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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 “thermodynamic” 100 papers
Operational Axioms Do Not Select the Standard Model: A Formal Audit of a Generalized-Probabilistic-Theory Reconstruction Conjecture
A conjecture in the foundations of physics holds that four operational axioms of generalized probabilistic theories (GPTs) — causality, no-signaling, local tomography, and continuous reversibility — extended to systems with infinitely many degrees of freedom, necessarily yield quantum field theory…
CEI Invariance: Architectures as Equivalence Classes of Causal Density and Energy Fidelity
Computational architectures are today chosen for a substrate by benchmarking, an expensive process that must be repeated for every substrate-architecture pair and gives no guidance before hardware exists. No existing framework predicts, from thermodynamics alone, which architecture classes a…
Fault‑Tolerant Quantum Memory as a Thermodynamic Phase in a 4‑D Topological Photonic Lattice
Passive protection of quantum information can be achieved when a material phase possesses a bulk energy gap that exceeds the ambient thermal energy. Existing self‑correcting memory proposals rely on many‑body Hamiltonians that are difficult to engineer. We propose a concrete photonic implementation…
Passive Fault Tolerance via Bruhat–Tits Tree Codes: Exact Ball-Code Error Rates, Energy Barriers, and the Cooling Wall of Active Quantum Error Correction
Large-scale quantum computation is gated by active error correction: stabilizer codes such as the surface code require physical-to-logical overheads of $10^{2}$–$10^{4}$, continuous syndrome measurement, and millikelvin refrigeration whose thermodynamic cost grows as the operating temperature falls.…
Thermodynamic Feedback Limits on the Scalability of Surface‑Code Quantum Error Correction
Quantum error correction (QEC) is essential for fault‑tolerant quantum computation, yet the control electronics, wiring, and cryogenic heat load required for each correction cycle generate heat that raises the qubit temperature and thereby increases the intrinsic physical error rate. This creates a…
Passive Quantum Error Correction via Ultrametric Geometry on Bruhat–Tits Trees
Scalable quantum computing is limited by the thermodynamic overhead of active error‑correction cycles, which require repeated syndrome extraction, low‑latency decoding, and large ancilla resources. A quantitative gap exists: no fully derived account shows how non‑Archimedean (ultrametric) geometry…
Thermodynamic Feasibility of Tubulin Conformational Switching as a Heat‑Free Parallel Computation Substrate
Cellular information processing is limited by the heat generated during molecular state changes, which constrains the scalability of intracellular computing architectures. The hypothesis that tubulin dimers in microtubules can act as binary switches with near‑Landauer‑limited energy consumption has…
Thermodynamic Scaling Limit of Active Quantum Error Correction
Active quantum error correction (QEC) underpins fault‑tolerant quantum computation, yet its control circuitry dissipates heat that must be removed by cryogenic infrastructure. A hard scalability limit arises when the localized power density generated by control pulses exceeds the Kapitza thermal…
Gödelian Boundary as a Generative Phase Transition: Analytic Derivation of Optimal Operating Points for Constrained Cognitive Systems
Self‑referential cognitive systems—such as self‑improving language models, automated theorem provers, and adaptive controllers—must balance the generation of novel ideas against the risk of incoherent output. Existing designs rely on heuristic thresholds, leaving designers without a principled…
THz-Driven Synthetic-Dimension Lattices in Thin-Film Lithium Niobate: Thermal-Photon Occupation Limits and the Operating-Point Criterion at 3.5 THz
Synthetic-dimension photonics uses the frequency modes of a single optical waveguide as the sites of an artificial lattice, promising high-dimensional photonic circuits without three-dimensional fabrication. Progress toward interaction-capable synthetic lattices in thin-film lithium niobate (TFLN)…
When Reconstruction Knowledge Exceeds System Information: Thermodynamic and Algorithmic Limits
Reconstructing a scrambled physical or digital system—such as a burned manuscript, a highly entangled quantum state, or a tomographic image—requires auxiliary information that is not contained in the scrambled object itself. Existing reconstruction techniques often assume that the required knowledge…
Computation as Hamiltonian Isomorphism: A Mode-Based Taxonomy of Physical Computing Substrates
Special-purpose accelerators, neuromorphic chips, and optical processors are today evaluated by qubit or transistor counts, yet the machines that deliver the largest effective speedups are those whose physical dynamics directly embodies the target problem. This paper addresses a specific gap: no…
Passive Error Rejection via Cryo-Fluidic Topological Phases: A Feasibility Analysis of the Topological Matter Engine
Active quantum error correction imposes a large and growing overhead of physical qubits, control electronics, and entropy-exporting measurement cycles on every scalable quantum processor. This paper examines a proposed alternative: a "Topological Matter Engine" in which errors are rejected…
Thermodynamic Divergence of Active Quantum Error Correction Overhead: A Kapitza-Limited Feasibility Threshold for Gate-Based Architectures
Active quantum error correction (QEC) is conventionally analyzed as an algorithmic resource problem: how many physical qubits and gate cycles are needed per logical qubit. We propose a complementary thermodynamic feasibility criterion. In a gate-based architecture, every QEC cycle is driven by…
Ontological Re‑Entry: What Can We Say Exists?
