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A nonlinear extension of Schr\"odinger's wave equation is proposed that ensures non-signaling by keeping linear the evolution of \textit{coordinate-diagonal} elements of the density matrix. The equation contains a negative kinetic energy…

Quantum Physics · Physics 2024-03-04 Tamás Geszti

The Schr\"odinger--Newton model is a semi-classical theory in which, in addition to mutual attraction, massive quantum particles interact with their own gravitational fields. While there are many studies on the phenomenology of single…

Models for quantum state reduction address the quantum measurement problem by suggesting weak modifications to Schr\"odinger's equation that have no observable effect at microscopic scales, but dominate the dynamics of macroscopic objects.…

Quantum Physics · Physics 2025-12-08 Aritro Mukherjee , Lisa Lenstra , Lotte Mertens , Jasper van Wezel

We present, and mathematically describe, a proof-of-principle quantum-optical experiment that seemingly enables superluminal signaling, contrary to the import of the 'no-signaling' theorem.

General Physics · Physics 2016-11-21 Demetrios A. Kalamidas

The theory of causal fermion systems is a recent approach to fundamental physics. Giving quantum mechanics, general relativity and quantum field theory as limiting cases, it is a candidate for a unified physical theory. The dynamics is…

Mathematical Physics · Physics 2019-09-25 Felix Finster

A physical theory of experiments carried out in a space-time region can accommodate a detector localized in another space-like separated region, in three, not necessarily exclusive, ways: 1) the detector formally collapses physical states…

Quantum Physics · Physics 2007-05-23 George Svetlichny

recent theoretical results show the existence of arbitrary speeds ($0\leq v <\infty$) solutions of the wave equations of mathematical physics. Some recent experiments confirm the results for sound waves. The question arises naturally: What…

General Relativity and Quantum Cosmology · Physics 2007-05-23 T. Matolcsi , W. A. Rodrigues

This monograph introduces the basic concepts of the theory of causal fermion systems, a recent approach to the description of fundamental physics. The theory yields quantum mechanics, general relativity and quantum field theory as limiting…

Mathematical Physics · Physics 2018-10-12 Felix Finster

Minkowski spacetime is a convenient setting for the study of the relativistic dynamics of particles and fields in the vacuum. In order to study events that occur in a dielectric or other linear medium, we adopt the familiar continuum…

Classical Physics · Physics 2009-02-27 Michael E. Crenshaw

On the basis of a variant of the EPR-Bohm example, we show that the no-signaling condition can be employed as a useful tool for deriving a constraint on a suitably defined measure of the `nonidealness' of a Stern-Gerlach(SG) setup. In this…

Quantum Physics · Physics 2015-05-13 Dipankar Home , Alok Kumar Pan

Causality is pivotal to our understanding of the world, presenting itself in different forms: information-theoretic and relativistic, the former linked to the flow of information, the latter to the structure of space-time. Leveraging a…

General Relativity and Quantum Cosmology · Physics 2026-04-13 Maarten Grothus , V. Vilasini

In an earlier paper the author expounded an interferometer scheme to communicate classical data over an entangled quantum channel. We return to this concept to show that the laws of Quantum Mechanics are not violated and that the device is…

General Physics · Physics 2011-06-14 R. O. Cornwall

We discuss how to embed quantum nonlocality in an approximately classical spacetime background, a question which must be answered irrespective of any underlying microscopic theory of spacetime. We argue that, in deterministic…

Quantum Physics · Physics 2009-01-01 Antony Valentini

In this thesis, we consider the properties of measurements in quantum theory and other operational theories. After having introduced the framework of operational theories, we consider a communication scheme based on an experimental…

Quantum Physics · Physics 2021-06-08 Leevi Leppäjärvi

Classical electrodynamics is reformulated in terms of wave functions in the classical phase space of electrodynamics, following the Koopman-von Neumann-Sudarshan prescription for classical mechanics on Hilbert spaces {\em sans} the…

Quantum Physics · Physics 2014-11-25 A. K. Rajagopal , Partha Ghose

More general probability sum-rules for describing interference than found in quantum mechanics (QM) were formulated by Sorkin in a hierarchy of such rules. The additivity of classical measure theory corresponds to the second sum-rule. QM…

Quantum Physics · Physics 2016-10-12 Karthik S. Joshi , R. Srikanth , Urbasi Sinha

The uncertainty principle limits quantum states such that when one observable takes predictable values there must be some other mutually unbiased observables which take uniformly random values. We show that this restrictive condition plays…

Quantum Physics · Physics 2014-08-12 Oscar C. O. Dahlsten , Andrew J. P. Garner , Vlatko Vedral

In this essay, we explore the limits imposed by the impossibility of superluminal signalling on the class of physically realisable quantum operations, focusing on the difference in approaches one can take towards this problem in Hilbert…

Mathematical Physics · Physics 2021-08-16 Tein van der Lugt

Operational contextuality forms a rapidly developing subfield of quantum information theory. However, the characterization of the quantum mechanical entities that fuel the phenomenon has remained unknown with many partial results existing.…

We argue that Anton Zeilinger's "foundational conceptual principle" for quantum mechanics according to which an elementary system carries one bit of information is an idealistic principle, which should be replaced by a realistic principle…

Quantum Physics · Physics 2022-03-29 Frederique Laurent , Francois-Igor Pris
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