Tootfinder

Products of displaced Laguerre-Gaussian beams
G. Mellado-Villase\~nor, B. M. Rodr\'iguez-Lara
https://arxiv.org/abs/2506.05662 https://

Products of displaced Laguerre-Gaussian beams
We present a framework for propagating products of displaced Laguerre-Gaussian beams under the free-space paraxial wave equation. Using an optical analogy to quantum coherent states, we express the product as a linear superposition of Laguerre-Gaussian beams, with complex coefficients that encode displacements and mode overlaps. Our formalism enables direct calculation of the net orbital angular momentum and reduces propagation to tracking the evolution of independent weighted modes. These comp…

This is such a perfect analogy.
My goto is "asbestos". Super useful invention which bit us in the ass afterwards.
https://xoxo.zone/@annika/114614639082253074

Moduli space of Conformal Field Theories and non-commutative Riemannian geometry
Yan Soibelman
https://arxiv.org/abs/2506.00896 https://

Moduli space of Conformal Field Theories and non-commutative Riemannian geometry
We discuss the analogy between collapsing Conformal Field Theories and measured Gromov-Hausdorff limit of Riemannian manifolds with non-negative Ricci curvature. Motivated by this analogy we propose the notion of non-commutative (``quantum") Riemannian d-geometry. We explain how this structure is related to Connes's spectral triples in the case d=1. In the Appendix based on the unpublished joint work with Maxim Kontsevich we discuss deformation theory of Quantum Field Theories as well as an app…

Understanding the Monty Hall Problem Through a Quantum Measurement Analogy
Mo Li
https://arxiv.org/abs/2506.00012 https://arxiv.org/p…

Understanding the Monty Hall Problem Through a Quantum Measurement Analogy
The Monty Hall problem is a classic probability puzzle known for its counterintuitive solution, revealing fundamental discrepancies between mathematical reasoning and human intuition. To bridge this gap, we introduce a novel explanatory framework inspired by quantum measurement theory. Specifically, we conceptualize the hosts' actions-opening doors to reveal non-prizes-as analogous to quantum measurements that cause asymmetric collapses of the probability distribution. This quantum-inspired int…

Axioms of Quantum Mechanics in light of Continuous Model Theory
Boris Zilber
#toXiv_bot_toot

Quantum light and radiation in Rindler spacetime: from uncertainty relations to the cosmological implications
Fujin Wang, Syed Masood, L. G. Wang
https://arxiv.org/abs/2506.02417 …

Quantum light and radiation in Rindler spacetime: from uncertainty relations to the cosmological implications
Based on an analogy between diffraction integral formalism of classical field propagation and Feynman path integral approach to quantum field theory, we develop a quantum model for light and radiation in Rindler spacetime. The framework helps to reveal acceleration-induced contributions to the traditional Heisenberg position-momentum uncertainty relation. A modified Planck energy density distribution of radiation is established and reveals equivalence between temperature and Rindler acceleratio…

Symmetries and conservation laws in discrete spacetime
Samuel Richard Totorica
https://arxiv.org/abs/2506.02119 https://arxiv.org/pdf…

Symmetries and conservation laws in discrete spacetime
Noether's theorem connects symmetries to invariants in continuous systems, however its extension to discrete systems has remained elusive. Recognizing the lowest-order finite difference as the foundation of local continuity, a viable method for obtaining discrete conservation laws is developed by working in exact analogy to the continuous Noether's theorem. A detailed application is given to electromagnetism, where energy-momentum conservation laws are rapidly obtained in highly generalized for…

Chaotic magnetization dynamics in magnetic Duffing oscillator
Ryo Tatsumi, Takahiro Chiba, Takashi Komine, Hiroaki Matsueda
https://arxiv.org/abs/2506.02762

Chaotic magnetization dynamics in magnetic Duffing oscillator
We propose a magnetic analogy of the Duffing oscillator--magnetic Duffing oscillator--which is characterized by a double-well magnetic potential of a ferromagnet with a uniaxial magnetic anisotropy. Based on the linear stability analysis of the Landau-Lifshitz-Gilbert equation, we show that an external magnetic field applied perpendicular to the magnetic anisotropy field creates an anharmonicity on the magnetic potential, generating homoclinic orbits in the phase space. By evaluating the Lyapun…

This https://arxiv.org/abs/2501.16423 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hepp…

Theory of neutrino slow flavor evolution. Part II. Space-time evolution of linear instabilities
Slow flavor evolution (defined as driven by neutrino masses and not necessarily ``slow'') is receiving fresh attention in the context of compact astrophysical environments. In Part~I of this series, we have studied the slow-mode dispersion relation following our recently developed analogy to plasma waves. The concept of resonance between flavor waves in the linear regime and propagating neutrinos is the defining feature of this approach. It is best motivated for weak instabilities, which probab…

Nonequilibrium transport through the Hubbard dimer
Yaroslav Pavlyukh, Riku Tuovinen
https://arxiv.org/abs/2506.02198 https://arxiv.or…

