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Physics papers 38 papers
Physicists. Quantum mechanics and its foundations, qubit and device physics, decoherence and leakage, entanglement, anyons and topological matter, superconductivity, thermodynamics of physical systems, spacetime, cosmology and quantum biology.
p-adic. p-adic numbers and valuation-driven models Tagged papers: 82.
p‑adic Spacetime and the Evading of Lorentz‑Invariance No‑Go Theorems
The incompatibility between a discrete quantum substrate and the continuous Lorentz‑invariant manifolds of general relativity has motivated a series of no‑go theorems that forbid locally finite, Poincaré‑invariant networks on Archimedean Minkowski space. These theorems block the construction of…
Hierarchical Suppression of Vacuum Energy in $p$‑Adic Ultrametric Geometry
The observed dark‑energy density is smaller than the naïve Planck‑scale vacuum energy by a factor of order $10^{-120}$, a discrepancy that challenges the predictive power of quantum field theory and hinders the design of a unified quantum‑gravity framework. Existing approaches have not demonstrated…
Ultrametric $p$‑adic Vacuum Energy Suppression and the Cosmological Constant
The observed dark‑energy density $\rho_{\Lambda}^{\rm obs}\approx10^{-47}\,\text{GeV}^4$ is smaller than the naïve quantum‑field‑theoretic vacuum estimate by roughly $10^{120}$, a discrepancy that dominates the cosmological‑constant problem. Existing proposals retain the Archimedean real number…
Adelic p‑adic Vacuum Energy Suppression and the Cosmological Constant Problem
The observed dark‑energy density $\rho_{\Lambda}^{\rm obs}\approx10^{-47}\,\text{GeV}^4$ is smaller than the naïve quantum‑field‑theoretic vacuum estimate by roughly $10^{120}$, a discrepancy that blocks predictive cosmology. Existing proposals retain the Archimedean real number field and invoke…
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…
Branching Fractal p‑adic Reality as a Replacement for Minkowski Spacetime and Hamiltonian Dynamics
The incompatibility between relativistic spacetime geometry and Hamiltonian quantum dynamics imposes a persistent barrier to a unified physical theory, consuming substantial research resources and limiting predictive power in high‑energy and cosmological regimes. Existing frameworks assume an…
Emergent Spacetime and Time from a Static $p$‑Adic Relational Graph
The prevailing view that spacetime and quantum randomness are fundamental continuous entities conflicts with persistent conceptual and technical problems in quantum gravity and cosmology. A static, discrete, non‑Archimedean relational network offers a unified ontological alternative, but…
Finite‑Prime Valuations in Fundamental Physics: An Adelically Demoted Real‑Number Perspective
Precision high‑energy experiments, quantum‑information platforms, and cosmological surveys all express predictions as real‑valued numbers, assuming that the Archimedean field alone captures physical reality. The gap is the absence of a systematic demonstration that finite‑prime ( $p$‑adic )…
Monna Map Projection of $p$‑adic Trees as a Geometric Origin of Quantum Randomness
Quantum‑mechanical randomness underlies cryptographic key generation, Monte Carlo simulation, and error‑corrected quantum computation. Existing explanations treat the Born rule as a fundamental stochastic postulate, leaving the origin of randomness opaque. A specific gap is the absence of a…
p‑Adic Ancestry Model: A Deterministic Ultrametric Ontology for Quantum Correlations
Entangled particles exhibit Bell‑inequality violations that are normally interpreted as evidence for non‑local influences or many‑worlds branching. A concrete alternative is proposed: the p‑adic ancestry model, in which the ultrametric structure of a p‑adic tree encodes a fixed hidden‑variable…
p‑Adic Common‑Ancestor Geometry as a Deterministic Explanation of Quantum Correlations
Quantum entanglement yields Bell‑inequality violations that challenge local deterministic accounts and motivate many‑worlds or non‑local hidden‑variable theories. A concrete gap remains: no mathematically natural non‑Archimedean model reproduces the observed correlations while preserving locality.…
Static p‑adic Holographic Tree as a Fixed Universal Structure
The observed cosmic microwave background (CMB) exhibits a near‑scale‑invariant spectrum that is conventionally explained by inflationary dynamics. Yet the underlying mechanism that generates the holographic entropy bound and the apparent flow of time remains unsettled. We propose that the universe…
