Timoore Spaces in Q Theory: Four Complementary Representations of Relational Structure

This paper presents Timoore spaces as a public exposition of selected components of Q Theory’s developed but protected mathematical formalism for describing objects, processes, observation, interaction, and higher-order relations. Four complementary representational languages are considered: circular diagrams, Qwadro relational diagrams, event-stream diagrams, and graph representations. The public existence schema U = A + B and U² = A² + B² + AB + BA is used as a relational notation whose full operator definitions and axioms belong to the non-public formalism. The paper therefore does not claim public proof of equivalence among the representations; instead, it identifies structural correspondences and the conditions under which mappings between them can be scientifically assessed. Applications to psychological and physical description are treated as structural analogies unless independently derived and validated.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-09
DOI
https://doi.org/10.5281/zenodo.23262350
Primary Topic
Philosophy and Theoretical Science
Type
preprint
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preprint

Timoore Spaces in Q Theory: Four Complementary Representations of Relational Structure

Piotr Tymochowicz, Roman Grelewicz
Zenodo (CERN European Organization for Nuclear Research)
Philosophy and Theoretical Science
preprint

Timoore Spaces in Q Theory: Four Complementary Representations of Relational Structure

Piotr Tymochowicz, Roman Grelewicz
preprint en

Abstract

This paper presents Timoore spaces as a public exposition of selected components of Q Theory’s developed but protected mathematical formalism for describing objects, processes, observation, interaction, and higher-order relations. Four complementary representational languages are considered: circular diagrams, Qwadro relational diagrams, event-stream diagrams, and graph representations. The public existence schema U = A + B and U² = A² + B² + AB + BA is used as a relational notation whose full operator definitions and axioms belong to the non-public formalism. The paper therefore does not claim public proof of equivalence among the representations; instead, it identifies structural correspondences and the conditions under which mappings between them can be scientifically assessed. Applications to psychological and physical description are treated as structural analogies unless independently derived and validated.

Zenodo (CERN European Organization for Nuclear Research)
Philosophy and Theoretical Science
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