Tootfinder

This https://arxiv.org/abs/2504.01139 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

Power Spectra in Double-Field Inflation Using Renormalization-Group Techniques
A perturbative strategy for inflation described by two-inflaton fields is developed using a mathematical analogy with the renormalization-group. Two small quantities, $α$ and $λ$, corresponding to standard slow-roll parameters are defined and systematic expansions of all inflationary quantities in terms of powers of $α$ and $λ$ are found. No other slow-roll parameters are needed. To illustrate this perturbative method in the multi-field context, we adopt a simple two-inflaton model with qua…

This https://arxiv.org/abs/2503.17841 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_…

Non-orbital particle trapping in binary black holes through dynamic stability
We present an interdisciplinary comparison between binary black hole systems and Radio Frequency (RF) Paul Traps, modeling the gravitational binary system as a rotating saddle near its center. This analogy connects these seemingly unrelated systems through the concept of dynamic stability. The rotating saddle potential is analytically tractable, allowing us to prove the existence of bounded charged particle trajectories under certain conditions. By focusing on stellar-mass black holes with a we…

This https://arxiv.org/abs/2412.13751 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Notions of entropy for unitary representations
Several notions of entropy are studied widely in the ergodic theory of probability-preserving actions of countable groups. These include the generalization of Kolmogorov--Sinai entropy for amenable groups using Følner sequences, percolative entropy entropy for general countable groups, and Bowen's sofic entropy for sofic groups. In this work we pursue these notions across the analogy between ergodic theory and representation theory. We arrive at new quantities associated to unitary represent…

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

Equivariant periodic cyclic homology for ample groupoids
Francesco Pagliuca, Christian Voigt
https://arxiv.org/abs/2506.06503 https://

Equivariant periodic cyclic homology for ample groupoids
We define and study bivariant equivariant periodic cyclic homology for actions of ample groupoids. In analogy to the group case, we show that the theory satisfies homotopy invariance, stability, and excision in both variables. We also prove an analogue of the Green-Julg theorem for actions of proper groupoids.

Linear-response theory in Floquet systems
Ayan Pal, Erik G. C. P. van Loon, Ferdi Aryasetiawan
https://arxiv.org/abs/2506.07788 https://

Linear-response theory in Floquet systems
Nonequilibrium quantum physics greatly simplifies in the case of time-periodic Hamiltonians, since Floquet theory provides an analogue to Bloch's theorem in the time domain. Still, the formal properties of Floquet many-body theory remain underexplored. Here, we develop linear response theory for Floquet systems, in the sense that we have a time-periodic potential of arbitrary strength and a perturbatively small but non-periodic probing field. As an application, we derive the analogy of Fermi's …

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…

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

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…

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…

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…

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/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…

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…

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…

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.…

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…

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…

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…

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…

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…