scholarly journals The rule of conditional probability is valid in quantum theory [Comment on Gelman & Yao's "Holes in Bayesian statistics"]

2020 ◽  
Author(s):  
PierGianLuca Porta Mana

In a recent manuscript, Gelman & Yao (2020) claim that "the usual rules of conditional probability fail in the quantum realm" and that "probability theory isn't true (quantum physics)" and purport to support these statements with the example of a quantum double-slit experiment. The present comment recalls some relevant literature in quantum theory and shows that (i) Gelman & Yao's statements are false; in fact, the quantum example confirms the rules of probability theory; (ii) the particular inequality found in the quantum example can be shown to appear also in very non-quantum examples, such as drawing from an urn; thus there is nothing peculiar to quantum theory in this matter. A couple of wrong or imprecise statements about quantum theory in the cited manuscript are also corrected.

2007 ◽  
Vol 4 (1) ◽  
pp. 7-16 ◽  
Author(s):  
Lionel R. Milgrom

The idea of quantum entanglement is borrowed from physics and developed into an algebraic argument to explain how double-blinding randomized controlled trials could lead to failure to provide unequivocal evidence for the efficacy of homeopathy, and inability to distinguish proving and placebo groups in homeopathic pathogenic trials. By analogy with the famous double-slit experiment of quantum physics, and more modern notions of quantum information processing, these failings are understood as blinding causing information loss resulting from a kind of quantum superposition between the remedy and placebo.


2021 ◽  
Author(s):  
Thuan Vo Van

Abstract The recent state-of-the-art double-slit experiments with single electrons and single photons seem to emphasize contradictable dilemma concerning the ontological physical reality in quantum physics. Because of the importance of this problem, we propose and perform another modified laser-beam asymmetrical double-slit experiment. In the results, a Feynman condition with closing mask allows to assess qualitatively the interference contributions of photons passing through one or another slit. Moreover, a definite "which-way" phenomenon has been identified with a high experimental confidence. This would be the simplest way without any disturbance of the photon beam to observe simultaneously both their path and momentum in consistency with the quantum statistical concept.


2009 ◽  
Vol 47 (5) ◽  
pp. 317-317
Author(s):  
Diane Riendeau

2016 ◽  
Vol 3 (1) ◽  
pp. 91
Author(s):  
Claude Elbaz

The Einstein’s program enables a theoretical economy for quantum double slit experiment, in its wave-particle duality behavior, with the unification of first and second quantifications for light and matter. It introduces a space-like amplitude function u(r,t), which completes the usual time-like functions ψ(r,t) of quantum mechanics and quantum fields. The Einstein’s program is founded upon a scalar field propagating at speed of light c. It forms a common relativist framework, for classical and quantum properties of matter and interactions. Matter properties derive from standing waves, and interactions from progressive waves. The classical domain arises in the geometrical optics approximation, when frequencies are infinitely high, and then hidden. The quantum domain corresponds to wave optics approximation. Adiabatic variations of frequencies yield electromagnetic interaction and dynamical laws of energy-momentum conservation and least action principle.


2015 ◽  
Vol 9 (3) ◽  
pp. 2470-2475
Author(s):  
Bheku Khumalo

This paper seeks to discuss why information theory is so important. What is information, knowledge is interaction of human mind and information, but there is a difference between information theory and knowledge theory. Look into information and particle theory and see how information must have its roots in particle theory. This leads to the concept of spatial dimensions, information density, complexity, particle density, can there be particle complexity, and re-looking at the double slit experiment and quantum tunneling. Information functions/ relations are discussed.


2015 ◽  
Vol 10 (2) ◽  
pp. 2692-2695
Author(s):  
Bhekuzulu Khumalo

Heat has often been described as part of the energy transfer process. Information theory says everything is information. If everything is information then what type of information is heat, this question can be settled by the double slit experiment, but we must know what we are looking for. 


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