Tootfinder

The Gittins Index: A Design Principle for Decision-Making Under Uncertainty
Ziv Scully, Alexander Terenin
https://arxiv.org/abs/2506.10872 https://

The Gittins Index: A Design Principle for Decision-Making Under Uncertainty
The Gittins index is a tool that optimally solves a variety of decision-making problems involving uncertainty, including multi-armed bandit problems, minimizing mean latency in queues, and search problems like the Pandora's box model. However, despite the above examples and later extensions thereof, the space of problems that the Gittins index can solve perfectly optimally is limited, and its definition is rather subtle compared to those of other multi-armed bandit algorithms. As a result, the …

HBAR entropy of Infalling Atoms into a GUP-corrected Schwarzschild Black Hole and equivalence principle
Ali \"Ovg\"un, Reggie C. Pantig
https://arxiv.org/abs/2506.10621 …

HBAR entropy of Infalling Atoms into a GUP-corrected Schwarzschild Black Hole and equivalence principle
In this work, we have investigated the phenomenon of acceleration radiation exhibited by a two-level atom freely falling into a Generalized Uncertainty Principle (GUP)-corrected Schwarzschild black hole. We derive analytic expressions for the atom's excitation probability with simultaneous emission of a scalar quantum and observe that it satisfies the Einstein equivalence principle when compared to the excitation probability induced by a uniformly accelerating mirror, motivated by studies [10.1…

$\alpha$-attractor inflation modified by GUP in light of ACT observations
Hana Heidarian, Milad Solbi, Soma Heydari, Kayoomars Karami
https://arxiv.org/abs/2506.10547

$α$-attractor inflation modified by GUP in light of ACT observations
Here, the $α$-attractor inflation is investigated within a framework incorporating a minimal measurable length, as implemented by the Generalized Uncertainty Principle (GUP). The GUP modifications to the Friedmann equations and cosmological perturbation parameters are employed to assess the model observational viability against recent high-precision data, primarily from the Atacama Cosmology Telescope Data Release 6 (ACT DR6) combined with Planck, DESI BAO, and BICEP/Keck 2018 observations (P-…

Improving AEBS Validation Through Objective Intervention Classification Leveraging the Prediction Divergence Principle
Daniel Betschinske, Steven Peters
https://arxiv.org/abs/2507.07872

Improving AEBS Validation Through Objective Intervention Classification Leveraging the Prediction Divergence Principle
The safety validation of automatic emergency braking system (AEBS) requires accurately distinguishing between false positive (FP) and true positive (TP) system activations. While simulations allow straightforward differentiation by comparing scenarios with and without interventions, analyzing activations from open-loop resimulations - such as those from field operational testing (FOT) - is more complex. This complexity arises from scenario parameter uncertainty and the influence of driver inter…

Probing Planck scale effects on absolute mass limit in neutrino flavor evolution
Kartik Joshi, Sanjib Dey, Satyajit Jena
https://arxiv.org/abs/2506.07588 h…

Probing Planck scale effects on absolute mass limit in neutrino flavor evolution
This work explores how the generalized uncertainty principle, a theoretical modification of the Heisenberg uncertainty principle inspired by quantum gravity, affects neutrino flavor oscillations. By extending the standard two-flavor neutrino model, we show that the oscillation probability acquires an additional phase term that depends on the square roots of the neutrino masses, introducing new features beyond the conventional mass-squared differences. To account for the non-Hermitian nature of …

The uncertainty principle for #weather #forecast: you can't simultaneously precisely determine the place and the time of a given phenomena.
So if the weather forecast says it'll rain in Poznań today, it actually means that either it will rain Poznań some day, or that it will rain somewhere today.

Uncertainty principles for free metaplectic transformation and associated metaplectic operators
Ping Liang, Pei Dang, Weixiong Mai
https://arxiv.org/abs/2506.03724

Uncertainty principles for free metaplectic transformation and associated metaplectic operators
In this paper, we systematically investigate the Heisenberg-Pauli-Weyl uncertainty principle for free metaplectic transformation, as well as metaplectic operators. Specifically, we obtain two different types of the uncertainty principle for free metaplectic transformations in terms of the so-called phase derivative, one of which can be generalized to the $L^p$-case with $1\le p\le 2$. The obtained results are valid not only for free metaplectic transformations but also for general metaplectic o…

This https://arxiv.org/abs/2505.22221 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qu…

Tight qubit uncertainty relations studied through weak values in neutron interferometry
In its original formulation, Heisenberg's uncertainty principle describes a trade-off relation between the error of a quantum measurement and the thereby induced disturbance on the measured object. However, this relation is not valid in general. An alternative universally valid relation was derived by Ozawa in 2003, defining error and disturbance in a general concept, experimentally accessible via a tomographic method. Later, it was shown by Hall that these errors correspond to the statistical …

The 2p order Heisenberg-Pauli-Weyl uncertainty principles related to the offset linear canonical transform
Jia-Yin Peng, Bing-Zhao Li
https://arxiv.org/abs/2507.00010