The re-entry problem asks which existence claims a finite-resource observer can legitimately make when its internal structure is projected back onto the world. Existing approaches lack a quantitative link between ontological commitments and physical limits. We fill this gap by (i) defining a…
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…
Appearance Under Relativistic Motion: A Quantitative Re‑Examination Across Thermodynamic, Radiative, and Structural Channels
A recurring question in relativistic physics is whether a physical system “appears” invariant to an observer moving at relativistic speed. The gap is definitional: “appears invariant” is ambiguous without specifying the observable and the measurement protocol. We operationally define appearance…
Actual Demand of a Computational Substrate: A Reconciled Demand‑Side and Allocation Framework for Physical Computing Platforms
Debates about novel computational substrates—reservoir systems, post‑qubit quantum architectures, thermodynamically bounded devices—are usually conducted from the supply side: what can a given physical system compute? Far less attention is paid to the complementary question of what demand is…
Passive Signal as Passive Controller: A Systems-Theoretic Feasibility Analysis of the Signal‑Worker Ontology
Engineers who must stabilize fragile quantum or mesoscopic states face a trade‑off between active control, which continuously injects energy, and passive structural control, which encodes stabilizing information in the environment but lacks a certification theory. The Signal‑Worker (S‑W) ontology…
Parity-Protected Superconducting Qubits at 4 K: A Reconciled Thermodynamic Error-Budget Analysis
Scalable superconducting quantum computing is conventionally operated at millikelvin temperatures, where the cooling power available from dilution refrigerators is severely limited. This paper tests the conjecture that a thermodynamic bottleneck at millikelvin temperatures could be relieved by…
Thermodynamic Bottlenecks on Floquet Driving of Superconducting Matter: Quasiparticle Poisoning, Heat Extraction, and Design Rules
Floquet engineering—periodic modulation of a Hamiltonian to synthesize effective dynamics—is attractive for superconducting circuits and materials, but a driven superconductor is an open system: every absorbed drive photon must be dissipated into a cryogenic bath, and above-gap absorption breaks…
The Scaling Paradox of Surface-Code Quantum Error Correction: Exponential Suppression, Logarithmic Overhead, and a Landauer Floor That Grows with Reliability
Surface-code quantum error correction (QEC) is widely regarded as the leading route to fault-tolerant quantum computation, yet its resource story contains an under-examined tension we call the scaling paradox: the code suppresses logical errors exponentially in code distance $d$, so the…
The Thermodynamic Wall: Heat Dissipation as a Boundary Condition on Quantum Coherence Time
We introduce the thermodynamic wall: a boundary-condition formulation of the trade-off between macroscopic heat dissipation and quantum coherence time in engineered systems. Just as computational wall models in fluid dynamics encode unresolved near-boundary physics into an enriched boundary…
Ensemble Dependence of Critical Exponents at Quantum Error Correction Thresholds: Analytic Mechanisms and Statistical Consequences
Ensemble equivalence — the expectation that microcanonical, canonical, and grand-canonical descriptions of a system agree in the thermodynamic limit — is a cornerstone of statistical mechanics, yet it can fail for observables that probe exponentially rare events. Recent work on a simplified quantum…
Thermodynamic Budgeting for Hybrid Quantum-Classical Computing: A Three-Layer Energy Model with Explicit Arithmetic and a 15-Month Validation Roadmap
Hybrid quantum-classical (HQC) computing is the dominant near-term paradigm, yet its energy accounting is rarely made explicit: the classical control, readout, cryogenic, and orchestration hardware surrounding the quantum processing unit (QPU) can dominate the total power budget, eroding any…
Thermodynamic Trade-off Frontiers for Neuromorphic Processors: A Quantum-Inspired Non-Equilibrium Model of the Energy–Speed Boundary
Neuromorphic processors promise order-of-magnitude gains in energy efficiency, but no predictive framework currently connects device-level dissipation to system-level computational throughput. We develop a non-equilibrium thermodynamic model in which a neuromorphic processor is treated as a driven,…
Landauer-Limit Energy Floor and JPCUB Normalization for Cryogenic Quantum Control Electronics
Cryogenic quantum control electronics dissipate energy many orders of magnitude above the thermodynamic minimum implied by Landauer's principle, and the gap matters for the joules-per-compute economics of fault-tolerant machines. This paper computes the Landauer floor for a rotated surface-code…
A Lower Bound on Energy Cost per Logical-Qubit Operation in Surface-Code Quantum Error Correction
Surface-code quantum error correction translates one logical qubit into a two-dimensional array of physical qubits, and the energy cost of that translation is rarely quantified at the level of a logical operation. This paper specifies a minimal, convention-explicit energy model for a rotated…
Error Correction Is a Landauer Machine: The Thermodynamic Floor of Quantum Error-Correction Overhead
Quantum error correction is priced almost exclusively in combinatorial currency: rate, distance, threshold. The physical bill — the energy paid for performing the correction itself — goes unpriced by the field's headline metrics. This paper prices it. Every cycle of active (measurement-based) error…
The Consilience of the QNFO Keyword Taxonomy: Ultrametric Structure as a Testable Compression Prior
