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Results for “p-adic” 7 papers
Quantum foundations. Measurement, Born rule, interpretation Tagged papers: 108.
The Self-Referential Scalar Family: e, the Half-Turn, and the Unification of Information Theory, Statistics, Thermodynamics, and QND Measurement in the Adelic Picture
Standard information theory measures uncertainty at the archimedean place; the adelic program extends it to all completions of the rationals, carrying a p-adic valuation entropy alongside Shannon entropy. This paper shows that the two most familiar distributions of statistical mechanics are already…
The Valuation Reading of the Qubit Delusion: Is the Adelic Kernel Load-Bearing?
The Qubit Delusion (https://papers.qnfo.org/papers/paper-the-qubit-delusion/) argues that the qubit-gate-circuit model of quantum computation imports a particle ontology inconsistent with quantum field theory, and that the field's failure to deliver commercially viable hardware after $35 billion of…
Counterfactual Physics: What If p-Adic Methods Had Won?
The p-adic approach to physics was nearly mainstream. Vladimirov and Volovich developed p-adic quantum mechanics in the 1980s. Freund and Witten connected p-adic string amplitudes to the adelic product formula in 1987. Dragovich extended p-adic methods to cosmology and the Standard Model. Yet by…
The Adelic Physics Program: Epistemological Foundations and Communications Framework
The QNFO Adelic Physics Program proposes that the physically accessible base field of physics is ℚ (the rational numbers), not ℝ (the real numbers). Ostrowski's theorem — a proven result in number theory — then demands that all p-adic completions of ℚ be physically meaningful, transforming the…
Depth, Breadth, and Valuation: A Unified Ontology of the Physical Continuum
The standard mathematical ontology of the continuum — the real numbers the real numbers with their uncountable cardinality and Dedekind-complete order — conflates three distinct properties with different physical status. We decompose the continuum into three axes: depth (Archimedean completeness),…
Zitterbewegung as a p-Adic Observable: Ultrametric Readout and Intrinsic Topological Protection for Majorana Qubits
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…
Functional Decoupling Framework for p-adic Hamiltonian Models of Granular Field Interactions
The reconciliation of continuous temporal evolution with discrete physical granularity remains a central challenge in theoretical physics, requiring novel mathematical approaches to model localized action within unbroken fields. This study introduces a functional decoupling framework that divides…
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