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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

It is fair to say that the deepest mystery in our understanding of nature is the birth of our universe. Much of the dilemma over the last decades comes from the extraordinarily small probability that the universe started with the high…

High Energy Physics - Theory · Physics 2008-09-25 Laura Mersini-Houghton

The present form of quantum mechanics is based on the Copenhagen school of interpretation. Einstein did not belong to the Copenhagen school, because he did not believe in probabilistic interpretation of fundamental physical laws. This is…

Quantum Physics · Physics 2009-09-29 Y. S. Kim , Marilyn E. Noz

Initially proposed by Martin Gardner in the 1950s, the famous two-children problem is often presented as a paradox in probability theory. A relatively recent variant of this paradox states that, while in a two-children family for which at…

Probability · Mathematics 2023-01-18 Davy Paindaveine , Philippe Spindel

I comment briefly on derivations of the Born rule presented by Masanes et al. and by Hossenfelder.

Quantum Physics · Physics 2021-03-19 Blake C. Stacey

We raise the issue whether conventional quantum mechanics, which is not a hidden variable theory in the usual Jauch-Piron's sense, might nevertheless be a hidden variable theory in the sense recently conjectured by G. 't Hooft in his…

Quantum Physics · Physics 2009-07-24 Massimo Blasone , Petr Jizba , Fabio Scardigli

We compare and contrast two distinct approaches to understanding the Born rule in de Broglie-Bohm pilot-wave theory, one based on dynamical relaxation over time (advocated by this author and collaborators) and the other based on typicality…

Quantum Physics · Physics 2020-12-08 Antony Valentini

Nonlinear modifications of quantum mechanics have a troubled history. They were initially studied for many promising reasons: resolving the measurement problem, testing the limits of standard quantum mechanics, and reconciling it with…

Quantum Physics · Physics 2017-09-25 Bassam Helou , Yanbei Chen

Schrodinger path to the quantum mechanical wave equation was heuristic and guided more by physical intuition than formal deduction. Here we derive the Schrodinger equation for the particle wave function, assuming that it has a meaning of…

Quantum Physics · Physics 2026-04-23 Wenzhuo Zhang , Anatoly Svidzinsky

Quantum decision theory is introduced here, and new basis for this theory is proposed. It is first based upon the author's general arguments for the Hilbert space formalism in quantum theory, next on arguments for the Born rule, that is,…

Quantum Physics · Physics 2026-02-13 Inge S. Helland

In this paper I present a thought experiment that gives different results depending on whether or not the wavefunction collapses. Since the wavefunction does not obey the Schrodinger equation during the collapse, conservation laws are…

Quantum Physics · Physics 2020-10-29 Sivapalan Chelvaniththilan

A central feature in the Copenhagen interpretation is the use of classical concepts from the outset. Modern developments show, however, that the emergence of classical properties can be understood within the framework of quantum theory…

Quantum Physics · Physics 2007-05-23 Claus Kiefer

The non-relativistic quantum theory has been interpreted causally by de Broglie, David Bohm, and others, where a quantum entity is viewed as a particle with a definite position and momentum. This interpretation opposes the Copenhagen…

Quantum Physics · Physics 2025-10-28 A. N. Khondker

The emergence of quantum theory in the early decades of the twentieth century was accompanied by a wide range of popular science books, all of which presented in words and in images new scientific ideas about the structure of the atom. The…

History and Philosophy of Physics · Physics 2011-12-13 Helge Kragh , Kristian Hvidtfelt Nielsen

The original Schrodinger's paper is translated and annotated in honour of the 70-th anniversary of his Uncertainty Relation [published also in: Bulg. Journal of Physics,vol.26,no.5/6 (1999) pp.193-203]. In the annotation it is shown that…

Quantum Physics · Physics 2008-05-23 annotated by A. Angelow , M. -C. Batoni

The Born Rule plays a critical role in quantum mechanics (QM) since it supplies the link between the mathematical formalism and experimental results in terms of probabilities. The Born Rule does not occur in ordinary probability theory.…

Quantum Physics · Physics 2024-10-08 David Ellerman

Suppose that particle detectors are placed along a Cauchy surface $\Sigma$ in Minkowski space-time, and consider a quantum theory with fixed or variable number of particles (i.e., using Fock space or a subspace thereof). It is…

Mathematical Physics · Physics 2020-03-27 Matthias Lienert , Roderich Tumulka

The Bohr--Einstein debate is one of the more remarkable protracted intellectual exchanges in the history of physics. Its influence has been lasting: One of the few clear patterns in a 2013 survey about quantum foundations was that the…

Quantum Physics · Physics 2020-04-02 Blake C. Stacey

The Born rule postulates that the probability of measurement in quantum mechanics is related to the squared modulus of the wave function $\psi$. We rearrange the equation for energy eigenfunctions to define the energy as the real part of…

Quantum Physics · Physics 2021-10-19 Nikodem Popławski , Michael Del Grosso

The causal interpretation of quantum mechanics, as originally stated by deBroglie and Bohm, had several attractive features. Among these is the possibility that it could address some of the most fundamental questions on quantum phenomena.…

Quantum Physics · Physics 2007-05-23 R. H. Parmenter , Andrew L. DiRienzo