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Recent results suggest that quantum mechanical phenomena may be interpreted as a failure of standard probability theory and may be described by a Bayesian complex probability theory.

Quantum Physics · Physics 2007-05-23 Saul Youssef

Bohmian mechanics is a realistic interpretation of quantum theory. It shares the same ontology of classical mechanics: particles following continuous trajectories in space through time. For this ontological continuity, it seems to be a good…

Quantum Physics · Physics 2016-03-11 Davide Romano

We show that there is no real difference between mathematical models of quantum mechanics and classical mechanics concerning integrable dynamical systems because the main difference between them results from their different interpretations.

General Physics · Physics 2021-06-11 F. Ghaboussi

Where does quantum mechanics part ways with classical mechanics? How does quantum randomness differ fundamentally from classical randomness? We cannot fully explain how the theories differ until we can derive them within a single axiomatic…

Quantum Physics · Physics 2017-11-07 Agung Budiyono , Daniel Rohrlich

The foundational ideas of quantum mechanics continue to give rise to counterintuitive theories and physical effects that are in conflict with a classical description of Nature. Experiments with light at the single photon level have…

Quantum Physics · Physics 2015-01-16 Peter Shadbolt , Jonathan C. F. Matthews , Anthony Laing , Jeremy L. O'Brien

The equivalence principle can be tested by precision experiments based on classical and quantum systems, on the ground as well as in space. In many models, these tests are mostly equivalent in their ability to constrain physics beyond the…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Michael Hohensee , Holger Mueller

Bohm Mechanics and Nelson Stochastic Mechanics are confronted with Quantum Mechanics in presence of non-interacting subsystems. In both cases, it is shown that correlations at different times of compatible position observables on stationary…

Quantum Physics · Physics 2009-11-07 M. Correggi , G. Morchio

We investigate bounds on decoherence in quantum mechanics by studying $B$ and $D$-mixing observables, making use of many precise new measurements, particularly from the LHC and B factories. In that respect we show that the stringent bounds…

High Energy Physics - Phenomenology · Physics 2016-05-03 Alexander Lenz , David Hodges , Daniel Hulme , Sandra Kvedaraite , Jack Richings , Jian Shen Woo , Philip Waite

The postulates of von Neumann and L\"uders concerning measurements in quantum mechanics are discussed and criticized in the context of a simple model proposed by Gisin. The main purpose of our paper is to analyze some mathematical aspects…

Quantum Physics · Physics 2022-12-07 Jürg Fröhlich , Zhou Gang

We outline how Bohmian mechanics works: how it deals with various issues in the foundations of quantum mechanics and how it is related to the usual quantum formalism. We then turn to some objections to Bohmian mechanics, for example the…

Quantum Physics · Physics 2007-05-23 Detlef Dürr , Sheldon Goldstein , Nino Zangh\`ı

The spectacular successes of quantum physics have made it a commonplace to assert that we live in a quantum world. This idea seems to imply a kind of "quantum fundamentalism" according to which everything in the universe (if not the…

History and Philosophy of Physics · Physics 2016-03-02 Henrik Zinkernagel

The procedure used to "do physics" in the macroscopic world is familiar: You take an object, start it off with a particular position and velocity, subject it to known forces (say gravity or friction, or both), and follow its trajectory. You…

History and Philosophy of Physics · Physics 2018-10-01 M. A. Reynolds

In this work, we reveal a new type of impossibility discovered in our recent research which forbids comparing the closeness of multiple unknown quantum states with any non-trivial threshold in a perfect or an unambiguous way. This…

Quantum Physics · Physics 2015-05-30 Shengshi Pang , Shengjun Wu , Zeng-Bing Chen

Quantum mechanics is the most successful theory to describe microscopic phenomena. It was derived in different ways over the past 100 years by Heisenberg, Schr\"{o}dinger, and Feynman. At the same time, other interpretations have been…

Quantum Physics · Physics 2025-12-15 Pedro Luis Grande , Raul Carlos Fadanelli , Maarten Vos

Bohmian mechanics can be generalized to a relativistic theory without preferred foliation, with a price of introducing a puzzling concept of spacetime probability conserved in a scalar time. We explain how analogous concept appears…

Quantum Physics · Physics 2013-10-01 H. Nikolic

Consciousness and quantum mechanics are among the most puzzling phenomena studied in the sciences. Some scholars suggest they are related, though others think this claim commits a "minimization of mystery" fallacy. The aim of this…

Quantum Physics · Physics 2026-04-17 John B. DeBrota , Christian List

In recent years there has been a resurgence of interest in Bohmian mechanics as a numerical tool because of its local dynamics, which suggest the possibility of significant computational advantages for the simulation of large quantum…

Quantum Physics · Physics 2009-11-13 Yair Goldfarb , Ilan Degani , David J. Tannor

Analysis of the logical foundations of quantum mechanics indicates the possibility of constructing a theory using quaternionic Hilbert spaces. Whether this mathematical structure reflects reality is a matter for experiment to decide. We…

Quantum Physics · Physics 2015-06-26 S. P. Brumby , G. C. Joshi

In a recent paper Griffiths claims that the consistent histories interpretation of quantum mechanics gives rise to results that contradict those obtained from the Bohm interpretation. This is in spite of the fact that both claim to provide…

Quantum Physics · Physics 2007-05-23 B. J. Hiley , O. J. E. Maroney

Quantum mechanics is strictly incompatible with local realism. It has been shown by Bell and others that it is possible, in principle, to experimentally differentiate between local realism and quantum mechanics. Numerous experiments have…

Quantum Physics · Physics 2018-05-24 Patrick Fraser , Barry Sanders