The QNFO research program spans seven domains — ultrametric physics, the laws of form, infomatics, paradigm engineering, consilience research, the QWAV platform, and interactive demos — and maintains a canonical keyword taxonomy of 335 terms used to scope external discovery. A recurring claim in the…
The Ultrametric Program: One Structural Object Across Seven Research Domains, and Its Falsifiable Tests
Seven research domains — ultrametric physics, the laws of form, infomatics, paradigm engineering, consilience research, a cloud-native platform, and interactive demos — are claimed to be seven vocabularies for one structural object: a nested, hierarchical partition logic. The object is defined by…
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…
The Self-Referential Scalar Family: e, the Half-Turn, and the Unification of Information Theory, Statistics, Thermodynamics, and QND Measurement in the Adelic Picture
Standard information theory measures uncertainty at the archimedean place; the adelic program extends it to all completions of the rationals, carrying a p-adic valuation entropy alongside Shannon entropy. This paper shows that the two most familiar distributions of statistical mechanics are already…
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…
A Critical Treatise on the Load-Bearing Assumptions of Quantum Mechanics, Thermodynamics, and Computation
The electron is the most precisely measured particle in physics and the workhorse of modern computation, yet the theoretical structure in which it lives rests on assumptions that are load-bearing but rarely interrogated: the complex Hilbert-space postulate, the spin-statistics theorem's premises,…
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…
Autaxys Ontological Closure: When Is a Physical Quantity Computationally Real?
We propose an operational criterion for physical reality: a quantity is physically real only if there exists a finite Turing-machine protocol that approximates it with a computable modulus of convergence, yielding measurement-distinguishable predictions. This criterion is not a metaphysical claim…
Passive Error Resilience Through Ultrametric Geometry: A Proposal for p-Adic Quantum Metrology
Active quantum error correction is the dominant paradigm for achieving fault-tolerant quantum computation, but its thermodynamic cost at utility scale remains unaddressed. Each round of syndrome extraction, decoding, and feedback erases information — and under Landauer's principle, that erasure…
Kappa/SIIT Cross-Validation: Exact Reproduction of Standard Model 1-Loop β-Functions and Resolution of the Harmonic-Paradigm Tension
We report a direct mathematical cross-validation of the Kappa / Scale-Invariant Information Thermodynamics framework (Quni-Gudzinas, 2025, the QNFO archive 17218944/17230397) against the Standard Model's known 1-loop renormalization-group β-functions. Through the single definition…
Project Rosetta: The Approximation Entropy & The Fractal Limits of Digital Physics — v2.0
Digital computation has been elevated from an engineering convenience to an ontological assumption -- the belief that physical reality is, at bottom, computable in binary. We challenge this assumption. Through a systematic metamathematical analysis connecting symplectic geometry, transcendental…
The Informational Universe: A Synthesis of Holographic Bounds, Thermodynamic Gravity, and Finite-Dimensional Quantum Constraints
We present a synthesis of three established research programs — the holographic entropy bound, thermodynamic gravity, and the finite-dimensional Hilbert space constraint — into a unified informational framework for physical law. The framework's core claim is that entanglement entropy in any finite…
The Revolutionary Beginner's Guide to Quantum Computing: Why We Don't Have Quantum Computers Yet — and What the Geometric Alternative Offers
A 20-chapter beginner's guide to quantum computing that starts with an honest question — why don't we have quantum computers yet? — rather than the usual "here's what a qubit is." The guide teaches the standard curriculum (qubits, entanglement, algorithms, error correction) accurately, explains why…
Infomatics: An Axiomatic Framework for Information as Fundamental Substrate
We present a synthesis of three established research programs — the holographic entropy bound, thermodynamic gravity, and the finite-dimensional Hilbert space constraint — into a unified informational framework for physical law. The framework's core claim is that entanglement entropy in any finite…
Manifesto for Honest Computation
Five papers have traced an arc from diagnosis to prescription. The qubit is a scaffold, not an invariant. Alternative paradigms exist. Physical limits are real. A diversified portfolio is rational. Institutions must be reformed. This final paper --- the Manifesto --- synthesizes these findings into…
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 (Ising machines,…
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 thermodynamic cost…
Alpha Pi Project
The Alpha Pi project begins with a practical engineering challenge: quantum states are exquisitely fragile, decohering rapidly due to environmental noise. This fragility stems not merely from technical limitations but from a deeper mathematical vulnerability: the continuous real‑number field that…
Computational Toolkit for p-Adic Spacetime
The fundamental incompatibility between the continuous manifolds of general relativity and the discrete nature of quantum mechanics remains a central tension in theoretical physics. This manuscript develops and validates a computational toolkit designed to test theories of p-adic spacetime, which…
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…
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.…
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