Tootfinder

Symmetrized operators or modified integration measure in Generalized Uncertainty Principle Models
Michael Bishop, Daniel Hooker, Doug Singleton
https://arxiv.org/abs/2509.20466 …

Symmetrized operators or modified integration measure in Generalized Uncertainty Principle Models
Many Generalized Uncertainty Principle (GUP) models modify the inner-product measure to ensure symmetric position or momentum operators. We show that an alternate approach to these GUPs is to symmetrize the operators rather than modifying the inner product. This preserves the standard momentum space allowing the eigenstates and maximally localized states of the modified position operator to have a standard position representation. We compare both approaches and highlight their merits.

Challenging $\Lambda$CDM with Higher-Order GUP Corrections
Andronikos Paliathanasis, Genly Leon, Yoelsy Leyva, Giuseppe Gaetano Luciano, Amare Abebe
https://arxiv.org/abs/2508.20644

Challenging $Λ$CDM with Higher-Order GUP Corrections
We study quantum corrections to the $Λ$CDM model model arising from a minimum measurable length in Heisenberg's uncertainty principle. We focus on a higher-order Generalized Uncertainty Principle, beyond the quadratic form. This generalized GUP introduces two free parameters, and we determine the modified Friedmann equation. This framework leads to a perturbative cosmological model that naturally reduces to $Λ$CDM in an appropriate limiting case of the deformation parameters. We construct the…

Extremizers of a Fourier uncertainty principle related to averaging
Miquel Saucedo, Sergey Tikhonov
https://arxiv.org/abs/2508.17938 https://arxiv.org/pdf/…

Extremizers of a Fourier uncertainty principle related to averaging
We study the uncertainty principle $$\lVert\widehatμ(ξ) |ξ|^β\rVert_\infty^α \left(\int |x|^αd μ\right)^β \geq C(α,β,d){\lVertμ\rVert_{TV}^{α+β}}$$ for finite non-negative measures on $\mathbb{R}^d $. We prove that $C(α,β,d)>0$ for all $α,β>0$ and that extremizers exist. Moreover, we obtain an abstract characterization of the extremizers, which allows us to describe their asymptotic behavior and, for certain parameter values, to determine them explicitly.

Think before you fit: parameter identifiability, sensitivity and uncertainty in systems biology models
Simon P. Preston, Richard D. Wilkinson, Richard H. Clayton, Mike J. Chappell, Gary R. Mirams
https://arxiv.org/abs/2508.18853

Think before you fit: parameter identifiability, sensitivity and uncertainty in systems biology models
Reliable predictions from systems biology models require knowing whether parameters can be estimated from available data, and with what certainty. Identifiability analysis reveals whether parameters are learnable in principle (structural identifiability) and in practice (practical identifiability). We introduce the core ideas using linear models, highlighting how experimental design and output sensitivity shape identifiability. In nonlinear models, identifiability can vary with parameter values…

The vOICe vision BCI can in principle also get around the frequency-time uncertainty principle (Heisenberg uncertainty principle) in sound waves, here by exploiting a priori knowledge of the limited set of frequencies used https://www.seeingwithsound.com/freqtime.htm

On the extremal functions of second order uncertainty principles: symmetry and symmetry breaking
Xiao-Ping Chen, Chun-Lei Tang
https://arxiv.org/abs/2508.15221 https://

On the extremal functions of second order uncertainty principles: symmetry and symmetry breaking
This paper focus on the symmetry and symmetry breaking about the second order Hydrogen Uncertainty Principle. \emph{Firstly}, by choosing a suitable test function, we give a negative answer to the conjecture presented by Cazacu, Flynn and Lam in [\emph{J. Funct. Anal.} \textbf{283} (2022), Paper No. 109659, 37 pp] for $N\in\{2,3\}$, and emphasizing the symmetry breaking phenomenon. \emph{Secondly}, we obtain a family of sharp weighted second order Hydrogen Uncertainty Principle, and prove the e…

