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Information Theory

Entropy, Signal, and Meaning

🔹 Distinction‑first 🔹 Coherence‑driven 🔹 Operator‑aligned 🔹 Zero drift

Information as Structured Distinction

Information Theory here is not abstraction; it is the quantification of resonance and uncertainty, where signal and noise define the limits of communication and understanding.

Module Identity

  • Information = structured distinction.
    Distinctions are structural units, not symbols, bits, or semantic tokens.
  • Coherence = distinction stability.
    A system is coherent when its distinctions remain identifiable, non‑degenerate, and operator‑stable across regimes.
  • Signals = operators.
    Signals are operators acting on distinction spaces, not “messages” that must be interpreted.

Regimes & Scope

  • R0 → R3 compatible.
    From primitive distinctions (R0) to dimensional operators (R3), with coherence preserved across transitions.
  • Substrate‑neutral.
    Not tied to channels, media, or semantics; usable for physics, cognition, computation, and more.
Distinction‑first Coherence‑based Operator‑driven RTT‑aligned Zero drift