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Results for “foundations” 5 papers
Bruhat–Tits trees. Bruhat-Tits trees used as the model space Tagged papers: 61.
Reformulating Quantum Mechanics on Bruhat–Tits Trees: A Deterministic Boundary‑Measure Framework
Quantum foundations confront the measurement problem and the postulated Born rule $P_i=|c_i|^2$. Existing platforms—type‑I parametric‑down‑conversion sources delivering $10\;\text{kHz}$ coincidences at $200\;\text{mW}$ pump power [1] and superconducting processors achieving $99.90\%$ single‑qubit…
The Adelic Distinction: Physics as Automorphic Representation Theory on the Idele Class Group
Ostrowski's theorem (1916) establishes that every completion of the rational numbers $\mathbb{Q}$ is either the real Archimedean place $\mathbb{R}$ or a $p$-adic non-Archimedean place $\mathbb{Q}_p$. Physics has, for a century, restricted itself to the Archimedean completion alone — using real…
ODR Thesis: The Compton Count as the Only Primitive
The Ontological Distribution of Reality (ODR) framework identifies a particle with its Compton count \(N_C = m/m_P \in \mathbb{Q}^+\), a dimensionless rational number whose prime factorization assigns it a fixed vertex on the Bruhat–Tits tree. This paper synthesises five research questions into a…
ODR Thesis: The Compton Count as the Only Primitive — A Five-Question Synthesis
The Ontological Distribution of Reality (ODR) framework identifies a particle with its Compton count \(N_C = m/m_P \in \mathbb{Q}^+\), a dimensionless rational number whose prime factorization assigns it a fixed vertex on the Bruhat–Tits tree. This paper synthesises five research questions into a…
The Compton-Counting Ontology and the Bruhat-Tits Tree
The Compton frequency of a particle, normalized by the Planck frequency, yields a dimensionless rational number --- the Compton count. We argue that this count subsumes every other physical quantity as a rational function, that the physical number system is therefore [\\(\mathbb{Q}\\)]{.math…
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