The 2p order Heisenberg-Pauli-Weyl uncertainty principles related to the offset linear canonical transform
The uncertainty principle is one of the fundamental tools for time-frequency analysis in harmonic analysis, revealing the intrinsic trade-off between time and frequency resolutions. With the continuous development of various advanced time-frequency analysis methods based on the Fourier transform, investigating uncertainty principles associated with these methods has become one of the most interesting topics. This paper studies the uncertainty principles related to the offset linear canonical tr…

Uncertainty Principles and Non-local Black Holes
Salvatore Capozziello, Giuseppe Meluccio, Jonas R. Mureika
https://arxiv.org/abs/2506.21048 https://

Uncertainty Principles and Non-local Black Holes
We discuss the Generalized Uncertainty Principle and the Extended Uncertainty Principle in the context of black hole solutions coming from non-local theories of gravity, focusing, specifically, on Infinite Derivative Gravity. We argue that these modifications of the Heisenberg Uncertainty Principle are effective descriptions arising from the non-local features of gravitational interaction. By comparing the predictions of both the modified uncertainty principles and non-local gravity, we find th…

This https://arxiv.org/abs/2504.15462 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hepp…

Light front holographic QCD theory in the generalized uncertainty principle framework
In this article, we develop the framework of light-front holographic QCD in the presence of a minimal length scale by incorporating the Generalized Uncertainty Principle (GUP) into the QCD Lagrangian. From this modified theory, we derive a GUP-corrected light-front holographic QCD (LFH QCD) equation and obtain the corresponding hadronic mass spectrum. Our results show that the hadronic mass spectrum acquires an additional GUP-dependent term that increases the masses. This mass enhancement leads…

This https://arxiv.org/abs/2412.08600 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Chebotarev's theorem for roots of unity of square free order
Let $p$ be a prime number and $ζ_p$ a primitive $p$-th root of unity. Chebotarev's theorem states that every square submatrix of the $p \times p$ matrix $(ζ_p^{ij})_{i,j=0}^{p-1}$ is non-singular. In this paper we prove the same for principal submatrices of $(ζ_n^{ij})_{i,j=0}^{n-1}$, when $n=pr$ is the product of two distinct primes, and $p$ is a large enough prime that has order $r-1$ in $\mathbf{Z}_r^*$. As an application, an uncertainty principle for cyclic groups of order $n$ is establi…

The Time-Energy Principle in Algebraic Geometry
Renaud Gauthier
https://arxiv.org/abs/2507.13134 https://arxiv.org/pdf/2507.13134

The Time-Energy Principle in Algebraic Geometry
We consider the time-energy uncertainty principle from Quantum Mechanics and provide its Algebro-Geometric interpretation within the context of stacks.

Efficient dataset construction using active learning and uncertainty-aware neural networks for plasma turbulent transport surrogate models
Aaron Ho (MIT Plasma Science and Fusion Center, Cambridge, USA), Lorenzo Zanisi (UKAEA Culham Centre for Fusion Energy, Abingdon, UK), Bram de Leeuw (Radboud University, Nijmegen, Netherlands), Vincent Galvan (MIT Plasma Science and Fusion Center, Cambridge, USA), Pablo Rodriguez-Fernandez (MIT Plasma Science and Fusion Center, Cambridge, USA), Nath…

Efficient dataset construction using active learning and uncertainty-aware neural networks for plasma turbulent transport surrogate models
This work demonstrates a proof-of-principle for using uncertainty-aware architectures, in combination with active learning techniques and an in-the-loop physics simulation code as a data labeller, to construct efficient datasets for data-driven surrogate model generation. Building off of a previous proof-of-principle successfully demonstrating training set reduction on static pre-labelled datasets, using the ADEPT framework, this strategy was applied again to the plasma turbulent transport prob…

Generalized Uncertainty Principle as a Mechanism for CP Violation
Hector Gisbert, Victor Ilisie, Ezequiel Valero
https://arxiv.org/abs/2507.20727 https://a…

Generalized Uncertainty Principle as a Mechanism for CP Violation
Within quantum electrodynamics we show that the Generalized Uncertainty Principle induces higher-derivative corrections that promote the topological invariant $F_{μν}\,\widetilde F^{μν}$ to the dynamical, non-topological operator $\partial^λF_{μν}\,\partial_λ\widetilde F^{μν}$. We explore the resulting phenomenology, focusing on the generation of electric dipole moments. Our findings open a new low-energy window for testing quantum-gravity scenarios through precision measurements of c…

Modeling the position and velocity distribution of space objects by maximizing entropy with energy constraint
Partha Chowdhury, Sanat K Biswas
https://arxiv.org/abs/2506.16606