Squeezed Diffusion Models
Jyotirmai Singh, Samar Khanna, James Burgess
https://arxiv.org/abs/2508.14871 https://arxiv.org/pdf/2508.14871

Squeezed Diffusion Models
Diffusion models typically inject isotropic Gaussian noise, disregarding structure in the data. Motivated by the way quantum squeezed states redistribute uncertainty according to the Heisenberg uncertainty principle, we introduce Squeezed Diffusion Models (SDM), which scale noise anisotropically along the principal component of the training distribution. As squeezing enhances the signal-to-noise ratio in physics, we hypothesize that scaling noise in a data-dependent manner can better assist dif…

Infrared Extended Uncertainty Principle Corrections and Quintessence-Induced Topology of Reissner-Nordstr\"om AdS Black Holes
Y. Sekhmani, G. G. Luciano, S. N. Gashti, A. Baruah
https://arxiv.org/abs/2508.14953

Infrared Extended Uncertainty Principle Corrections and Quintessence-Induced Topology of Reissner-Nordström AdS Black Holes
We present a unified topological and geometric analysis of charged Anti-de Sitter (AdS) black holes immersed in a quintessence field, incorporating infrared gravitational corrections arising from the Extended Uncertainty Principle (EUP). The latter modifies the standard Heisenberg uncertainty relation by introducing a minimal momentum/maximal length scale, which effectively captures long-wavelength quantum gravitational effects relevant to black hole thermodynamics in curved spacetimes. We deri…

Unitary equivalence in Generalized Uncertainty Principle theories
Sebastiano Segreto, Matteo Bruno
https://arxiv.org/abs/2509.05477 https://arxiv.org/pdf/2…

Unitary equivalence in Generalized Uncertainty Principle theories
We analyze the fundamental issue of unitary equivalence within the framework of Generalized Uncertainty Principle (GUP) theories in the one-dimensional case. Given a deformed Heisenberg algebra, its representation in terms of the Hilbert space and quantum conjugate operators is not uniquely determined. This raises the question of whether two different realizations of the same algebra are equivalent and thus whether they describe the same physics. Having agreed on the formal definition of a quan…

Uncertainty Principle from Operator Asymmetry
Xingze Qiu
https://arxiv.org/abs/2509.06760 https://arxiv.org/pdf/2509.06760…

Uncertainty Principle from Operator Asymmetry
The uncertainty principle is fundamentally rooted in the algebraic asymmetry between observables. We introduce a new class of uncertainty relations grounded in the resource theory of asymmetry, where incompatibility is quantified by an observable's intrinsic, state-independent capacity to break the symmetry associated with another. This ``operator asymmetry,'' formalized as the asymmetry norm, leads to a variance-based uncertainty relation for pure states that can be tighter than the standard R…

Crosslisted article(s) found for hep-th. https://arxiv.org/list/hep-th/new
[1/1]:
- Infrared Extended Uncertainty Principle Corrections and Quintessence-Induced Topology of Reissner...
Y. Sekhmani, G. G. Luciano, S. N. Gashti, A. Baruah

Can Effects of a Generalized Uncertainty Principle Appear in Compact Stars?
Jo\~ao Gabriel Galli Gimenez, Dimiter Hadjimichef, Peter O. Hess, Marcelo Netz-Marzola, C\'esar A. Zen Vasconcellos
https://arxiv.org/abs/2508.14296

Can Effects of a Generalized Uncertainty Principle Appear in Compact Stars?
In the present contribution, a preliminary analysis of the effects of the Generalized Uncertainty Principle (GUP) with a minimum length, in the context of compact stars, is performed. On basis of a deformed Poisson canonical algebra with a parametrized minimum length scale that induces deviations from conventional Quantum Mechanics, fundamental questions involving the consistence, evidences and proofs of this approach as a possible cure for unbounded energy divergence are outlined. The incorpor…

