Icefield, William (2020) Uncomputable UVcomplete theory and hidden variables interpretations beyond Bohmian particle mechanics. [Preprint]
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Abstract
When statistical models are used in social sciences, there is no presumption that actual reality is stochastic. Even if actual reality is deterministic, hidden and unobservable variables require a use of effective (in ordinary language, approximate) models, with number of variables potentially unrestricted. From the quantum reconstruction point of view, quantum mechanics can be interpreted as a statistical informationprocessing framework  therefore, the aforementioned view in social sciences can naturally be transported to quantum physics  this especially so given prevalent uses of effective theories. This naturally gives us the common framework behind hidden variables interpretations unconstrained by particular laws of deterministic motion. The measurement problem is cleanly identified as arising from missing hidden variables. However, hidden variables interpretations do not imply that a final UVcomplete theory of physics has to be usable  the theory may be uncomputable, with inability to generate predictions. In such a case, an infinite sequence of effective quantum theories would have to be used. Therefore, even if hidden variables interpretations are correct, supremacy of the orthodox quantum mechanics framework may be upheld, which is supported by a combination of quantum reconstruction and computational complexity arguments. This allows us to bypass considerable difficulties of hidden variables interpretations in satisfying Lorentz invariance. Connections to entropic gravity are then explored.
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Item Type:  Preprint  

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Keywords:  hidden variables interpretations of quantum mechanics, measurement problem, Bohmian mechanics, computable theory, effective theory, Lorentz invariance, quantum reconstruction, computational complexity, entropic gravity  
Subjects:  Specific Sciences > Physics > Quantum Gravity Specific Sciences > Physics > Quantum Field Theory Specific Sciences > Physics > Quantum Mechanics 

Depositing User:  William Icefield  
Date Deposited:  24 Jul 2020 03:10  
Last Modified:  24 Jul 2020 03:10  
Item ID:  17605  
Subjects:  Specific Sciences > Physics > Quantum Gravity Specific Sciences > Physics > Quantum Field Theory Specific Sciences > Physics > Quantum Mechanics 

Date:  21 July 2020  
URI:  https://philsciarchive.pitt.edu/id/eprint/17605 
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 Uncomputable UVcomplete theory and hidden variables interpretations beyond Bohmian particle mechanics. (deposited 24 Jul 2020 03:10) [Currently Displayed]
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