Simulation of Closed Timelike Curves in a...
URL: https://www.mdpi.com/2218-1997/9/2/64
Title: Simulation of Closed Timelike Curves in a Darwinian Approach to Quantum Mechanics
Author(s): Baladrón, C., Khrennikov, A.
DOI: https://doi.org/10.3390/universe9020064
Publication Date: 22 January 2023
Resource Type: Research paper
Format: Link
Working Group: WG1-WG3
Affiliation(s): 1) Departamento de Física Teórica, Atómica y Óptica, Universidad de Valladolid, 47011 Valladolid, Spain 2) International Center for Mathematical Modeling in Physics and Cognitive Science, Linnaeus University, SE 351 95 Växjö, Sweden
Access Status: Open
Keywords:
Description: Closed timelike curves (CTCs) are non-intuitive theoretical solutions of general relativity field equations. The main paradox associated with the physical existence of CTCs, the so-called grandfather paradox, can be satisfactorily solved by a quantum model named Deutsch-CTC. An outstanding theoretical result that has been demonstrated in the Deutsch-CTC model is the computational equivalence of a classical and a quantum computer in the presence of a CTC. In this article, in order to explore the possible implications for the foundations of quantum mechanics of that equivalence, a fundamental particle is modelled as a classical-like system supplemented with an information space in which a randomizer and a classical Turing machine are stored. The particle could then generate quantum behavior in real time in case it was controlled by a classical algorithm coding the rules of quantum mechanics and, in addition, a logical circuit simulating a CTC was present on its information space. The conditions that, through the action of evolution under natural selection, might produce a population of such particles with both elements on their information spaces from initial sheer random behavior are analyzed.
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