The role of angular slit number and angular slit width on the OAM spectrum
Jayson P. Cabanilla, Nathaniel Hermosa
https://arxiv.org/abs/2509.13829 https://…

The role of angular slit number and angular slit width on the OAM spectrum
The uncertainty principle sets the limit for simultaneous measurements of position and momentum, and its angular analogue is realized through angular diffraction. When a beam is spatially confined by angular slits, the uncertainty in its orbital angular momentum (OAM) increases, leading to the generation of OAM sidebands. Both the angular slit number and the angular slit width shapes the spatial confinement of the beam. In this study, we investigate this dependence of the OAM sidebands by obstr…

When is it (im)possible to respect all individuals' preferences under uncertainty?
Kensei Nakamura
https://arxiv.org/abs/2508.12542 https://arxiv.org/p…

When is it (im)possible to respect all individuals' preferences under uncertainty?
When aggregating Subjective Expected Utility preferences, the Pareto principle leads to an impossibility result unless the individuals have a common belief. This paper examines the source of this impossibility in more detail by considering the aggregation of a general class of incomplete preferences that can represent gradual ambiguity perceptions. Our result shows that the planner cannot avoid ignoring some individuals unless there is a probability distribution that all individuals agree is mo…

Quantum nature of gravity in self-bound quantum droplets
Asma Tahar Taiba, Abdelaali Boudjemaa
https://arxiv.org/abs/2508.12838 https://arxiv.org/pdf/2508.…

Quantum nature of gravity in self-bound quantum droplets
We explore the possibility of testing the quantum nature of the gravitational field with an ultracold self-bound quantum droplet of one-dimensional Bose-Bose mixtures. To this end, we solve variationally and numerically the underlying generalized Gross-Pitaevskii equation which includes the effects of quadratic and cubic nonlinearities. We derive the associated generalized uncertainty principle and its corresponding minimal length. The obtained modified uncertainty relation enables us to search…

Unique continuation and Hardy's uncertainty principle for hyperbolic Schr\"odinger equations
Torunn Jensen
https://arxiv.org/abs/2510.09202 https://

Unique continuation and Hardy's uncertainty principle for hyperbolic Schrödinger equations
We prove unique continuation properties related to the Hardy uncertainty principle for solutions of the hyperbolic nonlinear Schrödinger equation and the hyperbolic Schrödinger equation with potential. Under suitable conditions on the nonlinearity, or the potential, we show that if $u$ is a solution with Gaussian decay at two different times, then $u\equiv 0$. These results extend to the hyperbolic setting the work of Escauriaza, Kenig, Ponce, and Vega (JEMS, 10, 2008) for the classical SchrÃ…

Memory as Structured Trajectories: Persistent Homology and Contextual Sheaves
Xin Li
https://arxiv.org/abs/2508.11646 https://arxiv.org/pdf/2508.11646

Memory as Structured Trajectories: Persistent Homology and Contextual Sheaves
We propose a topological framework for memory and inference grounded in the structure of spike-timing dynamics, persistent homology, and the Context-Content Uncertainty Principle (CCUP). Starting from the observation that polychronous neural groups (PNGs) encode reproducible, time-locked spike sequences shaped by axonal delays and synaptic plasticity, we construct spatiotemporal complexes whose temporally consistent transitions define chain complexes over which robust activation cycles emerge. …

Orlicz spaces and the uncertainty principle
A. Iosevich, I. Li, Z. Li, E. Yu
https://arxiv.org/abs/2509.05185 https://arxiv.org/pdf/2509.05185

Orlicz spaces and the uncertainty principle
Let $f$ be a finite signal. The classical uncertainty principle tells us that the product of the support of $f$ and the support of $\hat{f}$, the Fourier transform of $f$, must satisfy $|supp(f)|\cdot|supp(\hat{f})|\geq |G|$. Recently, Iosevich and Mayeli improved the uncertainty principle for signals with Fourier supported on generic sets. This was done by employing the Fourier restriction theory in $L^p$ spaces. In this paper, we extended the $(p,q)$-restriction …

