Tootfinder

Pretty amazing. And yet, the majority of Americans won’t see this story because the truth is paywalled but the bullshit is free. Which feels more and more to me like one of the world’s most important problems.
https://masto.ai/@Nonilex/114580574368958399

Higher regularity in nonlocal free boundary problems
Bego\~na Barrios, Xavier Ros-Oton, Marvin Weidner
https://arxiv.org/abs/2507.20581 https://arxiv.org/p…

Higher regularity in nonlocal free boundary problems
We study the higher regularity in nonlocal free boundary problems posed for general integro-differential operators of order $2s$. Our main result is for the nonlocal one-phase (Bernoulli) problem, for which we establish that $C^{2,α}$ free boundaries are $C^\infty$. This is new even for the fractional Laplacian, as it was only known in case $s=\frac12$. We also establish a general result for overdetermined problems, showing that if the boundary condition is smooth, then so is $\partialΩ$. Our…

Quantum master equation for nanoelectromechanical systems beyond the wide-band limit
Sofia Sevitz, Federico Cerisola, Janet Anders
https://arxiv.org/abs/2506.20593

Quantum master equation for nanoelectromechanical systems beyond the wide-band limit
Coupling the vibrations of an oscillator to electronic transport is a key building block for nanoelectromechanical systems. They describe many nanoscale electrical components such as molecular junctions. Inspired by recent experimental developments, we derive a quantum master equation that describes nanoelectromechanical systems in a generally overlooked situation: when the electronic transport is slower than the natural frequency of the oscillator. Here, a semi-classical model is no longer val…

niemals allein, immer gaymeinsam

Der Lieblingsmensch und ich haben am Samstag nach der Gegendemo unseren 22. Hochzeitstag gefeiert. Das ist witzig, weil ich davor dachte, dass ich niemals heiraten wollen würde.

Local d'Alembertian for causal sets
Mari\'an Bogu\~n\'a, Dmitri Krioukov
https://arxiv.org/abs/2506.18745 https://arxiv.o…

Local d'Alembertian for causal sets
Causal set theory is an intrinsically nonlocal approach to quantum gravity, inheriting its nonlocality from Lorentzian nonlocality. This nonlocality causes problems in defining differential operators -- such as the d'Alembert operator, a cornerstone of any relativistic field theory -- within the causal set framework. It has been proposed that d'Alembertians in causal sets must themselves be nonlocal to respect causal set nonlocality. However, we show that such nonlocal d'Alembertians do not con…

Non-autonomous problem for a $2m$-th order semilinear nonlocal parabolic equation
Flank D. M. Bezerra, Silvia Sastre-G\'omez
https://arxiv.org/abs/2507.20257 https://…

Non-autonomous problem for a $2m$-th order semilinear nonlocal parabolic equation
In this paper we consider a $2m$-th order non autonomous quasilinear parabolic equation. Under suitable conditions of growth and regularity for the nonlinear functions present in the model, we prove a result of existence and characterization of pullback attractors. Moreover, we consider an autonomous version from the $2m$-th order non autonomous quasilinear parabolic equation in question.

General many-body entanglement swapping protocol
Santeri Huhtanen, Yousef Mafi, Ali G. Moghaddam, Teemu Ojanen
https://arxiv.org/abs/2506.22430 https://

General many-body entanglement swapping protocol
Sharing entangled pairs between non-signaling parties via entanglement swapping constitutes a striking demonstration of the nonlocality of quantum mechanics and a crucial building block for future quantum technologies. In this work, we generalize pair-swapping methods by introducing a many-body entanglement swapping protocol, which allows two non-signaling parties to share general many-body states along an arbitrary partitioning. The shared many-body state retains exactly the same Schmidt vecto…

Certification of nonobjective information by Popescu-Rohrlich box fraction and distinguishing quantum theory
Chellasamy Jebarathinam
https://arxiv.org/abs/2507.21051 https://

Certification of nonobjective information by Popescu-Rohrlich box fraction and distinguishing quantum theory
It is demonstrated that identifying information-theoretic limitations of quantum Bell nonlocality alone cannot completely distinguish quantum theory from generalized nonsignaling theories. To this end, an information-theoretic concept of certifying nonobjective information by the Popescu-Rohrlich box fraction is employed. Furthermore, in the aforementioned demonstration, a partial answer to the question of what distinguishes quantum theory from generalized nonsignaling theories emerges beyond t…

Quantum nonlocality without entanglement and state discrimination measures
Shayeef Murshid, Tathagata Gupta, Vincent Russo, Somshubhro Bandyopadhyay
https://arxiv.org/abs/2506.20560

Quantum nonlocality without entanglement and state discrimination measures
An ensemble of product states is said to exhibit "quantum nonlocality without entanglement" if the states cannot be optimally discriminated by local operations and classical communication (LOCC). We show that this property can depend on the measure of state discrimination. We present a family of ensembles, each consisting of six linearly independent, equally probable product states for which LOCC fails to achieve optimal minimum-error discrimination but succeeds in achieving optimal unambiguous…