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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” 14 papers
Quantum foundations. Measurement, Born rule, interpretation Tagged papers: 108.
Can Finite‑Group Topological Quantum Field Theories Generate Continuous Standard‑Model Gauge Symmetry?
The Standard Model (SM) requires a continuous gauge group $SU(3)\times SU(2)\times U(1)$ with infinitely many charge sectors, while finite‑group Walker‑Wang constructions provide only finitely many superselection sectors. Existing proposals therefore face a gap: no demonstration that a finite‑group…
Wheeler‑DeWitt Zero‑Mode: A Structural Test of the Majorana Analogy in Minisuperspace
The Wheeler–DeWitt (WDW) constraint $\hat H\Psi=0$ yields a stationary “zero‑mode” that dominates minisuperspace quantum cosmology. We test the hypothesis that this zero‑mode can be interpreted as a Majorana‑type mode, which would require (i) a particle–hole (self‑conjugate) symmetry, (ii) a…
Exchange Symmetry Is an Involution, Not an Idempotent: A Derivation‑Based Fact‑Check
The claim that particle exchange is idempotent, that the two‑particle configuration space is the three‑sphere $S^{3}$, that the spin‑statistics theorem holds without qualification, and that non‑Abelian anyons are idempotent appears in recent speculative notes. This paper addresses the gap between…
Born Rule as Haar Measure on $p$‑Adic Tree Balls: A Structural Derivation and Its Implications for Quantum Statistics
Quantum theory postulates the Born rule without a deeper structural justification, and Bell‑type correlations are usually interpreted as non‑local. This gap hinders deterministic reconstructions of quantum mechanics and inflates the engineering overhead of quantum‑information technologies that must…
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…
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…
Beyond the Qubit: Constructive Paradigms for Post-Particle Computation
Survey literature shapes how funders, program managers, and research groups allocate attention across quantum-computing platforms, so a factual error in a survey propagates into real decisions. This paper repairs two such errors and adds a quantitative scaling analysis. First, it corrects the claim…
The Qubit Delusion: How Particle Ontology Sabotaged Quantum Computing
The quantum computing industry has absorbed approximately $35 billion in global investment over two decades while delivering zero commercially viable machines. This paper argues that the failure is not merely an engineering delay but an epistemic crisis: the dominant qubit-gate-circuit model of…
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…
Majorana Zitterbewegung Current Correlator: Vanishing ZBW Signal as a Z2 Topological Invariant
We compute the Zitterbewegung contribution to the current-current correlator $\langle j^\mu(x) j^\nu(0) \rangle$ for both Dirac and Majorana fermions in (2+1) dimensions. In the Dirac case, the ZBW term oscillates at frequency $2E$ with magnitude comparable to the static vacuum polarization term…
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…
Non-Archimedean Syntactic Paradigm for Physics
The prevailing paradigm in modern physics assumes that the universe operates over continuous, Archimedean geometries, leading directly to the widespread belief that quantum information is intrinsically fragile. By projecting fundamentally discrete quantum states onto smooth vector spaces, standard…
Base State–Disturbance (BS-D) Ontology
This presents the formalization and computational validation of the Base State–Disturbance (BS-D) Ontology, a framework proposed to resolve the conceptual fragmentation between Quantum Field Theory (QFT) and General Relativity. We posit that physical reality is reducible to two interdependent…
Superfluid Substrate
The paradoxes limiting contemporary physics—from the vacuum energy catastrophe to the thermodynamic scaling of quantum computers—are artifacts of a static ontology. A unified framework is defined where physical systems are topological modes within a dynamic, relativistic condensate. By modeling the…
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