Tootfinder

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

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…

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…

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.