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Logical inference leads to one of the major interpretations of probability theory called logical interpretation, in which the probability is seen as a measure of the plausibility of a logical statement under incomplete information. In this…

Quantum Physics · Physics 2022-01-03 Tsubasa Ichikawa

Everett's interpretation of quantum mechanics was proposed to avoid problems inherent in the prevailing interpretational frame. It assumes that quantum mechanics can be applied to any system and that the state vector always evolves…

Quantum Physics · Physics 2017-05-03 Louis Marchildon

Special relativity is most naturally formulated as a theory of space-time geometry, but within the space-time framework probability apears to be at best an epistemic notion - a matter of what can be known, not of the status of events in…

Quantum Physics · Physics 2007-05-23 Simon Saunders

The usual interpretational rule of quantum mechanics which states that outcomes do not occur when their weights are zero is changed so as to preclude outcomes with weights less than a small but positive value. With this "positive…

Quantum Physics · Physics 2010-03-30 Mark A. Rubin

The quantum-mechanical description of the world, including human observers, makes substantial use of entanglement. In order to understand this, we need to adopt concepts of truth, probability and time which are unfamiliar in modern…

Quantum Physics · Physics 2013-04-23 Anthony Sudbery

The linear mathematics of quantum mechanics gives many versions of reality instead of the single version we perceive, with the perceived version chosen at random according to a probability law. Because of these peculiarities, the theory…

Quantum Physics · Physics 2010-12-23 Casey Blood

I show that probabilities in quantum mechanics are a measure of belief in the presence of human ignorance, just like all other probabilities. The Born interpretation of the square of modulus of the wave function arises from the interaction…

Quantum Physics · Physics 2007-05-23 Frank J. Tipler

We analyse a proposition which considers quantum theory as a mere tool for calculating probabilities for sequences of outcomes of observations made by an Observer, who him/herself remains outside the scope of the theory. Predictions are…

Quantum Physics · Physics 2020-05-27 D. Sokolovski

In the many-worlds interpretations (MWIs) of Everett and others, if I am the observer, there are several versions of me but no version is singled out as the one corresponding to my perceptions. However, it can be shown that the probability…

Quantum Physics · Physics 2009-03-30 Casey Blood

This paper has been withdrawn by the author. In this short paper I introduce a concept of possibility in order to vindicate Everett's Theory of many worlds. The main idea is that there is only one world: the real. After the wave-collapse,…

Quantum Physics · Physics 2012-10-26 Davide Bondoni

Everett's interpretation of quantum mechanics was proposed to avoid problems inherent in the prevailing interpretational frame. It assumes that quantum mechanics can be applied to any system and that the state vector always evolves…

Quantum Physics · Physics 2017-05-03 Louis Marchildon

Recent accounts of probability in the many worlds interpretation of quantum mechanics are vulnerable due to their dependence on probability theory per se. For this reason, the many worlds interpretation continues to suffer from the…

Quantum Physics · Physics 2025-10-06 Michael Ridley

The interpretation of quantum mechanics is an area of increasing interest to many working physicists. In particular, interest has come from those involved in quantum computing and information theory, as there has always been a strong…

Quantum Physics · Physics 2023-04-21 Dominic Horsman

Conceptual problems in quantum mechanics result from the specific quantum concept of reality and require, for their solution, including the observer's consciousness into quantum theory of measurements. Most naturally this is achieved in the…

General Physics · Physics 2009-11-13 Michael B. Mensky

In a recently proposed interpretation of quantum mechanics, U. Mohrhoff advocates original and thought-provoking views on space and time, the definition of macroscopic objects, and the meaning of probability statements. The interpretation…

Quantum Physics · Physics 2015-06-09 Louis Marchildon

In a recent result, Frauchiger and Renner argue that if quantum theory accurately describes complex systems like observers who perform measurements, then "we are forced to give up the view that there is one single reality." Following a…

Quantum Physics · Physics 2018-04-11 Jeffrey Bub

This paper addresses the central question of what a coherent concept of probability might look like that would do justice to both classical probability theory, axiomatized by Kolmogorov, and quantum theory. At a time when quanta are…

History and Philosophy of Physics · Physics 2024-04-01 Christian Hugo Hoffmann

I present a proof of the quantum probability rule from decision-theoretic assumptions, in the context of the Everett interpretation. The basic ideas behind the proof are those presented in Deutsch's recent proof of the probability rule, but…

Quantum Physics · Physics 2007-05-23 David Wallace

QBism is currently one of the most widely discussed 'subjective' interpretations of quantum mechanics. Its key move is to say that quantum probabilities are personalist Bayesian probabilities and that the quantum state represents subjective…

History and Philosophy of Physics · Physics 2024-10-28 Philipp Berghofer

In this paper we attempt to analyze the concept of quantum probability within quantum computation and quantum computational logic. While the subjectivist interpretation of quantum probability explains it as a reliable predictive tool for an…

Quantum Physics · Physics 2019-03-12 Christian de Ronde , Hector Freytes , Giuseppe Sergioli