1. Finite but Vast Human‑Understandable Theory Space

- Human‑usable theories = symbolic structures with bounded alphabet \(A\) and length \(L\).

- Even with \(A \sim 10^3\), \(L \sim 10^4\), total space ≈ \(10^{30,000}\).

- Enormous but finite; far smaller than physical or neural microstate spaces.

- Human cognition restricts usable theories: limited working memory, chunking, attention, and symbolic bandwidth.

2. Structure of the Real World Enables Compression

- Universe is highly structured: symmetries, locality, conservation laws.

- Human mathematics is structured: algebraic, geometric, analytic regularities.

- Language and thought are structured: compositional semantics, Montague‑style mappings.

- This structure makes deep compression and unification possible.

3. Classical ...