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Results for “distinction” 19 papers
Re‑Entry Modes in Solid‑State Quantum Devices: A Calculus of Distinctions with Fully Shown Quantitative Benchmarks
Re‑entry, the self‑referential insertion of a distinction into its own indicational space, is a primitive operation identified in the Laws of Form tradition. Whether this operation can be given operational meaning in solid‑state quantum devices is unknown. Existing solid‑state literature reports…
Finite-Distinction Quantum Mechanics: Unitary Evolution and Superposition as the Large-Distinction Limit of Stochastic Thermodynamics
The continuum is an infinite-information object: a single real coordinate specifies infinitely many yes/no distinctions, and a finite-entropy world cannot contain such coordinates. This paper assembles the consequences of that observation into a three-part thesis. First, the finite-information…
ZX Diagrams at the Seam: Spiders, Pauli Webs, Gadgets, and the Cafeteria Problem of Cross-Disciplinary Imports
Diagrammatic languages are the most successful interface between quantum computing and the human mind. The ZX calculus — with its spiders, Pauli webs, and gadgets — is taught as the intuitive picture of quantum processes, and its completeness theorems are among the finest results in the field. Yet…
Conditional Truths and the Locale Framework: Map, Territory, and the Rendering Interface
Every physical statement is a conditional truth: it holds only within a locale --- a specified vacuum or symmetry sector, background geometry, medium, energy scale, or observer frame. This paper formalizes the resulting locale framework in four moves. First, a catalog of conditional truths (photon…
Configuration-Space Topology and the Distinction Calculus: The Exchange Scalar, Its ±1 Shadow, and a Pre-Registered Derivation Program
Configuration-space topology (CST) derives exchange statistics from the topology of the space in which identical particles move: the fundamental group pi_1(C_N(M)) is the symmetric group S_N in d >= 3 spatial dimensions (exactly two exchange phases: boson +1, fermion -1) and the braid group B_N in d…
Invariant Structural Value: Fundamental Constants and Formulas as Invariant Relations
We develop the thesis that the fundamental constants and formulas of physics encode invariant relations rather than unit-dependent magnitudes. Measurable physics is characterized as the invariant quotient of a larger non-measurable mathematical structure modulo redundancy groups: units, coordinates,…
Signal-Worker Boundary Confinement: A Corrected Ontology of Surface vs Bulk Transport
The Signal-Worker (S-W) ontology — boson = signal (the delocalized field instruction), fermion = worker (the localized state that performs work) — is the QNFO corpus's proposed decomposition of the wave–particle duality fog. This paper delivers the red-team-hardened correction of that ontology's…
The Boson/Fermion Distinction: Spin-Statistics as Structural Invariant
The textbook dichotomy between bosons and fermions is commonly presented as a primitive classification of nature, with the spin-statistics theorem as its iron law. This paper argues that the dichotomy is a derived, dimension-dependent shadow of a single structural relation: the exchange phase of…
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…
Invariant Patterns and the Adelic Refactoring of Fundamental Physics
This paper proposes a systematic refactoring of fundamental physics around a single organizing principle: physics is the study of invariant patterns under specified classes of transformations. Stripping away anthropocentric conventions --- measurement units and the privileged status of Archimedean…
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…
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…
Vanishing ZBW Signal: The ZBW-Majorana Hypothesis as a Unified Framework for Topological Fermion Distinction
The ZBW-Majorana hypothesis, developed across four companion papers (P1--P4), establishes that Zitterbewegung (ZBW) --- the rapid trembling motion of Dirac fermions at the Compton scale --- is a $\mathbb{Z}_2$ topological observable that distinguishes Dirac from Majorana fermions at the hardware…
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…
Syntactic Generation
Traditional models of physical reality rely on the assumption of foundational substances. These base materials are typically conceptualized as particles, fields, or continuous spatial manifolds. Such approaches inevitably generate persistent philosophical dualisms and questions regarding ultimate…
Meta-Pattern of Reification in Physics
The practice of physics, like all scientific inquiry, operates through a delicate interplay between the observable world and the conceptual frameworks we construct to understand it. At the heart of this interplay lies a persistent cognitive trap: the tendency to mistake our mathematical models,…
REIFICATION AND NON-ARCHIMEDEAN FOUNDATIONS IN THEORETICAL PHYSICS
This synthesis examines the persistent difficulties in contemporary theoretical physics through the lens of the Copernican diagnostic: the proliferation of unobservable entities (virtual particles, dark matter, the inflaton, etc.) signals not that nature is complex but that the descriptive framework…
Information-Theoretic Scale Management
Informational Realism posits that reality’s fundamental layer is informational. This framework axiomatizes a distinction between the complete set of all possible information states, the informational census (\(\Omega\)), and the limited set of physical measurements, the physical poll…
Re‑Founding Information: An Autaxic Ontological Framework with Quantitative Illustrations
The absence of a unified, ontologically grounded theory of information hampers interdisciplinary research, obscures the design of data‑centric technologies, and inflates costs in fields ranging from quantum physics to artificial intelligence. Existing syntactic accounts such as Shannon’s theory and…
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