Open research library
Papers you can read, cite and question
710 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.
Looking for an answer rather than a paper? Ask the whole corpus: answers cite the papers they come from.
Physics papers 44 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.
Ultrametric. Non-Archimedean geometry: tree metrics, strong triangle inequality, hierarchical distance Tagged papers: 114.
Time as a Nested Ultrametric Hierarchy of Cycles: Formalization, Scaling, and Testable Predictions
Physical time is usually represented as a continuous Archimedean line, yet every operational clock is a periodic process and these processes nest across many orders of magnitude. Existing work on nested frozen‑state hierarchies in kinetically constrained quantum models, ultrametric order‑parameter…
Superposition as a Projection Artifact of Discrete Tree Geometry
Quantum superposition underpins quantum computing, interferometry, and macroscopic‑superposition experiments, yet its ontological status remains contested, creating a design bottleneck for error‑correction and measurement hardware. Existing models lack a concrete hidden‑variable construction that…
Renormalization‑Group Attractors as a Unifying Framework for Physical Convergence and Theory Polygenesis
Independent discovery of identical mathematical structures (polygenesis) and the parallel emergence of similar physical behavior in unrelated systems (convergence) suggest a common organizing principle. Existing work identifies fixed‑point structures in scalar‑curvature geometry, cosmological…
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 Euler‑Product Cancellation of Vacuum Energy in Ultrametric Cosmology
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 invoke new dynamical fields or…
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 Minkowski Spacetime from Products of Bruhat–Tits Trees: Dimensional Selection, Horizon Geometry, and Scaling‑Limit Analysis
The dimensionality and Lorentzian signature of spacetime are imposed rather than derived in most quantum‑gravity frameworks, leaving model‑building costly and background‑dependent. We close this gap by constructing a product of \(D\) Bruhat–Tits trees, orienting a single tree to supply a directed…
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…
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…
Superposition as a Projection Artifact of Discrete Tree Geometry: A Deterministic Toy Model for Quantum Statistics
Quantum technologies rely on the Born rule, interference, and Bell‑type correlations, yet the ontological status of superposition remains debated. Existing interpretations either postulate a fundamentally probabilistic wavefunction or invoke many‑world branching, leaving the measurement problem…
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…
In‑Network Hamiltonian Engineering for 6G: Service Model, Quantitative Budgets, and Re‑Entry Analysis
Sixth‑generation (6G) network research seeks to embed semi‑classical quantum‑control functionality within the communication fabric, yet designers lack a quantitative budgeting framework that determines whether a Hamiltonian‑engineering service can operate inside quantum‑coherence windows and how…
Is the Harmonic Oscillator an Infrared Attractor in All Places? A Place‑Resolved Analysis of the Harmonic Paradigm
The universal infrared (IR) attractor claim for the quantum harmonic oscillator (HO) has been examined only over the Archimedean absolute value on ℚ. This work asks whether the attractor status survives under the non‑Archimedean $p$‑adic and adelic norms. We construct a place‑resolved…
Geometric Confinement as a G-Only Baseline for Superconducting Phenomena: A Re-Entry Analysis of the QNFO Geometric Unification Framework
Engineers designing confined superconducting devices—thin-film resonators, vortex-based flux devices, and cavity-coupled qubits—routinely attribute device performance to material-specific mechanisms, yet a purely geometric contribution is rarely quantified first, so geometric and material effects…
The q-Generalized α-Diameter: Scaling Exponents D_q^α for Arbitrary Ultrametric Ratios
In the QNFO ultrametric physics program, the fine-structure constant α has been reframed as a cross-ratio of two measurable electron length scales, and adelic extensions on Bruhat–Tits buildings have been proposed. A natural but unresolved question is how the characteristic "depth" associated with…
Majorana Zero‑Mode Parity, the Hexagon Equation, and the Necessity of Chiral Edge Modes in Two‑Dimensional Topological Superconductors
Topological quantum computation requires non‑Abelian anyons whose braiding implements fault‑tolerant logical gates. In two‑dimensional topological superconductors, vortices bind Majorana zero modes (MZMs) that furnish a projective braid‑group representation. A persistent open question is whether the…
Arithmetic Anyons: The Bounded-Occupation Family, Gentile Statistics, and the Roots of Unity That Carry Braid Phases
Three spatial dimensions admit exactly two exchange statistics for identical particles, and a recent record reads the two occupation distributions as maximum-entropy occupations of one integer lattice under two multiplicity rules, closing with an open correspondence: the bounded-occupation family…
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…
Ultrametric Quantum Computation and the Langlands Program
A unified thesis establishing ultrametric quantum computation on Bruhat-Tits trees as the physical substrate for the Langlands program, with Hecke operators as quantum gates and the adele ring as the natural spacetime.
