤ v ≤ 1, let R = 2^floor((n−1)/2)....

Exact Measurement-Dependence Cost across the Noisy GHZ–Mermin Threshold

We determine the exact measurement-dependence cost of faithful local deterministic models reproducing the full outcome table on the even-parity GHZ–Mermin setting set for Pauli X/Y measurements. For every integer n ≥ 3 and isotropic visibility 0 ≤ v ≤ 1, let R = 2^floor((n−1)/2)....

Classification of magnetism and altermagnetism in quasicrystals

Altermagnetism (AM), an unconventional magnetic phase characterized by zero net magnetism protected by symmetry(s) other than parity-time ( \({\mathcal{P}}{\mathcal{T}}\) ) and a resulting spin-split band, has been studied exclusively in crystalline materials. Here, we extend the...

The Boukarroum Geometric Invariant: Emergence of Light, Gravity, and Spacetime from Conservation of Helical Energy Loops

This work presents a unified geometric framework in which all physical phenomena—light, matter, gravity, spacetime curvature, and cosmic evolution—emerge from a single invariant: the conservation of helical energy loops N generated by a fundamental energy point. The fundamental e...

The Boukarroum Geometric Invariant: Emergence of Light, Gravity, and Spacetime from Conservation of Helical Energy Loops

This work presents a unified geometric framework in which all physical phenomena—light, matter, gravity, spacetime curvature, and cosmic evolution—emerge from a single invariant: the conservation of helical energy loops N generated by a fundamental energy point. The fundamental e...

Proof of the Completeness and Necessity of the Five Axioms

Abstract: This document is a standalone meta‑foundation proof preprint for the Global‑Lattice Unified‑Field Theory. Based on the finalized five‑axiom V1.8 framework, it conducts reductio‑ad‑absurdum and exclusive‑screening demonstrations to prove conditional necessity, internal l...

Proof of the Completeness and Necessity of the Five Axioms

Abstract: This document is a standalone meta‑foundation proof preprint for the Global‑Lattice Unified‑Field Theory. Based on the finalized five‑axiom V1.8 framework, it conducts reductio‑ad‑absurdum and exclusive‑screening demonstrations to prove conditional necessity, internal l...

Sym-EFT: Accelerating Effective Field Theory of Large Scale Structure with Symbolic Regression

Abstract We present an emulator suite for the one- and two-loop cold dark matter power spectrum from the Effective Field Theory of Large Scale Structures (EFTofLSS). Specifically, we emulate separately the various contributions to the one- and two-loop parts of the power spectrum...

Holographic Metric Impedance and the Resolving Power of Discrete Trigonometry: Analytical Solutions to Evolving Dark Energy, Cluster Mass Bias, Alpha Dipoles, Nanohertz Gravitational Waves, and Degenerate Stellar Collapse

This paper presents a rigorous comparative analysis between continuous Euclidean geometry and Discrete Holographic Trigonometry, demonstrating that persistent observational discrepancies across modern astrophysics arise from continuous spatial oversampling artifacts. Operating wi...

Holographic Metric Impedance and the Resolving Power of Discrete Trigonometry: Analytical Solutions to Evolving Dark Energy, Cluster Mass Bias, Alpha Dipoles, Nanohertz Gravitational Waves, and Degenerate Stellar Collapse

This paper presents a rigorous comparative analysis between continuous Euclidean geometry and Discrete Holographic Trigonometry, demonstrating that persistent observational discrepancies across modern astrophysics arise from continuous spatial oversampling artifacts. Operating wi...

Geometric Scale Invariance Across Cosmological Structure Growth, Electroweak Mixing, and Hadronic Mass Scales: A Rigorous Comparative Analysis of Continuous Euclidean vs. Discrete Holographic Trigonometry

This paper addresses several persistent observational tensions across contemporary cosmology, electroweak mixing, and hadronic physics.We demonstrate that discrepancies in cosmic structure growth, flavor mixing unitarity, and fundamental particle mass scalesare not instrumental f...

Geometric Scale Invariance Across Cosmological Structure Growth, Electroweak Mixing, and Hadronic Mass Scales: A Rigorous Comparative Analysis of Continuous Euclidean vs. Discrete Holographic Trigonometry

This paper addresses several persistent observational tensions across contemporary cosmology, electroweak mixing, and hadronic physics.We demonstrate that discrepancies in cosmic structure growth, flavor mixing unitarity, and fundamental particle mass scalesare not instrumental f...

Forward-KL Learning Curves of Maximum Likelihood Estimators Need Not Be Monotone

Let L_n be the expected forward Kullback–Leibler risk of the maximum-likelihood estimator based on n independent observations from a correctly specified model. We show that L_n need not be nonincreasing, even for a one-dimensional full, regular, minimal natural exponential family...

Forward-KL Learning Curves of Maximum Likelihood Estimators Need Not Be Monotone

Let L_n be the expected forward Kullback–Leibler risk of the maximum-likelihood estimator based on n independent observations from a correctly specified model. We show that L_n need not be nonincreasing, even for a one-dimensional full, regular, minimal natural exponential family...

Charge transport, not interaction range, bounds the Lieb-Schultz-Mattis twist cost

Geometric interaction range can overestimate the energy cost of a Lieb-Schultz-Mattis twist. We prove that, under the stated assumptions, every sufficiently large admitted periodic ring with L>3R has an explicit O(1/L) upper bound on its full spectral gap. The bound is governed b...

Dual General Position in Lexicographic Products with a Complete First Factor

Let G be a nonempty finite simple graph. For every m ≥ 2, we prove gp_d(K_m ∘ G) = m q_2(G), where q_2(G) is the maximum size of a set A ⊆ V(G) for which both G[A] and G[V(G) ∖ A] are complete, and set q_2(G) = 0 if no such set exists. This resolves a previously posed problem con...

On the simplicity of de Sitter correlators

A bstract Motivated by recent evidence that equal-time correlators can be simpler than the corresponding wavefunction coefficients, we study de Sitter correlators in conformally coupled ϕ 3 theory directly. By inverting the momentum-space dressing rules, we derive a time integral...

Dual General Position in Lexicographic Products with a Complete First Factor

Let G be a nonempty finite simple graph. For every m ≥ 2, we prove gp_d(K_m ∘ G) = m q_2(G), where q_2(G) is the maximum size of a set A ⊆ V(G) for which both G[A] and G[V(G) ∖ A] are complete, with value zero if no such set exists. This answers the published complete-first-facto...