Nonequilibrium transport through the Hubbard dimer
We apply a computationally efficient approach to study the time- and energy-resolved spectral properties of a two-site Hubbard model using the nonequilibrium Green's function formalism. By employing the iterative generalized Kadanoff-Baym ansatz ($i$GKBA) within a time-linear framework, we avoid the computational cost of solving the full two-time Kadanoff-Baym equations. Spectral information is extracted by coupling the system to multiple narrow-band leads, establishing a direct analogy to phot…

This https://arxiv.org/abs/2505.03551 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qu…

From Mass-Shell Factorisation to Spin: An Attempt at a Matrix-Valued Liouville Framework for Relativistic Classical and Quantum Phase-Spacetime
While Liouville's theorem is first-order in time for the phase-space distribution itself, the relativistic mass-shell constraint $p^μp_μ= m^2$ is naively second-order in energy. We argue that it is reasonable to unify both energy branches within a single Hamiltonian by factorizing $(p^2 - m^2)$ in analogy with Dirac's approach in relativistic quantum mechanics. We show the resulting matrix-based Liouville equation remains first order and naturally yields a $4\times4$ matrix-valued probability…

Higher homotopy wild sets
Jeremy Brazas, Atish Mitra
https://arxiv.org/abs/2505.23665 https://arxiv.org/pdf/2505.23665

Higher homotopy wild sets
The $π_n$-wild set $\mathbf{w}_{n}(X)$ of a topological space $X$ is the subspace of $X$ consisting of the points at which there exists a shrinking sequence of essential based maps $S^n\to X$. In this paper, we show that the homotopy type of $\mathbf{w}_{n}(X)$ is a homotopy invariant of $X$ and, in analogy to the known one-dimensional case, we show that for certain $n$-dimensional $π_n$-shape injective metric spaces, the homeomorphism type of $\mathbf{w}_{n}(X)$ is a homotopy invariant of $X…

This https://arxiv.org/abs/2502.18560 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_grqc_…

Quantum decoherence of gravitational waves
The quantum nature of gravity remains an open question in fundamental physics, lacking experimental verification. Gravitational waves (GWs) provide a potential avenue for detecting gravitons, the hypothetical quantum carriers of gravity. However, by analogy with quantum optics, distinguishing gravitons from classical GWs requires the preservation of quantum coherence, which may be lost due to interactions with the cosmic environment causing decoherence. We investigate whether GWs retain their q…

VC-dimension of generalized progressions in some nonabelian groups
Gabriel Conant, Aycin Iplikci Arodirik, Tora Ozawa, David Zeng
https://arxiv.org/abs/2505.21789

VC-dimension of generalized progressions in some nonabelian groups
We analyze generalized progressions in some nonabelian groups using a measure of complexity called VC-dimension, which was originally introduced in statistical learning theory by Vapnik and Chervonenkis. Here by a "generalized progression" in a group $G$, we mean a finite subset of $G$ built from a fixed set of generators in analogy to a (multidimensional) arithmetic progression of integers. These sets play an important role in additive combinatorics and, in particular, the study of approximate…

Finite-time scaling on low-dimensional map bifurcations
Daniel A. Martin, Qian-Yuan Tang, Dante R. Chialvo
https://arxiv.org/abs/2505.24673 https://…

Finite-time scaling on low-dimensional map bifurcations
Recent work has introduced the concept of finite-time scaling to characterize bifurcation diagrams at finite times in deterministic discrete dynamical systems, drawing an analogy with finite-size scaling used to study critical behavior in finite systems. In this work, we extend the finite-time scaling approach in several key directions. First, we present numerical results for 1D maps exhibiting period-doubling bifurcations and discontinuous transitions, analyzing selected paradigmatic examples.…

This https://arxiv.org/abs/2408.12002 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Electrostatic Origins of the Dirichlet Principle
The Dirichlet Principle is an approach to solving the Dirichlet problem by means of a Dirichlet energy integral. It is part of the folklore of mathematics that the genesis of this argument was motivated by physical analogy involving electrostatic fields. The story goes something like this: If an electrostatic potential is prescribed on the boundary of a region, it will extend to a potential in the interior of the region which is harmonic when the electric field is in stable equilibrium, and tha…

d-Boolean algebras and their bitopological representation
Hang Yang, Dexue Zhang
https://arxiv.org/abs/2505.17806 https://arxiv.org/p…

d-Boolean algebras and their bitopological representation
We present a Stone duality for bitopological spaces in analogy to the duality between Stone spaces and Boolean algebras, in the same vein as the duality between d-sober bitopological spaces and spatial d-frames established by Jung and Moshier. Precisely, we introduce the notion of d-Boolean algebras and prove that the category of such algebras is dually equivalent to the category of Stone bitopological spaces, which are compact and zero-dimensional bitopological spaces satisfying the T0 separat…

Eternalism and Everettian Quantum Mechanics
Matias Slavov
https://arxiv.org/abs/2505.22160 https://arxiv.org/pdf/2505.22160

Eternalism and Everettian Quantum Mechanics
This paper shall explore the conjunction of eternalism and Everettian quantum mechanics. It shall be argued that there is a strong analogy between these two views. In case there is an indefinite number of worlds and observers that are all equally real, there should be an indefinite number of local times which are all also equally real. Whereas Everettianism, specifically the diverging version, treats actuality indexically, relativistic eternalism treats tense indexically. All times exist analog…