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2026-01-18 01:15:27 UTC

tj2025 on Nostr: Programs as Anti-Entropic Structures ...

Programs as Anti-Entropic Structures


https://beyondturbulence.blogspot.com/2026/01/programs-as-anti-entropic-structures.html?m=1
https://stacker.news/items/1414142

Abstract.

We formalize a program as a mathematical object whose primary function is to "resist" entropy over time.

We model programs categorically, define entropy as a degrading endofunctor, and introduce clarity as a measurable bound on adaptability.


We present definitions, propositions, lemmas, and proof sketches, along with counterexamples, applications, and thought experiments. The aim is a minimal, logically consistent framework suitable for both theoretical reasoning and pragmatic software engineering.