The Observer Inside the Tree: Can Self-Location in an Ultrametric Structure Resolve the Inside/Outside Schism?
The 29-schisms framework claims to resolve the central schism of quantum foundations — S10, the observer inside vs. outside — by embedding the observer as a node in an ultrametric TREE structure, eliminating the need for an external vantage point. This paper subjects that claim to independent…
Quantum Coherence in Photosystem II: Environment-Assisted Transport and the Role of Vibronic Coupling in Biological Light-Harvesting
The discovery of long-lived quantum coherence in photosynthetic light-harvesting complexes—first reported in the Fenna-Matthews-Olson (FMO) complex in 2007—fundamentally challenged the assumption that biological systems operate exclusively in the classical regime at physiological temperatures. Over…
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
Computes the Majorana ZBW current correlator in free-field theory. Shows that the reality condition enforces a vanishing expectation value, establishing a Z_2 topological distinction between Dirac and Majorana fermions accessible via ZBW measurement.
Trapped-Ion Page-Wootters Experiment: Protocol for Testing Ultrametricity
We propose a trapped-ion experiment to test the Sufficient Condition Theorem: that diagonal clock-rest coupling produces exact ultrametric conditional state overlaps (UVR = 0%), while nondiagonal coupling produces a universal ~32% violation rate. All required capabilities are established with…
Conditional State Distances in Page-Wootters Quantum Clocks: When Does Ultrametricity Emerge?
The Page-Wootters formalism resolves the problem of time in quantum gravity by conditioning a globally static Wheeler-DeWitt state on clock readings, producing an emergent notion of evolution. We investigate the mathematical structure of distances between these conditional states and ask: under what…
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…
Ultrametric Quantum Gravity and Computation
This report presents a unified theoretical framework that bridges two seemingly disparate frontiers: ultrametric quantum computation and ultrametric quantum gravity. Both paradigms replace the conventional Archimedean continuum with a discrete, hierarchical, tree‑like geometry described by p‑adic…
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…
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…
Quantitative Simulation of the Brain's Cognitive Architecture
The human brain seamlessly integrates noisy local inputs into a globally consistent percept, a phenomenon that Euclidean models struggle to adequately explain. Theoretical physics suggests that frustrated complex systems settle into hierarchical equilibria characterized by ultrametric topologies.…
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…
Ultrametric Relaxation Dynamics in Topological Quantum Memory
The scalability of Topological Quantum Computing (TQC) is currently impeded by a “Thermodynamic Wall,” where the entropy generation from active error correction cycles scales exponentially with logical qubit count. This paper proposes a paradigm shift from active gate synthesis to passive…
Double Pendulum as a Topological Bridge
The double pendulum serves as the paradigmatic model for the transition from integrability to chaos, yet its potential as a rigorous bridge between classical nonlinear dynamics and quantum open systems remains underutilized. By treating the system’s phase space as a topologically tiled manifold…
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…
Winding Number as Hidden Variable
This paper proposes that physical reality emerges from a pre-geometric substrate based on the circle \(S^1\), with its integer winding numbers providing a deterministic foundation for physics. A universal computation of pattern writing, evolution, and projection generates spacetime and particles,…
Scale-Invariant Reality
The foundational principles of a scale-free, epistemically-grounded reality establish the philosophical and mathematical bedrock upon which the entire Scale-Invariant Epistemic Framework is constructed. This framework posits that physical reality is fundamentally scale-invariant, with no intrinsic…
New papers by email
One short weekly digest: titles and links. No tracking; unsubscribe any time.