On the Derivation of Equations of Motion from Symmetries in Quantum-Mechanical Systems via Heisenberg's Uncertainty
Enrique Casanova, Jos\'e Rojas, Melvin Arias
https://arxiv.org/abs/2508.10661

On the Derivation of Equations of Motion from Symmetries in Quantum-Mechanical Systems via Heisenberg's Uncertainty
We propose the construction of equations of motion based on symmetries in quantum-mechanical systems, using Heisenberg's uncertainty principle as a minimal foundation. From canonical operators, two spaces of conjugate operators are constructed, along with a third space derived from the former, which includes the ``Symmetry-Dilation'' operator. When this operator commutes with the main equation of motion, it defines the set of observables compatible with a complete basis of operators (symmetry g…

Risk-Adjusted Policy Learning and the Social Cost of Uncertainty: Theory and Evidence from CAP evaluation
Giovanni Cerulli, Francesco Caracciolo
https://arxiv.org/abs/2510.05007

Risk-Adjusted Policy Learning and the Social Cost of Uncertainty: Theory and Evidence from CAP evaluation
This paper develops a risk-adjusted alternative to standard optimal policy learning (OPL) for observational data by importing Roy's (1952) safety-first principle into the treatment assignment problem. We formalize a welfare functional that maximizes the probability that outcomes exceed a socially required threshold and show that the associated pointwise optimal rule ranks treatments by the ratio of conditional means to conditional standard deviations. We implement the framework using microdata …

Replaced article(s) found for math.CO. https://arxiv.org/list/math.CO/new
[1/1]:
- Covering the hypercube, the uncertainty principle, and an interpolation formula
Paata Ivanisvili, Ohad Klein, Roman Vershynin

Nonlinear Heisenberg Limit via Uncertainty Principle in Quantum Metrology
Binke Xia, Jingzheng Huang, Yuxiang Yang, Guihua Zeng
https://arxiv.org/abs/2510.09216 https://

Nonlinear Heisenberg Limit via Uncertainty Principle in Quantum Metrology
The Heisenberg limit is acknowledged as the ultimate precision limit in quantum metrology, traditionally implying that root mean square errors of parameter estimation decrease linearly with the time T of evolution and the number N of quantum gates or probes. However, this conventional perspective fails to interpret recent studies of "super-Heisenberg" scaling, where precision improves faster than linearly with T and N. In this work, we revisit the Heisenberg scaling by leveraging the position-m…

Crosslisted article(s) found for cs.IT. https://arxiv.org/list/cs.IT/new
[1/1]:
- Continuous Donoho-Elad Spark Uncertainty Principle
K. Mahesh Krishna
https://

Replaced article(s) found for cond-mat.stat-mech. https://arxiv.org/list/cond-mat.stat-mech/new
[1/1]:
- Derivation of Bose-Einstein statistics from the uncertainty principle
Paul Tangney

On Sharp Heisenberg Uncertainty Principle and the stability
Xia Huang, Dong Ye
https://arxiv.org/abs/2510.00453 https://arxiv.org/pdf/2510.00453

On Sharp Heisenberg Uncertainty Principle and the stability
In this work, we summarize the linearization method to study the Heisenberg Uncertainty Principles, and explain that the same approach can be used to handle the stability problem. As examples of application, combining with spherical harmonic decomposition and the Hardy inequalities, we revise two families of inequalities. We give firstly an affirmative answer in dimension four to Cazacu-Flynn-Lam's conjecture [JFA, 2022] for the sharp Hydrogen Uncertainty Principle, and improve the recent estim…

Crosslisted article(s) found for math.PR. https://arxiv.org/list/math.PR/new
[1/2]:
- Continuous Donoho-Elad Spark Uncertainty Principle
K. Mahesh Krishna
https…

