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.
Authors
- Alper Pektaş (ORCID: https://orcid.org/0009-0002-4669-3474)
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