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Information theory papers 34 papers
Information theory. Entropy, capacity and coding bounds Tagged papers: 34.
Network Tracing Capacity as an Informational Event Horizon: A Delay-Based Causal Bound for Networked Control
Distributed control systems—power-electronics clusters, vehicle platoons, coordinated robot fleets—stabilize unstable plants through communication networks, and the latency of that communication, not the control law, frequently decides whether stabilization succeeds. Existing design practice treats…
Manifold Modulation for Latent Space Steganography: A Capacity Bound and Distillation Demodulation Model for Teacher-Student Transmission Channels
Large language models are increasingly deployed in teacher-student pipelines in which a student model is fine-tuned on text produced by a teacher, so any statistical signature the teacher imprints on its outputs is transferred to the student whether or not anyone intends it. No existing treatment…
Local Hilbert-Space Dimension as a Resolution Parameter: Information-Theoretic Bounds for Qudit Quantum Cellular Automata as Substrates of Emergent Holographic Geometry
Discrete models of quantum gravity lack a computable criterion for when their emergent geometry becomes semiclassical, and the system sizes at which quantum cellular automata (QCA) show holographic entanglement structure remain out of reach of exact simulation. We ask whether enlarging the local…
Thoughts as Quantum-Informational Hamiltonians: Coherence and Capacity Constraints on a Two-Phase Pre-Geometric Model of Cognition
A standing puzzle in neuroscience and quantum biology is whether any quantum degree of freedom in a warm, wet brain can remain coherent long enough to play a computational role, and no existing framework connects such receptor-scale coherence to any proposal about how spacetime itself emerges. We…
Quantifying the Reuse Barrier in Published Omics Data: Dispersal, Cost, and Feasibility Models for Agent-Supported Retrieval, Reanalysis, and Synthesis
Most published omics data remain functionally inaccessible for computational reuse: the information needed to reproduce a reported result is dispersed across article main text, supplementary files, and code repositories, and intermediate data such as protein abundance tables are shared irregularly…
Distinction, Discretisation, and the Cost of Law: A Quantitative Sketch of Approximation Entropy
The deepest question in physics is often posed as "What are the laws?", but a prior question is "What does it cost to state, and to compute with, a law?" Building on the distinction-based formalism of Spencer-Brown's Laws of Form as consolidated in the Quantum Laws of Form (QNFO) programme, and on…
What Makes a Measure "Genuinely Natural"? Bits, Nats, and the Audit of Naturalness Claims in Measurement, Information, and Language
The word "natural" carries persuasive weight across the quantitative sciences: it appears in "natural logarithm," "natural language," and "natural images," and most pointedly in the recent information-theoretic proposal that the nat — the information unit based on the natural logarithm — is a…
The Price of the Digital Abstraction: Entropy and Encoding Overhead When Discrete Error Models Meet Continuous Quantum Hardware
A working assumption of much quantum error correction (QEC) is that noise can be modeled as a discrete set of Pauli errors acting on two-level systems. We ask what it costs, in information-theoretic terms, to impose this digital abstraction on hardware whose native dynamics are continuous. Using the…
Non-Anthropocentric Natural Units for Area and Information in Holographic Entropy Bounds
Information-theoretic bounds in gravitational physics are conventionally expressed in bits, a unit that presupposes two human choices: the practice of counting states by integers and the selection of logarithm base 2. This paper asks whether the holographic entropy bound can instead be stated…
Compression Versus Consilience in Recursive Model-Generated Corpora: A Break-Even Analysis
Training a machine-learning model on data generated by another model is naturally viewed as lossy compression of high-dimensional real-world structure: each recursive generation should discard tail events and shrink effective dimensionality. Against this compression conjecture stands the observation…
Booklet Cosmological States as Random-Tensor Codes: Recovery Bounds and Entropic Diagnostics for Multi-Boundary Baby Universes
Cosmological states in holography can contain closed "baby" universes inaccessible to any single asymptotic boundary, raising the question of whether the information they carry is recoverable, and from where. The booklet cosmology construction extends the two-boundary cosmological-state proposal of…
The Exponential Arena: A Reconciled Quantitative Account of Hilbert-Space Growth with Qubit Number
A recurring question in quantum information is what "space" the state of a quantum computer inhabits, and how that space grows as the number of qubits $n$ increases. This paper treats the question quantitatively, formalizing the arena of an $n$-qubit register as the complex projective Hilbert space…
Quantum Statistics from the Adelic Product Formula: The Squarefree Origin of the Fermi-Dirac/Bose-Einstein Distinction
The Bose-Einstein and Fermi-Dirac occupation distributions are read as the maximum-entropy solutions of one lattice with two multiplicity rules: the unrestricted integer lattice (Dirichlet series the Riemann zeta function) and the squarefree restriction (a ratio of two zeta values). The paper…
The Self-Referential Scalar Family: e, the Half-Turn, and the Unification of Information Theory, Statistics, Thermodynamics, and QND Measurement in the Adelic Picture
The p-adic maximum-entropy distribution of Adelic Shannon Theory is exactly the Bose-Einstein occupation distribution at fugacity 1/p, i.e. at inverse temperature ln p at the p-adic place; the squarefree restriction of the integers is its Fermi-Dirac counterpart, with occupation probability 1/(p+1)…
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…
Information-theoretic Limits on Programmatic Specification of Biological Systems
Shows via information theory that an organism does not contain enough organism-specific information to specify its own microscopic organization. The genome is a generator specification (not trajectory program). Establishes coarse-graining threshold with dual Hartley/Shannon entropy faces.
