Addendum - A reformulation of Schrödinger and Dirac equations in terms of observable local densities and electromagnetic fields : a step towards a new interpretation of quantum mechanics ?

1984 ◽  
Vol 45 (2) ◽  
pp. 383-383
Author(s):  
J. des Cloizeaux
2005 ◽  
Vol 36 (1) ◽  
pp. 1-34 ◽  
Author(s):  
OLIVAL FREIRE

ABSTRACT In the early 1950s the American physicist David Bohm (1917-1992) produced a new interpretation of quantum mechanics and had to flee from McCarthyism. Rejected at Princeton, he moved to Sãão Paulo. This article focuses on the reception of his early papers on the causal interpretation, his Brazilian exile, and the culture of physics surrounding the foundations of quantum mechanics. It weighs the strength of the Copenhagen interpretation, discusses the presentation of the foundations of quantum mechanics in the training of physicists, describes the results Bohm and his collaborators achieved. It also compares the reception of Bohm's ideas with that of Hugh Everett's interpretation. The cultural context of physics had a more significant influence on the reception of Bohm's ideas than the McCarthyist climate.


1999 ◽  
Vol 10 (01) ◽  
pp. 29-62 ◽  
Author(s):  
GERMANO RESCONI ◽  
GEORGE J. KLIR ◽  
ELIANO PESSA

Recognizing that syntactic and semantic structures of classical logic are not sufficient to understand the meaning of quantum phenomena, we propose in this paper a new interpretation of quantum mechanics based on evidence theory. The connection between these two theories is obtained through a new language, quantum set theory, built on a suggestion by J. Bell. Further, we give a modal logic interpretation of quantum mechanics and quantum set theory by using Kripke's semantics of modal logic based on the concept of possible worlds. This is grounded on previous work of a number of researchers (Resconi, Klir, Harmanec) who showed how to represent evidence theory and other uncertainty theories in terms of modal logic. Moreover, we also propose a reformulation of the many-worlds interpretation of quantum mechanics in terms of Kripke's semantics. We thus show how three different theories — quantum mechanics, evidence theory, and modal logic — are interrelated. This opens, on one hand, the way to new applications of quantum mechanics within domains different from the traditional ones, and, on the other hand, the possibility of building new generalizations of quantum mechanics itself.


2020 ◽  
Vol 57 (4) ◽  
pp. 199-216
Author(s):  
Alexander A. Pechenkin ◽  

A new interpretation of quantum mechanics, the interpretation which became popular in XXI, has been taken under consideration. This is the quantum baysinism (QBism) which may be taken as an extrapolation of the baysian philosophy of probability over the interpretation of quantum mechanics. The baysian philosophy of quantum mechanics has been compared with the Copenhagen interpretation of quantum mechanics, the interpretation which can been treated as standard as it is represented in the main textbooks. In contrast to the Copenhagen interpretation which proceeds from the triplets – nature, apparatus and observer (agent), QBism emphasizes the conscious of the observer: the quantum state is the observer’s state, and by means of the quantum conceptual technique the observer constructs his/her own image of quantum processes. By means of measurement the observer updates his/her quantum state, the measuring apparatus being an extension of the observer’s sensuality. From the point of the QBism’s view the phenomenon of decoherence which is widely discussed in the contemporary literature is not essential for the theory of measurement in quantum mechanics. The decoherence explains why the macroscopic phenomena don’t expose the interference behavior which is characteristic for quantum superposition. From the historicо-philosophical point of view Qbism can be traced back to American instrumentalism and operationalism.


2011 ◽  
Vol 20 (05) ◽  
pp. 909-918 ◽  
Author(s):  
RODOLFO GAMBINI ◽  
LUIS PEDRO GARCÍA-PINTOS ◽  
JORGE PULLIN

In recent papers we put forth a new interpretation of quantum mechanics, colloquially known as "the Montevideo interpretation". This interpretation is based on taking into account fundamental limits that gravity imposes on the measurement process. As a consequence one has that situations develop where a reduction process is undecidable from an evolution operator. When such a situation is achieved, an event has taken place. In this paper we sharpen the definition of when and how events occur; more precisely we give sufficient conditions for the occurrence of events. We probe the new definition in an example. In particular we show that the concept of undecidability used is not "FAPP" (for all practical purposes), but fundamental.


2018 ◽  
Author(s):  
John joseph Taylor

An interpretation of quantum mechanics involving multiple dimensions is proposed, as well as a thought experiment that in principle if performed correctly could either prove or disprove quantum randomness. All outcomes, of a particle’s wave function manifest but manifest in more than three dimensions, and when the wave function collapses, we see the outcome of the wave function, which only exist in three dimensions. Furthermore, a particle is a much larger object, and exists physically as a wave across more than three dimensions and our best description of this is the Schrodinger wave, because it only describes it in three dimensions. We cannot observe the particle as a wave because it is spread out as an object in which most of it exists in more than three dimensions, but when we observe the part or outcome of a wave function that does exist in three dimensions, which is when collapse occurs it leads to particle like properties, due to not being able to interact with the rest of the wave because it is confined to just interacting on a three dimensional scale because we are observing it in three dimensions. Furthermore we cannot observe the part of the wave function that exists in more than three dimensions, in three dimensions because of the principle that in order to observe an object in it's entirety it needs to be observed in all of it's dimensions. Strange phenomenon in quantum mechanics such as tunneling, can be explained by saying that there is a probability of finding the part of wave function that exists in three dimensions on the other side of the barrier, which has travelled over that barrier classically and the probability of it travelling over the barrier decreases expontentially to the width of the barrier increasing. Whether the quantum world is random, or is determined by non-local hidden variables, can be determined by a simple deductive thought experiment as outlined in this article.


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