Ultrametric Foundations for Quantum Dynamics: A $p$-Adic Calculus Approach
Quantum processors, sensors and communication links lose coherence and demand steep error-correction overheads because their dynamics are modeled over the continuous real field. A proposed alternative replaces the real line with the $p$-adic fields $\mathbb{Q}_{p}$, endowing quantum dynamics with a…
Reformulating Quantum Mechanics on Bruhat–Tits Trees: A Deterministic Boundary‑Measure Framework
Quantum foundations confront the measurement problem and the postulated Born rule $P_i=|c_i|^2$. Existing platforms—type‑I parametric‑down‑conversion sources delivering $10\;\text{kHz}$ coincidences at $200\;\text{mW}$ pump power [1] and superconducting processors achieving $99.90\%$ single‑qubit…
Time as Epistemic Emergence on a $p$-Adic Bruhat–Tits Tree: Static Constraint, Counting Laws, and the Observer-Generated Arrow
The problem of time in quantum gravity blocks any straightforward union of general relativity, in which the time coordinate is dynamical, with quantum mechanics, in which evolution requires an external background parameter; until it is resolved, a non-perturbative quantum theory of gravity cannot…
Zitterbewegung as an Archimedean–2-adic Adelic Mixing Signature: Spectral-Gap Formalization, Numerical Anchors, and a Falsifiable Simulation Program
Zitterbewegung (ZBW) — the trembling motion of a Dirac wave packet at angular frequency $\omega = 2mc^{2}/\hbar$ — is conventionally treated as an interference artifact of the Dirac Hamiltonian, with no independent physical content. A gap remains: no existing framework makes precise, in a…
Ultrametric $p$‑Adic Noise Structure and Heisenberg‑Limited Quantum Metrology: Error Resilience by Geometry, Not Overhead
Quantum metrology seeks phase sensitivities that surpass the standard quantum limit (SQL) $\Delta\theta\propto N^{-1/2}$, aiming for the Heisenberg limit $\Delta\theta\propto N^{-1}$. Decoherence typically destroys this advantage, and active error‑correction incurs prohibitive overhead for near‑term…
Adelic Zitterbewegung: p-Adic Regularization of Dirac Trembling Motion and the Product-Formula Cancellation at Macroscopic Scales
Zitterbewegung (ZBW) — the trembling motion of Dirac wave packets at the Compton scale — is conventionally treated as a purely Archimedean interference effect between the positive- and negative-energy branches of the free Dirac equation. Missing from the standard account is any mechanism by which…
Zitterbewegung as Archimedean–2-adic Channel Mixing: A Conjectural Adelic Framework and Its Testable Consequences
Zitterbewegung (ZBW) — the trembling motion of Dirac wave packets at the Compton scale, first identified by Breit and Schrödinger — is conventionally explained as interference between positive- and negative-energy branches on the real line. We develop a conjecture, motivated by the adelic physics…
Finite-Distinction Quantum Mechanics: Unitary Evolution and Superposition as the Large-Distinction Limit of Stochastic Thermodynamics
A finite-entropy world is a finite-distinction world: uncountable precision is unphysical, while computable depth and p-adic valuation remain physically real. The state-space geometry of finite distinctions is combinatorial and ultrametric; quantum mechanics read as thermodynamics is a stochastic…
Radix-Agnostic Detection of Discrete Scale Invariance: A Certified Three-Stage Protocol and a Null Result from Planck 2018
Discrete scale invariance (DSI) — invariance under a discrete set of rescalings $x \to \lambda^n x$ — predicts log-periodic oscillations whose angular frequency in the logarithmic coordinate $u = \ln x$ is $\omega_0 = 2\pi/\ln\lambda$. When the scaling radix $\lambda$ is unknown, a radix-locked…
Searching for P-Adic Log-Periodic Signatures in the Cosmic Microwave Background Bispectrum: Upper Bounds from Planck 2018
We search for p-adic (ultrametric) log-periodic signatures in the cosmic microwave background bispectrum. Radix-locked oscillations with angular frequency omega_p = 2*pi/ln(p), p in {2,3,5,7}. Upper bounds from Planck 2018: epsilon_p < 2.5 at 95% CL, no detection; within single-modulation model this…
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). Ostrowskis theorem demands all p-adic completions of Q be physically meaningful. This paper provides the epistemological and pedagogical…
Depth, Breadth, and Valuation: A Unified Ontology of the Physical Continuum
Three-axis framework: Depth (computable reals), Breadth (non-computable reals — physically vacuous), Valuation (p-adic completions as information carriers). Falsifiable predications for QEC, gauge structure.
