The Hyperfactorization Theorem
Unique tower-atom decomposition in ZFC and Category τ.
Research Papers
Standalone scholarly papers carrying primary technical research contributions.
Research Papers
Research Papers are standalone scholarly papers carrying primary technical research contributions.
They are intended to state, prove, derive, or argue for original research claims in a paper-like scholarly format.
Current status. The first Research Papers batch is published with public PDF artifacts and final Zenodo DOI links.
First batch
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The Prime Polarity Theorem
Polarity structure on the primes inside the τ-architecture.
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The Split-Complex Boundary Algebra D
Construction of the split-complex boundary algebra D.
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τ-Holomorphy on the Boundary Algebra
τ-holomorphy as the operative condition on the boundary algebra.
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The τ-Topos and Its Four-Valued Internal Logic
The τ-topos and its associated four-valued internal logic.
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Address Resolution, Not Calculation
Reframing computational practice as address resolution rather than calculation.
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The τ-Kernel as Foundational Architecture
The τ-kernel positioned as foundational architecture.
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The Panta Rhei Foundational Bundle
Bundle memo gathering the eight hinge contributions.
Citation status
Cite each paper by title, authors, version, date, URL, and DOI. The detail pages above include the preferred citation sentence for each artifact.
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