Adelic Rate-Distortion Theory: The p-Adic Distortion Measure and the Adelic Information-Rate Function
The Adelic Shannon Theory [1] generalised channel capacity to the adele ring $\mathbb{A}_{\mathbb{Q}}$. The companion bridge paper [2] established that the entropic number $(x, S)$ from Measurement Stratigraphy [3] is precisely the adelic information vector…
Adelic Entropic Numbers: When the Adelic Information Vector Becomes the Entropic Number
Two papers, written independently on the same day, converge on the same structure from opposite directions. Adelic Shannon Theory [1] generalises Shannon information theory to the adele ring $\mathbb{A}_{\mathbb{Q}}$, defining the *adelic information vector…
Adelic Shannon Theory: From Problem Statement to Constructive Foundations
Standard Shannon theory — channel capacity, entropy, source coding, and the Gaussian noise model — is archimedean: it measures information in bits over $\mathbb{R}$. The Adelic Physics Programme's central claim — $\mathbb{Q}$, not $\mathbb{R}$, is the physically accessible base field — suggests that…
Project Rosetta: The Approximation Entropy & The Fractal Limits of Digital Physics — v2.0
V2.0 / Rosetta v4.0 with Planck-Radix Correction + Qudit Manifesto. Corrects V1.0: transmon spectrum IS discrete (Planck quantization), binary truncation is a radix error not physics error. Transmon is a qudit (d~12), not a qubit. S_Base = ln(d/2) ~ 1.79 nats. 11-page PDF.
The Two-Level Lie: The Transmon Is Not a Qubit — And the Entire Field Knows It
v2.0 adds Part II: The Approximation Entropy — a meta-mathematical framework quantifying the irreducible cost of translating continuous bosonic physics to discrete digital computation. Introduces Rosetta Constant, Trotter Wall, and Fractal Wall theorem with a falsifiable calorimetry experimental…
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…
Review of Infomatics and Π-φ Physics Reformulation
This summarizes the main themes and important ideas focused on introducing and developing a novel theoretical framework called Infomatics (Information Dynamics) and its application to reformulating fundamental physics using mathematical constants π and φ (the golden ratio). Infomatics is presented…
Statistics is the Bridge
The universe is not a tale of inevitability but a probabilistic tapestry where every moment teeters between decay and creation, governed by the silent arithmetic of possibility. At its core, this tension is captured by entropy—a measure of disorder often misunderstood as an inexorable slide into…
Autaxys and its Generative Engine
Autaxys and its Generative Engine: Foundations for a New Way of Seeing Reality Rowan Brad Quni, QNFO Prevailing foundational paradigms in science and philosophy encounter significant limitations when addressing the ultimate origin of order, the…
Projective Geometric Frameworks for Semantic Structures
Current critical literature often dismisses Large Language Models (LLMs) as statistical parrots operating via mere stochastic approximation, yet their capacity for cross-lingual zero-shot inference suggests the internalization of deep, invariant topological rules. This study establishes that…
Architecture of Experience
The universe is saturated with a chaotic ocean of energy that we call the electromagnetic spectrum. This spectrum stretches from the longest radio waves, which can be miles long, to the shortest gamma rays, which are smaller than an atom. Between these two extremes lies an infinite gradation of…
Open Thinkers Guide to the Universe
The standard cosmological model describes an expansion of matter and energy into a pre-existing spatial vacuum, conceptualizing the universe as a fragmentation event. However, the thermodynamic state of the early universe presents a significant anomaly for models based on random expansion.…
From Peaks to Pixels
This paper demonstrates the structural isomorphism between the physical quantization of continuous waves (e.g., peak counting) and the information-theoretic process of signal digitization. Using a computational simulation of 50 randomized waveforms, we compare the Shannon entropy of discrete peak…
Thermodynamics of Knowing
This paper re-frames the physical basis of knowledge as a non-equilibrium thermodynamic process. We reject equilibrium models and identify the “Epistemic Cut” as a dissipative phase transition in a driven open quantum system, specifically the Dicke Model. Through mean-field simulations, we…
Emergent Information-Theoretic Electromagnetism Proof
This document presents a comprehensive formal derivation of gauge forces from information-theoretic principles, with a specific focus on the emergence of electromagnetism from information symmetries and the relationship between quantum electrodynamics (QED) and classical electrodynamics (Maxwell’s…
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…
Scale-Invariant Information Thermodynamics Proof
We derive precise, falsifiable formalisms showing how gravity emerges from scale-invariant information dynamics and how all fundamental forces unify under a single information-theoretic principle. The framework is explicitly falsifiable via observational signatures. Axiom 1 (Local Scale Invariance).…
Information Censorship
The concept of “information” permeates contemporary discourse, from physics and biology to computer science and philosophy, yet it remains remarkably elusive and multifaceted. Dominant conceptions often address distinct aspects without necessarily forming a unified ontological picture. Shannon…
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