The ℚ-vs-ℝ Question: Why Physical Law Requires Only the Rational Numbers
The QNFO physics programme — spanning the Adelic Physics Program (7 papers), the Ostrowski Programme (30+ artifacts), Hensel Codes (3 versions), and the ultrametric foundation — rests on an assumption that has never been systematically defended: that the rational numbers (ℚ) are the physically…
The Harmonic Paradigm Under Ostrowski’s Theorem: A p-Adic/Adélic Re-Evaluation with Helical Compton Vortex Synthesis
Systematic Ostrowski-completion-theoretic audit of the Harmonic Paradigm V1.0-V4.0. Five findings: (1) Beta-function mechanism is infinity-place-specific -- Missarov (1989) confirms different universality class. (2) Q_p not ordered -- eliminates S-matrix, Noether, measurement. (3) pi IS adelic --…
p-Adic Anyon Fusion and Braiding: Quantum Groups at Roots of Unity, Verma Modules, and Ultrametric Anyon Models
Constructs p-adic anyon models via restricted quantum groups at roots of unity with fusion and braiding.
Zitterbewegung as the Physical Realization of p-Adic Anyon Braiding
Shows that the ZBW-induced oscillatory trajectory of a Dirac fermion in a Bruhat-Tits building generates the braid group B_n, establishing ZBW as a physical mechanism for p-adic anyon braiding in topological quantum computation.
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…
Bruhat-Tits Readout Protocol: Measuring the ZBW Z2 Invariant in Majorana Systems
Proposes three measurement protocols for the p-adic Z_2 invariant: Direct current-correlator measurement, Hensel-lifting amplification via the Bruhat-Tits building, and Gromov delta-hyperbolicity comparison of ZBW trajectories in Dirac/Majorana systems.
ULTRAMETRIC PHYSICS
This research plan presents a framework for ultrametric physics based on fundamental scaling ratios rather than anthropocentric number representations. The core insight: physical reality is described by dimensionless scaling ratios (π, φ, e, α, etc.) that operate on hierarchical discrete structures,…
Ultrametric Physics Research Plan
This research plan presents a framework for ultrametric physics based on fundamental scaling ratios rather than anthropocentric number representations. The core insight: physical reality is described by dimensionless scaling ratios (π, φ, e, α, etc.) that operate on hierarchical discrete structures,…
Unity of Ultrametric Physics
This document develops a unified framework for physics grounded in ultrametric geometry. No prior mathematical knowledge is assumed. Every concept — from the notion of a set to the adelic field equations — is defined in place, every operation explained, and key properties proved. The text can be…
Computational Simulation Approach to Non-Archimedean Quantum Architectures
The prevailing quantum computing paradigm is fundamentally constrained by the continuous analog fragility inherent to Archimedean spaces, resulting in uncontrolled linear error accumulation that demands massive active correction overheads. To address this structural bottleneck, we propose a…
Number Theory as Physics
This chapter transitions from theoretical derivation to empirical verification, identifying specific signatures of the \(q\)-adic framework within the fields of quantum information and condensed matter physics. We propose a primary, testable prediction: the existence of **Prime-Periodic and…
Ratio-Based Adelic Physics
The tension between continuous Archimedean spacetime paradigms and discrete, non-Archimedean topological realities constitutes the central mathematical bottleneck in modern complexity science, hindering the unification of quantum mechanics, spin glass phase dynamics, and cognitive psychophysics.…
From Force to Fractal
The transition from force-based epistemic placeholders to a purely geometric ontic bedrock represents the defining trajectory of modern theoretical physics. By synthesizing Ontic Structural Realism with contemporary developments in Invariant Set Theory, we propose a unified framework where reality…
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