Open research library
Papers you can read, cite and question
728 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.
Looking for an answer rather than a paper? Ask the whole corpus: answers cite the papers they come from.
Results for “topological” 12 papers
Category theory. Categories, functors and coalgebra Tagged papers: 38.
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…
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, with the spin-statistics theorem as its iron law. This paper argues that the dichotomy is a derived, dimension-dependent shadow of a single structural relation: the exchange phase of…
The Universe Category: A Single Functor Encoding Quantization, Stability, and Factorization
This paper proposes a single categorical object — a functor from the divisibility category of the positive integers to the category of smooth compact manifolds — and investigates whether its image simultaneously encodes three structures that have historically been treated as separate: quantization…
Quantum Laws of Form
*Quantum information is not intrinsically fragile; we have been measuring it incorrectly. This monograph presents a radical re‑foundation of physics based on George Spencer‑Brown’s Laws of Form, strictly adhered to and extended into a Syntactic Token Calculus (STC). The framework generates…
General Theory of Process
Modern science is currently fragmented into siloed disciplines—quantum mechanics, artificial intelligence, network science, and signal processing—each describing complex systems using disparate vocabularies. This manuscript proposes a general theory of process, asserting that these fields are not…
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.…
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…
Prime Numbers as Universal Optimization Primitives
The scholarly understanding of prime numbers is structured around four paradigms: quantum chaos, classical optimization, algorithmic information theory, and deterministic law. However, these paradigms are marked by unresolved tensions—dynamical, hierarchical, and methodological—that have hindered a…
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…
Biological and Engineered Computational Systems
This work establishes the categorical equivalence between biological and engineered computational systems through an explicit mathematical formalism. The central thesis posits that these seemingly disparate domains implement equivalent computational architectures, an equivalence that manifests…
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,…
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…
New papers by email
One short weekly digest: titles and links. No tracking; unsubscribe any time.