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Results for “topological” 4 papers

Research operations. Fleets, pipelines and provenance Tagged papers: 44.

  1. Cross-cutting essaysrev 14 Sep 2026v2.0.0

    The Adelic Physics Program: A Grand Synthesis

    Six papers, one thesis: Physics is adelic. The Archimedean (real-number) description is the $\infty$-place readout of a richer ultrametric structure defined over the p-adic completions of $\mathbb{Q}$. Ostrowski's theorem — which classifies all non-trivial completions of the rational numbers as…

  2. Physics

    Process Ontology and Hydrodynamic Vacuum

    Standard cosmological models face a foundational epistemic crisis at the Big Bang singularity, where the geometric description of General Relativity breaks down. This paper proposes a unified framework integrating Whiteheadian Process Philosophy with the hydrodynamics of a “stiff” superfluid vacuum.…

  3. Numbers & p-adics

    UNIFIED FIBER BUNDLE FORMALISM FOR THE HOPF FIBRATION

    The history of theoretical physics is punctuated by the discovery of mathematical structures that appear with startling ubiquity across disparate scales and domains. From the simple harmonic oscillator describing both planetary orbits and quantum fields to the pervasive role of symmetry groups,…

  4. Physics

    Topological Extension Hypothesis

    Scientific modeling often relies on zero-dimensional point approximations, leading to mathematical singularities and empirical anomalies when resolution increases. Existing solutions like renormalization are procedural patches that fail to address the underlying ontological error across disparate…

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