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We present a uniform framework for the treatment of a large class of toy models of quantum theory. Specifically, we will be interested in theories of wavefunctions valued in commutative involutive semirings, and which give rise to some…

Quantum Physics · Physics 2017-04-18 Stefano Gogioso

QBism regards quantum mechanics as an addition to probability theory. The addition provides an extra normative rule for decision-making agents concerned with gambling across experimental contexts, somewhat in analogy to the double-slit…

Quantum Physics · Physics 2022-07-25 Christopher A. Fuchs , Maxim Olshanii , Matthew B. Weiss

Despite the tremendous empirical success of quantum theory there is still widespread disagreement about what it can tell us about the nature of the world. A central question is whether the theory is about our knowledge of reality, or a…

Quantum Physics · Physics 2019-06-10 Sally Shrapnel , Fabio Costa , Gerard Milburn

A theory of quantum jumps is developed by using a new asymmetric equation, which is complementary to the Schr\"odinger equation. The new equation displays Bohr's rules for quantum jumps, and its solutions demonstrate that once a quantum…

General Physics · Physics 2025-09-23 Z. E. Musielak

We construct the most general form of our previously proposed nonlinear extension of quantum mechanics that possesses three basic properties. Unlike the simpler model, the new version is not completely integrable, but it has an underlying…

Quantum Physics · Physics 2025-11-05 Alan Chodos , Fred Cooper

Starting with a consideration of the implication of Bell inequalities in quantum mechanics, a new quantum postulate is suggested in order to restore classical locality and causality to quantum physics: only the relative coordinates between…

General Physics · Physics 2023-02-22 Michael Spanner

Most physicists do not have patience for reading long and obscure interpretation arguments and disputes. Hence, to attract attention of a wider physics community, in this paper various old and new aspects of quantum interpretations are…

Quantum Physics · Physics 2017-10-26 H. Nikolic

Quantum mechanics and gravitation are two pillars of modern physics. Despite their success in describing the physical world around us, they seem to be incompatible theories. There are suggestions that one of these theories must be…

Quantum Physics · Physics 2015-05-19 Urbasi Sinha , Christophe Couteau , Thomas Jennewein , Raymond Laflamme , Gregor Weihs

We show that the quadratic measure need not be postulated, but follows from the compatibility of two structural features of physical processes: linear reversible evolution prior to the formation of persistent records, and multiplicative…

Quantum Physics · Physics 2026-04-10 Oskar Axelsson

The ontological aspect of Bohmian mechanics, as a hidden-variable theory that provides us with an objective description of a quantum world without observers, is widely known. Yet its practicality is getting more and more acceptance and…

Quantum Physics · Physics 2021-07-01 A. S. Sanz

We consider how the Born rule, a fundamental principle of quantum mechanics, can be tested for particles created on the shortest timescales ($\sim10^{-25}\,\mathrm{s}$) currently accessible at high-energy colliders. We focus on targeted…

High Energy Physics - Phenomenology · Physics 2026-01-05 Antony Valentini , Mira Varma

Probabilistic description of results of measurements and its consequences for understanding quantum mechanics are discussed. It is shown that the basic mathematical structure of quantum mechanics like the probability amplitudes, Born rule,…

Quantum Physics · Physics 2009-11-13 L. Skala , V. Kapsa

In a previous paper, we obtained the functional form of quantum potential by a quasi-Newtonian approach and without appealing to the wave function. We also described briefly the characteristics of this approach to the Bohmian mechanics. In…

Quantum Physics · Physics 2013-11-27 Mahdi Atiq , Mozafar Karamian , Mehdi Golshani

As contrasted with physicists to idolize Bell's theorem and quantum nonlocality, we argue that quantum mechanics (QM), in reality, respects the principles of a macroscopic realism (PMRs). The current QM to tell us that "... the state of a…

Quantum Physics · Physics 2007-09-20 N. L. Chuprikov

Quantum mechanics may be formulated as SENSIBLE QUANTUM MECHANICS (SQM) so that it contains nothing probabilistic, except, in a certain frequency sense, conscious perceptions. Sets of these perceptions can be deterministically realized with…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Don N. Page

Nelson's stochastic mechanics may be understood as a stochastic underpinning, or reconstruction, of nonrelativistic quantum mechanics, once the diffusion scale is fixed by $\hbar$ and the admissible states are restricted by the usual…

Quantum Physics · Physics 2026-04-09 Partha Ghose

We have recently developed a new understanding of probability in quantum gravity. In this paper we provide an overview of this new approach and its implications. Adopting the de Broglie-Bohm pilot-wave formulation of quantum physics, we…

General Relativity and Quantum Cosmology · Physics 2022-12-26 Antony Valentini

A physical experiment comprises along the time trajectory a start, a time evolution (duration), and an end, which is the measurement. In non relativistic quantum mechanics the start of the experiment is defined by the wave function at time…

Quantum Physics · Physics 2019-01-14 Roland Riek

In this paper, a modified formulation of generalized probabilistic theories that will always give rise to the structure of Hilbert space of quantum mechanics, in any finite outcome space, is presented and the guidelines to how to extend…

General Physics · Physics 2022-09-19 Raed M. Shaiia

We formulate a Born rule for families of quantum systems parametrized by a noncommutative space of control parameters. The resulting formalism may be viewed as a generalization of quantum mechanics where overlaps take values in a…

High Energy Physics - Theory · Physics 2017-01-27 Gregory W. Moore