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Results for “foundations” 2 papers

Information theory. Entropy, capacity and coding bounds Tagged papers: 46.

  1. Numbers & p-adicsv1.2.0

    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…

  2. Cross-cutting essays

    Autaxys and its Generative Engine

    Prevailing foundational paradigms in science and philosophy encounter significant limitations when addressing the ultimate origin of order, the nature of physical laws, and the genesis of patterned reality from first principles. This article introduces autaxys as a candidate fundamental…

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