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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” 3 papers
Implications for Computing and Quantum Error Correction
The anchor paper introduced the branch-depth reading: the p-adic valuation $v_p(n)$ is a measure of depth along a prime branch of the integer factorization tree (not a measure of size), and because the tensor product multiplies Hilbert-space dimensions, $v_2(\dim H) = n$ counts tensor-branch depth…
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)…
Phase Transitions of Logic
The realization of fault-tolerant universal quantum computation is currently hindered by a fundamental dichotomy between substrate controllability and intrinsic robustness. This paper introduces the “Universal Hamiltonian Computational Substrate” (UHCS) framework to quantitatively compare two…
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