Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

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 (doi: 10.20944/preprints202106.0056.v1). Şahi̇n, I. Comments on Indeterminism and Undecidability. Preprints 2021, 2021060056 (doi: 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}.

Subject Areas

Quantum probabilities; undecidability

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