Q-Flex (United States)

The Adelic Physics Program: A Grand Synthesis

Six papers, one thesis: **Physics is adelic.** The Archimedean (real-number) description is the $\infty$-place readout of a richer ultrametric structure defined over the p-adic completions of $\mathbb{Q}$. Ostrowski's theorem — which classifies all non-trivial completions of the...

A Unified Framework for Superdeterminism, Neurobiology, and the Mechanics of Human Meaning

Superdeterminism is the concept of a perfectly rigid clockwork universe where every single event, including human thought, was mathematically fixed at the beginning of time. In theoretical physics, this framework posits that the initial boundary conditions of the cosmos dictate t...

Syntactic Generation: Primitive Distinctions

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 r...

7 Autaxys Defined

--- author: Rowan Brad Quni email: rowan.quni@qnfo.org website: http://qnfo.org ORCID: 0009-0002-4317-5604 ISNI: 0000000526456062 robots: By accessing this content, you agree to https://qnfo.org/LICENSE. Non-commercial use only. Attribution required. DC.rights: https://qnfo.org/L...

Zitterbewegung as the Physical Realization of p-Adic Anyon Braiding

The p-Adic Anyons program (Phases 1-4) developed the mathematical framework for anyons whose braid statistics are defined on Bruhat-Tits trees rather than in continuous spacetime. The ZBW program (P1-P3) demonstrated that Zitterbewegung — the rapid trembling motion of Dirac fermi...

Silent-Radix Cryptography: Exploiting the Base Ambiguity of Positional Notation as a Cryptographic Primitive

The observation that a positional numeral cannot internally specify its own base — the "silent radix" problem identified in §1.1 of the Ultrametric Foundation — is not merely a philosophical curiosity. It is a cryptographic primitive. We formalize this as **Silent Radix Encryptio...

Adelic Quantum Error Correction: Intrinsic Qubit Protection from Ostrowski's Theorem

We formalize an adelic approach to quantum error correction (QEC) based on Ostrowski's theorem: the only non-trivial completions of the rational numbers are the Archimedean (real) completion $\mathbb{R}$ and the p-adic completions $\mathbb{Q}_p$, and these topologies are mutually...

Simulation Inconsistency Detection via Neurobiological and Cognitive Interfaces

A simulation, in this context, refers to a constructed environment governed by programmed rules rather than fundamental physical laws. This digital realm comprises two logically distinct subsystems that must interact seamlessly. The first subsystem is the world-engine, which calc...

Gauge-Invariant Field Theory of Signal-Worker Interactions: Deriving the Logical Cloning Prohibition from First Principles of Quantum Architectonics

The transition of Quantum Architectonics from a materials-centric discipline to a fundamental ontology of information-matter interaction necessitates a rigorous field-theoretic description. This study bridges that gap by promoting the Signal-Worker ontology to a continuous Gauge-...

The Problem-Substrate Mapping: A Framework for Honest Computational Investment

Phase IV of the Qubit Delusion series. Translates the critique into a concrete investment portfolio: matching computational problem classes (optimization, linear algebra, probabilistic inference, quantum simulation, cryptography, general-purpose) to optimal physical substrates (I...

Beyond the Qubit: Constructive Paradigms for Post-Particle Computation

Companion paper to "The Qubit Delusion" (v1.1, 10.5281/zenodo.21254143). If the qubit-gate-circuit model is an epistemic failure — a projection of particle ontology onto relational, field-theoretic reality — what comes next? We strip quantum mechanics to its minimal ontological c...

Ultrametric Quantum Computing: Tree-Topology Error Correction

The observation that positional notation carries a native ultrametric tree structure extends into quantum computing through the tensor-product architecture of qubit registers. We formalize three theses: (I) a tree-topology quantum processor confines errors to subtrees via the str...

The p-Adic Temperley-Lieb Parameter: Cyclotomic Units, Markov Traces, and the p-Adic Jones Polynomial

In Phase 1, we defined the p-adic braid group $B_n(\mathbb{Q}_p)$ on the Bruhat-Tits tree $\mathcal{T}_p$ and showed it satisfies the standard braid relations. Here we complete the connection to the Temperley-Lieb algebra and the Jones polynomial at non-archimedean places. The TL...

Nonlinear Tree-Based Numeration Systems: A Consolidated Synthesis

1. **Rofa (Quni-Gudzinas, 2013).** *On Number Representation.* arXiv:2005.10207. `[EXTERNAL-SOURCE]` 2. **Tarau, P. (2013).** *Arithmetic Algorithms for Hereditarily Binary Natural Numbers.* arXiv:1310.8277. `[WEB-SEARCH]` 3. **Akiyama, S., Frougny, C., & Sakarovitch, J. (2008).*...

Adelic Synthesis: The Pattern-Particle Correspondence and the Complete Arithmetic Theory of Anyons

The prior three phases of this program constructed p-adic anyon theories at individual finite places: p-adic braid groups on Bruhat-Tits buildings (Phase 1), the Temperley-Lieb parameter as p-adic cyclotomic units with the p-adic Jones polynomial (Phase 2), and anyon fusion and b...

Simulation Inconsistency Detection via Neurobiological and Cognitive Interfaces

A simulation, in this context, refers to a constructed environment governed by programmed rules rather than fundamental physical laws. This digital realm comprises two logically distinct subsystems that must interact seamlessly. The first subsystem is the world-engine, which calc...

The Ultrametric Bridge Theorem: Conditional Quantum States Under Global Constraints Necessarily Form Ultrametric Hierarchies

We prove that under a global constraint of the form $\hat{H}|\Psi\rangle = 0$ (the Wheeler-DeWitt equation), conditional quantum states produced by the Page-Wootters mechanism $|\psi(\tau)\rangle_R = \langle\tau|_C |\Psi\rangle_{CR}$ naturally organize into an ultrametric hierarc...

Ultrametric Engine: Deploying a 20-Principle p-Adic Discovery Worker

The theoretical framework developed in P1-P5 requires computational infrastructure to make ultrametric (p-adic) analysis accessible to experimentalists. We specify and deploy an ultrametric discovery engine — a Cloudflare Worker implementing 20 principles from the proven Ask QWAV...

7 Autaxys Defined

--- author: Rowan Brad Quni email: rowan.quni@qnfo.org website: http://qnfo.org ORCID: 0009-0002-4317-5604 ISNI: 0000000526456062 robots: By accessing this content, you agree to https://qnfo.org/LICENSE. Non-commercial use only. Attribution required. DC.rights: https://qnfo.org/L...

The Physics of Computation: Fundamental Limits and the Honest Boundaries of Post-Classical Computing

Phase III of the Qubit Delusion series. Examines fundamental physical limits on computation: Landauer bound, Margolus-Levitin theorem, Bremermann limit, Bekenstein bound. Shows that quantum error-correction overhead (1e2-1e3 physical operations per logical operation) multiplies t...