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612 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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Numbers & p-adics papers 2 papers
Mathematicians. Valuation theory and the p-adic and adelic programme, Bruhat-Tits trees and ultrametric geometry as mathematics, Ostrowski's theorem, numeral and radix systems, primes, arithmetic and algebraic structures, zeta and gamma functions.
Stabilizer formalism. Stabilizer, decoder and code constructions Tagged papers: 34.
Why Vertices, Not Points? Vertex-Anchored Braiding, Stabilizer Arithmetic, and Displacement Gaps on Bruhat–Tits Buildings
Bruhat–Tits buildings are the canonical combinatorial-geometric objects attached to reductive groups over non-Archimedean local fields, and the recent QNFO constructions of p-adic braid groups [12], p-adic anyon models [13], and a p-adic Temperley–Lieb parameter [14] anchor their discrete braiding…
Standard-Deviation Normalization Proof
Let \((\Omega, \mathcal{F}, P)\)be a probability space, and let \(X\)be a real-valued random variable defined on this space, representing a physical observable. Assume \(X\)has a well-defined mean \(\mu = \mathbb{E}[X]\)and finite, positive variance \(\sigma^2 = \mathbb{E}[(X - \mu)^2] > 0\). Let…
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