QNFO Papers

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710 papers from the QNFO program, filed on nine shelves by the reader each one is written for: energy per answer, error correction, physics, numbers and p-adics, logic and formalism, AI and knowledge, autonomous systems, assessments, and cross-cutting essays. Every page renders its mathematics and can be questioned in place. How a living paper works.

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Physics papers 12 papers

Physicists. Quantum mechanics and its foundations, qubit and device physics, decoherence and leakage, entanglement, anyons and topological matter, superconductivity, thermodynamics of physical systems, spacetime, cosmology and quantum biology.

Category theory. Categories, functors and coalgebra Tagged papers: 38.

  1. Physicsv1.0.1

    Global Coherence Constraints in a Web of Measurement Contexts: A Categorical Model, Trilemma, and Empirical Illustration

    Contemporary quantum‑foundational research and immersive augmented/virtual reality (AR/VR) systems both require the reconciliation of measurement data obtained in heterogeneous contexts. Existing practice either assumes a hidden, context‑independent state or tolerates incoherent cross‑context data,…

  2. Physics

    Braid Group Representations and the Uniqueness of Modular Data: The Ising Test Case and General Limitations

    We investigate whether the unitary braid group representation carried by a collection of non‑Abelian anyons uniquely determines the modular data—namely the $S$ and $T$ matrices—of the underlying modular tensor category (MTC). Using the Ising anyon theory as a concrete laboratory, we reconstruct the…

  3. Physics

    A Two-Index Framework for the Bulk-Boundary Correspondence of Anyon Condensation and Boundary Majorana Statistics

    The bulk-boundary correspondence asserts that topological data of a (2+1)-dimensional phase determine the physics of its boundary, but in the setting of anyon condensation the correspondence is usually stated structurally rather than quantitatively. We propose a set of computable indices that…

  4. Physicsv1.6.0

    The Boson/Fermion Distinction: Spin-Statistics as Structural Invariant

    The textbook dichotomy between bosons and fermions is commonly presented as a primitive classification of nature. This paper argues that the dichotomy is a derived, dimension-dependent shadow of a single structural relation: the exchange phase of identical particles equals their topological spin, R…

  5. 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.…

  6. Physics

    Stability Compiler

    The modeling of fundamental entities as zero-dimensional points creates singularities across physics and network engineering. Current regularization methods like renormalization are procedural patches that fail to explain the origin of finite scales. This paper introduces the topological extension…

  7. Physics

    Universal Hamiltonian as Process Verb

    The ontological status of quantum mechanics remains suspended between two mutually exclusive grammatical categories: the continuous, reversible “Verb” of unitary evolution and the discrete, irreversible “Noun” of the measured state. This paper reconciles this tension by mapping the physics of…

  8. 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…

  9. Physics

    Functorial Framework for Morphological Computing

    This work introduces a formal framework for morphological computing that resolves the longstanding reconstruction paradox in Residue Number System (RNS) arithmetic by leveraging the physics of topological quantum matter. Conventional RNS-based accelerators are bottlenecked by the serial,…

  10. Physics

    Derivation of SM Gauge Couplings

    Objective: To derive the relationship between the Standard Model’s gauge couplings and the Kappa information field (\(\kappa(x)\)) using a self-contained, category-theoretic approach based on the principle of scale-invariant information thermodynamics. This derivation establishes that effective…

  11. Physics

    Derivation of Einstein from Thermodynamics

    Objective: To derive the Einstein field equations of general relativity from thermodynamic principles applied to local causal horizons, framed within the category-theoretic language of scale-invariant relationships. This derivation formalizes the physical argument of Jacobson (1995) and demonstrates…

  12. Physics

    Monistic Reality

    This paper presents a monistic reality framework that unifies fundamental physics, consciousness, and collective intelligence within a single mathematical architecture. This framework posits that reality is fundamentally a pre-geometric informational substrate structured as a Hamiltonian…

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