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611 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.
Replication. Reproducing or auditing a published claim Tagged papers: 27.
Kappa/SIIT Cross-Validation: Exact Reproduction of Standard Model 1-Loop β-Functions and Resolution of the Harmonic-Paradigm Tension
We report a direct mathematical cross-validation of the Kappa / Scale-Invariant Information Thermodynamics framework (Quni-Gudzinas, 2025, the QNFO archive 17218944/17230397) against the Standard Model's known 1-loop renormalization-group β-functions. Through the single definition…
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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