Article
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Comments on Indeterminism and Undecidability
Version 1
: Received: 1 June 2021 / Approved: 2 June 2021 / Online: 2 June 2021 (09:02:05 CEST)
How to cite: Şahi̇n, I. Comments on Indeterminism and Undecidability. Preprints 2021, 2021060056. https://doi.org/10.20944/preprints202106.0056.v1 Şahi̇n, I. Comments on Indeterminism and Undecidability. Preprints 2021, 2021060056. https://doi.org/10.20944/preprints202106.0056.v1
Abstract
In a recent paper \cite{Landsman1}, it has been claimed that the outcomes of a quantum coin toss which is idealized as an infinite binary sequence is {\it 1-random}. We also defend the correctness of this claim and assert that the outcomes of quantum measurements can be considered as an infinite {\it 1-random} or {\it n-random} sequence. In this brief note we present our comments on this claim. We have mostly positive but also some negative comments on the arguments of the paper \cite{Landsman1}. Furthermore, we speculate a logical-axiomatic study of nature which we believe can intrinsically provide quantum mechanical probabilities based on {\it 1(n)-randomness}.
Keywords
Quantum probabilities; undecidability
Subject
Physical Sciences, Quantum Science and Technology
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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