From Absoluteness to Finiteness, Projection and Logic
This paper introduces an infinite-dimensional tensor framework that formalizes the projection ofunconditioned, unbounded information spaces into bounded, observable logical states. By defininga universal top tensor 𝑇 across infinite topological domains and an epistemic projection operator𝑈𝑅, we demonstrate how continuous truth values, contextual falsifiability, and lossy projectionsemerge naturally as structural transformations. Furthermore, we resolve classical indeterminate 0 × ∞singularities, map physical conservation laws and logical operator families into invariant pullbacks,and demonstrate the self-referential reflexive closure of the metalanguage.
Authors
- Ünal Ulaş Yalincak
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2026-07-27
- DOI
- https://doi.org/10.5281/zenodo.21622054
- Primary Topic
- Topological and Geometric Data Analysis
- Type
- preprint