Alpha and Equality in the Architecture of the Void

This article proves that the equals sign does not, or has the potential to not, carry a trace of the past. α, on the other hand, only shows the path as a change in this situation. The path and the result give us the process. α is subject to constraints because the equals sign is free. Since α must remain as it is, it does not accept multiplication by the integer 0, as this risks erasing its past. It establishes a rule that is not present in the normal equals sign and introduces the 0/0 condition. Normally this cannot happen, but since α and the equals sign have different purposes, their rules are also different. So α is actually the case where the equals sign is defined as 0/0. In this case, we obtain the past. If 0/0 is applied, we are in the past.

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Publication Details

Journal
Figshare
Published
2026-10-27
DOI
https://doi.org/10.6084/m9.figshare.34805706
Primary Topic
History and Theory of Mathematics
Type
preprint
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preprint

Alpha and Equality in the Architecture of the Void

Alper Pektaş
1 links
Figshare
History and Theory of Mathematics
preprint

Alpha and Equality in the Architecture of the Void

Alper Pektaş
preprint en

Abstract

This article proves that the equals sign does not, or has the potential to not, carry a trace of the past. α, on the other hand, only shows the path as a change in this situation. The path and the result give us the process. α is subject to constraints because the equals sign is free. Since α must remain as it is, it does not accept multiplication by the integer 0, as this risks erasing its past. It establishes a rule that is not present in the normal equals sign and introduces the 0/0 condition. Normally this cannot happen, but since α and the equals sign have different purposes, their rules are also different. So α is actually the case where the equals sign is defined as 0/0. In this case, we obtain the past. If 0/0 is applied, we are in the past.

Figshare
History and Theory of Mathematics
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