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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 “p-adic” 3 papers
Teaching. Course and seminar material Tagged papers: 35.
Geometric Ratios as Generators of Hierarchical Structure: An Arithmetic Audit of π, φ, and e
A recurring conjecture in the ultrametric-physics program holds that hierarchical—i.e., ultrametric—structure "emerges" when a scale ratio q is set equal to a fundamental geometric constant: π, the golden ratio φ = (1+√5)/2, or Euler's number e. This paper converts that conjecture into falsifiable…
Frequency as Valuation Theory: The Rational Ratio at the Heart of Physical Law
Physics expresses frequency as a real number — 5.783 × 10^14 Hz, 1420.405751768 MHz. Yet in dimensionless Planck units (h = c = G = k_B = 1), frequency reduces to a ratio of two integers: count-of-oscillations per count-of-Planck-times. This is a rational number q = a/b in Q — not an Archimedean…
The RG-Harmonic Isomorphism: Synthesis of Eight Research Question Deliverables
This synthesis paper unifies eight research question (RQ) deliverables from the RG-Harmonic Isomorphism spinoff program (the QNFO archive https://papers.qnfo.org/papers), published July 2026 across five theoretical pillars and spanning 12 orders of magnitude in physical scale — from superconducting…
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