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Results for “topological” 4 papers

Teaching. Course and seminar material Tagged papers: 35.

  1. AI & knowledgerev 29 Oct 2026v1.0.0

    The Universal Ignorance Audit: A Fifteen-Question Method for Systematic Inquiry into the Structure of Not-Knowing

    The Universal Ignorance Audit is a fifteen-question, five-phase method for systematically interrogating the structure of not-knowing in any domain. Where conventional epistemic tools treat ignorance as an absence to be filled, the audit treats it as an active, structured state with architecture:…

  2. Physics

    Double Pendulum as a Topological Bridge

    The double pendulum serves as the paradigmatic model for the transition from integrability to chaos, yet its potential as a rigorous bridge between classical nonlinear dynamics and quantum open systems remains underutilized. By treating the system’s phase space as a topologically tiled manifold…

  3. Physics

    Topology of Quanta

    The historical development of quantum mechanics was marked by a profound bifurcation between physical intuition and mathematical formalism, a divergence often characterized as a category error that delayed the integration of topology into physics by nearly a century. This paper argues that the…

  4. Physicsrev 13 Sep 2026v2.0.0

    WINDING NUMBERS AND STRANGE LOOPS

    The historical preference for linear mathematical frameworks in physics represents a profound ontological oversight. This paper establishes that physical reality emerges not from linear foundations with circular corrections, but from circular/topological primitives with linear projections. The…

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