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

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
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
preprint

From Absoluteness to Finiteness, Projection and Logic

Ünal Ulaş Yalincak
Zenodo (CERN European Organization for Nuclear Research)
Topological and Geometric Data Analysis
preprint

From Absoluteness to Finiteness, Projection and Logic

Ünal Ulaş Yalincak
preprint en

Abstract

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.

Zenodo (CERN European Organization for Nuclear Research)
Life in Land
Topological and Geometric Data Analysis
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

From Absoluteness to Finiteness, Projection and Logic — Ünal Ulaş Yalincak · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS