Can Gödel’s Incompleteness Theorems be used in Quantum Mechanics?

Saberi Fathi, Seyed Majid

doi:10.22096/ek.2020.123077.1210

Can Gödel’s Incompleteness Theorems be used in Quantum Mechanics?

Document Type : Research Article

Author

Seyed Majid Saberi Fathi

Associate Professor, Department of Physics and Research Center for Interdisciplinary Ontological Studies, Ferdowsi University of Mashhad, Khorasan Razavi, Iran.

10.22096/ek.2020.123077.1210

Abstract

Quantum Mechanics is the revolutionary theory that changes the structure of human thinking. From Einstein up to now , however , with its enormous successes in the world, there are many scientists that opposed it and denyed it as a complete theory . One of the ways to question the completeness of this theory is to use Gödel’s incompleteness theorems. Kurt Gödel, in his Ph. D. studied and just after working on the Hilbert’s completeness and consistency program in the formal systems, proved two important theorems which are known as the Gödel’s incompleteness theorems . These theorems deny Hilbert’s programs and the completeness of the formal system. Generalizing these theorems to the quantum theory is an over decades challenge in the foundations of physics. In this Paper , we explain the problem and we will discuss and critrize the possible usage of the Gödel’s incompleteness theorems on the quantum mechanics.

Keywords

The Gödel’s Incompleteness Theorems

Quantum Mechanics

Unpredictability

undecidebility

کتابنامه

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