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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 “topological” 6 papers
Laws of Form. Spencer-Brown, re-entry, calculus of indications Tagged papers: 50.
Golden Ratio as the Unique Positive Eigenvalue of a Two‑Step Re‑Entry Operator and Its Physical Resonance Implications
Accurate prediction of spacecraft re‑entry trajectories remains a critical operational challenge for satellite operators and space agencies, as limited radar tracking and sparse measurement data can induce large uncertainties in ballistic‑coefficient estimation. Existing re‑entry models rely on…
The Exchange Phase as a Logical Scalar: R = e^(2 pi i s) from the Re-Entrant Calculus
The boson/fermion dichotomy is conventionally presented as a primitive classification of nature. Recent work established that the underlying invariant is the relation between the exchange phase of identical particles and their topological spin, R = e^{2πis}, with the dichotomy as its shadow in three…
Computational Syntax of Reality
The persistent reliance on continuous, substance-based ontologies in theoretical physics has precipitated a crisis of non-renormalizable infinities, demanding a radical shift toward discrete relational foundations. By shifting to an epistemic foundation built entirely on a finite substrate of…
Quantum Laws of Form
*Quantum information is not intrinsically fragile; we have been measuring it incorrectly. This monograph presents a radical re‑foundation of physics based on George Spencer‑Brown’s Laws of Form, strictly adhered to and extended into a Syntactic Token Calculus (STC). The framework generates…
WINDING NUMBERS AND STRANGE LOOPS
The historical preference for linear mathematical frameworks in physics represents a profound ontological oversight. This paper establishes that physical reality emerges not from linear foundations with circular corrections, but from circular/topological primitives with linear projections. The…
Strange Loop Formal Derivation
This paper presents a rigorous mathematical derivation of the Standard Model of particle physics as the unique, stable solution to a universal fixed-point equation. Starting from the Principle of Informational Stability—the axiom that the universe must preserve information to sustain stable…
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