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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 6 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.
Metrology. Sensing, Fisher information and precision Tagged papers: 35.
Frequencies of Events in the Actual World: A Reconciled Cross-Domain Framework with Explicit Arithmetic
Every empirical discipline counts events, but the practice of measuring event frequencies is fragmented across fields that rarely compare methods. This paper develops a cross-domain framework for event-frequency observation in the actual world, organized around three questions: what counts as an…
The History and Future of Measurement Stratigraphy, Number Theory, and Valuation Theory
[We propose a unified framework — the Stratigraphy of Measurement — that reinterprets the history of number systems as a sequence of expanding distinction operations. Each era adds a new enclosure: marking ($\\mathbb{N}$), comparing ratios ($\\mathbb{Q}$), convergent sequences ($\\mathbb{R}$_comp),…
Non-Anthropocentric Natural Units: From the Bekenstein Bound to Ostrowski's Theorem
We strip away all anthropocentric constructions from the Bekenstein-Hawking entropy bound. Area as dimensionless geometric invariant; exponential bound defined without logarithmic base; integer Hilbert space dimension as universal invariant. Ostrowski's theorem reveals the Archimedean completion is…
Anthropometric Fossils: A Systematic Catalog of Human Cognitive Imprints in the International System of Units
Systematic catalog of cognitive features in all seven SI base units. 2019 redefinition audit. Counterfactual unit systems for non-human observers. Full cognitive genealogy appendix.
The Decryption Key: Cognitive Architecture as the Hidden Radix of Physical Measurement
Traces each SI base unit to a specific feature of human cognitive architecture. Proposes the adelic product formula as genuinely observer-independent invariant. Sixth Pillar of QNFO Grand Synthesis.
Base-Invariant Number-Theoretic Patterns in Fundamental Constants
This presents a systematic, first‑principles investigation of the mathematical structures that underlie fundamental constants, freed from the arbitrariness of numeral‑system representation. By focusing exclusively on properties that are independent of any choice of base we uncover striking patterns…
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