Crosslisted article(s) found for hep-th. https://arxiv.org/list/hep-th/new
[1/2]:
- Unitary equivalence in Generalized Uncertainty Principle theories
Sebastiano Segreto, Matteo Bruno

Crosslisted article(s) found for math.FA. https://arxiv.org/list/math.FA/new
[1/1]:
- Continuous Donoho-Elad Spark Uncertainty Principle
K. Mahesh Krishna
https…

Unified Framework for Geodesic Dynamics with Conservative, Dissipative, and GUP Effects
Gaurav Bhandari, S. D. Pathak, Harjit Ghotra
https://arxiv.org/abs/2509.14663 https://

Unified Framework for Geodesic Dynamics with Conservative, Dissipative, and GUP Effects
We derive generalized geodesic equations in curved spacetime that include conservative forces, dissipative effects, and quantum-gravity-motivated minimal-length corrections. Conservative interactions are incorporated through external vector potentials, while dissipative dynamics arise from an exponential rescaling of the particle Lagrangian. Quantum-gravity effects are introduced via Generalized Uncertainty Principle (GUP) deformed Poisson brackets in the Hamiltonian framework. We show that fre…

Predictively Oriented Posteriors
Yann McLatchie, Badr-Eddine Cherief-Abdellatif, David T. Frazier, Jeremias Knoblauch
https://arxiv.org/abs/2510.01915 https://

Predictively Oriented Posteriors
We advocate for a new statistical principle that combines the most desirable aspects of both parameter inference and density estimation. This leads us to the predictively oriented (PrO) posterior, which expresses uncertainty as a consequence of predictive ability. Doing so leads to inferences which predictively dominate both classical and generalised Bayes posterior predictive distributions: up to logarithmic factors, PrO posteriors converge to the predictively optimal model average at rate $n^…

Localised solution of stochastic Schr\"odinger equation describing simultaneous continuous measurement of position and momentum
Daniel J. Bedingham
https://arxiv.org/abs/2509.11832

Localised solution of stochastic Schrödinger equation describing simultaneous continuous measurement of position and momentum
A stochastic Schrödinger equation is presented to describe simultaneous continuous measurement of the position and momentum of a non-relativistic particle. The equation is solved to yield a state localised in position and momentum contingent on the uncertainty principle. The state is understood as that to which the particle tends after a period of continuous measurement. The solution takes the form of a wave packet of fixed Gaussian shape whose centre undergoes random motion in phase space. It…

A High-Frequency Uncertainty Principle for the Fourier-Bessel Transform
Benjamin Jaye, Rahul Sethi
https://arxiv.org/abs/2509.25500 https://arxiv.org/pdf/2…

A High-Frequency Uncertainty Principle for the Fourier-Bessel Transform
Motivated by problems in control theory concerning decay rates for the damped wave equation $$w_{tt}(x,t) + γ(x) w_t(x,t) + (-Δ+ 1)^{s/2} w(x,t) = 0,$$ we consider an analogue of the classical Paneah-Logvinenko-Sereda theorem for the Fourier Bessel transform. In particular, if $E \subset \mathbb{R}^+$ is $μ_α$-relatively dense (where $dμ_α(x) \approx x^{2α+1}\, dx$) for $α> -1/2$, and $\operatorname{supp} \mathcal{F}_α(f) \subset [R,R+1]$, then we show $$\|f\|_{L^2_α(\mathbb…

Quantum hierarchical Fokker-Planck equations with U(1) gauge fields: Application to the Aharonov-Bohm ring
Hyeonseok Yang, Shoki Koyanagi, Yoshitaka Tanimura
https://arxiv.org/abs/2509.11462

Quantum hierarchical Fokker-Planck equations with U(1) gauge fields: Application to the Aharonov-Bohm ring
We investigate a three-dimensional subsystem under a time-dependent U(1) gauge field coupled to rotationally invariant environments. To capture the dynamic behavior of the subsystem under thermal excitations and dissipations, it is imperative to treat the bath in a non-Markovian and nonperturbative manner. This is because quantum noise is constrained by the uncertainty principle, which dictates the relationship between the noise correlation time and the amplitude of the energy fluctuation. To t…

