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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.
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Results for “foundations” 4 papers
Replication. Reproducing or auditing a published claim Tagged papers: 36.
Operational Axioms Do Not Select the Standard Model: A Formal Audit of a Generalized-Probabilistic-Theory Reconstruction Conjecture
A conjecture in the foundations of physics holds that four operational axioms of generalized probabilistic theories (GPTs) — causality, no-signaling, local tomography, and continuous reversibility — extended to systems with infinitely many degrees of freedom, necessarily yield quantum field theory…
ODR Thesis: The Compton Count as the Only Primitive — A Five-Question Synthesis
The Ontological Distribution of Reality (ODR) framework identifies a particle with its Compton count \(N_C = m/m_P \in \mathbb{Q}^+\), a dimensionless rational number whose prime factorization assigns it a fixed vertex on the Bruhat–Tits tree. This paper synthesises five research questions into a…
Extending v_p^max Code Classification: Testing the Mahler Spectral Conjecture on Additional Stabilizer Code Families
The Number-Theoretic Ultrametric Foundations paper (the QNFO archive https://papers.qnfo.org/papers/number-theoretic-ultrametric-foundations/) conjectured that the 2-adic valuation spectrum (v_p^max) of a code's Mahler expansion discriminates optimal codes (v_p^max=28) from random codes (v_p^max=4)…
Scale-Divergence Problem
This document provides a rigorous examination of the Scale-Divergence Problem, a fundamental schism in modern cosmology that arises from the antithetical performance of the two leading theoretical frameworks—Lambda Cold Dark Matter (ΛCDM) and Modified Newtonian Dynamics (MOND)—across different…
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