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Results for “distinction” 4 papers
Bruhat–Tits trees. Bruhat-Tits trees used as the model space Tagged papers: 61.
The Bruhat–Tits Tree as a Unifying Computational Primitive: Confluence, Quantum Walks, and Tree‑Distance Attention
Hierarchical data, quantum‑amplitude dynamics, and proof‑normalisation each rely on distinct geometric primitives that incur sample‑inefficiency, slow convergence, or non‑confluent reductions. The $p$‑adic Bruhat–Tits tree provides a single ultrametric structure that can replace Euclidean…
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…
Quasiparticles as Rational Functions: Extending ODR to Condensed Matter
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 extends that framework to address a natural…
Zitterbewegung as a p-Adic Observable: Ultrametric Readout and Intrinsic Topological Protection
The Zitterbewegung (ZBW) of a Dirac fermion — the rapid oscillatory motion at the Compton frequency arising from interference between positive- and negative-energy states — has resisted direct experimental observation for nearly a century. The standard interpretation attributes this to the Compton…
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