Modeling the position and velocity distribution of space objects by maximizing entropy with energy constraint
In this work, we have developed a 6-dimensional joint probability density function for the 3-dimensional position and 3-dimensional velocity vectors of space objects in the Low Earth Orbit (LEO) based on the Principle of Maximum Entropy (MaxEnt), adhering to the principle of energy conservation. For the problem under consideration, maximizing entropy subject to energy conservation ensures that the derived probability density function (PDF) is the best representation of the uncertainty of a spac…

Research on Optimal Control Problem Based on Reinforcement Learning under Knightian Uncertainty
Ziyu Li, Chen Fei, Weiyin Fei
https://arxiv.org/abs/2506.13207

Research on Optimal Control Problem Based on Reinforcement Learning under Knightian Uncertainty
Considering that the decision-making environment faced by reinforcement learning (RL) agents is full of Knightian uncertainty, this paper describes the exploratory state dynamics equation in Knightian uncertainty to study the entropy-regularized relaxed stochastic control problem in a Knightian uncertainty environment. By employing stochastic analysis theory and the dynamic programming principle under nonlinear expectation, we derive the Hamilton-Jacobi-Bellman (HJB) equation and solve for the …

p-adic Ghobber-Jaming Uncertainty Principle
K. Mahesh Krishna
https://arxiv.org/abs/2506.18913 https://arxiv.org/pdf/2506.18913

p-adic Ghobber-Jaming Uncertainty Principle
Let $\{τ_j\}_{j=1}^n$ and $\{ω_k\}_{k=1}^n$ be two orthonormal bases for a finite dimensional p-adic Hilbert space $\mathcal{X}$. Let $M,N\subseteq \{1, \dots, n\}$ be such that \begin{align*} \displaystyle \max_{j \in M, k \in N}|\langle τ_j, ω_k \rangle|<1, \end{align*} where $o(M)$ is the cardinality of $M$. Then for all $x \in \mathcal{X}$, we show that \begin{align} (1) \quad \quad \quad \quad \|x\|\leq \left(\frac{1}{1-\displaystyle \max_{j \in M, k \in N}|\la…

Replaced article(s) found for cs.PF. https://arxiv.org/list/cs.PF/new
[1/1]:
- The Gittins Index: A Design Principle for Decision-Making Under Uncertainty
Ziv Scully, Alexander Terenin

GUP, Lorentz Invariance (Non)-Violation, and Non-Commutative Geometry
Michael Bishop, Daniel Hooker, Peter Martin, Douglas Singleton
https://arxiv.org/abs/2506.11219

GUP, Lorentz Invariance (Non)-Violation, and Non-Commutative Geometry
In this work, we formulate a generalized uncertainty principle with both position and momentum operators modified from their canonical forms. We study whether Lorentz symmetry is violated and whether it can be saved with these modifications. The requirement that Lorentz invariance is not violated places restrictions on the way the position and momentum operators can be modified. We also investigate the connection between general uncertainty principle and non-commutative geometry models, e.g.,la…

What are we talking about when we discuss the Born-Oppenheimer approximation?
Olimpia Lombardi, Sebastian Fortin, Juan Camilo Martinez Gonzalez, Hernan Lucas Accorinti
https://arxiv.org/abs/2507.12223

What are we talking about when we discuss the Born-Oppenheimer approximation?
Nick Huggett, James Ladyman, and Karim Thebault (HLT) have presented a comprehensive article examining the Born-Oppenheimer Approximation (BOA). Their central objective is to challenge our position on the matter-namely, that the BOA incorporates a classical assumption incompatible with the Heisenberg Uncertainty Principle. In contrast, HLT contend that the BOA involves no such classical assumption and, as a result, supports the view that chemistry can be reduced to physics. The purpose of this …

Van der Waals Black Holes: Universality, Quantum Corrections, and Topological Classifications
Ankit Anand, Saeed Noori Gashti
https://arxiv.org/abs/2507.21663 https://

Van der Waals Black Holes: Universality, Quantum Corrections, and Topological Classifications
In this paper, we investigate the universal extremality relation and thermodynamic topology of Van der Waals (VdW) black holes-solutions of Einstein's equations whose thermodynamic behavior closely resembles that of Van der Waals fluids. In the classical case, the black hole entropy obeys the Bekenstein-Hawking area law and satisfies the standard universality relation. We then incorporate quantum corrections using three distinct frameworks: the Generalized Uncertainty Principle (GUP), the Exten…

On the Impossibility of Obtaining Time-Independent, Three-Dimensional, Spherically-Symmetric Densities of Confined Systems of Relativistically Moving Constituents
Gerald A. Miller
https://arxiv.org/abs/2507.14388

On the Impossibility of Obtaining Time-Independent, Three-Dimensional, Spherically-Symmetric Densities of Confined Systems of Relativistically Moving Constituents
The quantum mechanical definition of probability, the uncertainty principle and Poincare invariance provide strong basic restrictions on the ability to define spatial densities associated with form factors describing the properties of confined systems of relativistically moving constituents. Despite this, many papers ignore one or more of these restrictions. Here I show how to obtain time-independent, two-dimensional densities that are consistent with the stated restrictions. This is done using…