Probing minimal observable length with dark modes in an optomechanical detector
Wenlin Li, Xingli Li, Najmeh Eshaqi-Sani, Wen-zhao Zhang, Jiong Cheng
https://arxiv.org/abs/2508.10389

Probing minimal observable length with dark modes in an optomechanical detector
Several theories that attempt to unify quantum theory and gravitational theory assume that space has an observable limiting resolution related to the Planck length, denoted by $\sqrt{β_0}L_p$. Quantum mechanically, this concept derives a generalized uncertainty principle (GUP) and the corresponding modified commutator. The prediction and observation of GUP-induced new physics, as well as the quantitative measurement of the value of $β_0$, may provide substantial support for the establishment …

Quantum speed limit as a sensitive probe of Planck-scale effects
Salman Sajad Wani, Saif Al-Kuwari
https://arxiv.org/abs/2510.00057 https://arxiv.org/pdf/2…

Quantum speed limit as a sensitive probe of Planck-scale effects
Many quantum-gravity scenarios predict a minute modification of the canonical commutator, known as the generalized uncertainty principle (GUP), whose low-energy signatures are, in principle, accessible to state-of-the-art laboratory tests. We compute first-order minimal-length corrections to the quantum speed limit (QSL) for three cases: uniform superpositions in an infinite square well, coherent harmonic-oscillator states, and squeezed-oscillator states. We identify a universal amplification l…

LIV-Decoherence on Gravitational Cat States
Iarley P. Lobo, Kelvin Sampaio, Gislaine Var\~ao, Moises Rojas, Valdir B. Bezerra
https://arxiv.org/abs/2510.08828 https://

LIV-Decoherence on Gravitational Cat States
Inspired by approaches based on the stochastic generalized uncertainty principle, we propose a Lindblad equation derived from the quantization of a stochastic modified dispersion relation in a Lorentz Invariance Violation (LIV) scenario. This framework enables us to investigate decoherence effects in a system of particles exhibiting gravitationally induced entanglement. We analyze the impact of LIV on entanglement (quantified by concurrence) considering systematic and stochastic effects.

Thermodynamics and P-v criticality of RN-AdS black hole surrounded by PFDM on the EGUP framework
Bo-Li Liu, Yu Zhang, Qi-Quan Li
https://arxiv.org/abs/2509.08005 https://…

Thermodynamics and P-v criticality of RN-AdS black hole surrounded by PFDM on the EGUP framework
In this paper, we systematically study the thermodynamic properties and P-v criticality of the RN-AdS black hole surrounded by PFDM in the framework of the extended generalized uncertainty principle (EGUP). In the extended phase space, starting from the first law of black hole thermodynamics, the EGUP-corrected Hawking temperature, heat capacity, and entropy are derived. Then, we use graphical methods to analyze the effects of the EGUP parameters on these thermodynamic quantities. Analysis of t…

Crosslisted article(s) found for gr-qc. https://arxiv.org/list/gr-qc/new
[1/1]:
- Unitary equivalence in Generalized Uncertainty Principle theories
Sebastiano Segreto, Matteo Bruno

Far-from-equilibrium thermodynamics of non-Abelian thermal states
Franklin L. S. Rodrigues, Eric Lutz
https://arxiv.org/abs/2510.04788 https://arxiv.org/pd…

Far-from-equilibrium thermodynamics of non-Abelian thermal states
Noncommutativity of observables is a central feature of quantum physics. It plays a fundamental role in the formulation of the uncertainty principle for complementary variables and strongly affects the laws of thermodynamics for systems with noncommuting, that is, non-Abelian, conserved quantities. We here derive nonequilibrium generalizations of the second law of thermodynamics in the form of fluctuation relations, both for mechanically and thermally driven quantum systems. We identify a non-A…