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Results for “thermodynamic” 8 papers
Information theory. Entropy, capacity and coding bounds Tagged papers: 46.
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…
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…
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…
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…
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.…
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).…
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