church_turing_physics_from_ledger
plain-language theorem explainer
The Church-Turing physics property asserts that physical processes remain computable under the Recognition Science ledger. Researchers deriving simulation hypotheses or physical computability bounds would cite it as the base proposition for IC-003. The definition is a direct abbreviation that inherits its content from the computation limits statement.
Claim. The proposition that physical processes are computable is defined as the statement that computation limits follow from the ledger structure.
background
The module derives the physical Church-Turing thesis from the discrete ledger: each entry is a positive real ratio, yet dynamics are governed by the 8-tick operator on a finite phase space. Finite memory per tick and computable J-cost minimization steps ensure no hypercomputation is possible at rate 1/τ₀. Upstream, the Physical structure supplies the minimal assumptions that c, ħ and G are positive, while the tick definition sets τ₀ = 1 and the phase definition supplies the eight angles kπ/4 for k in Fin 8.
proof idea
This is a one-line definition that directly sets the proposition equal to computation_limits_from_ledger.
why it matters
The definition anchors IC-003.5 and supplies the hypothesis for church_turing_implies_limits, church_turing_physics_structure, and the simulation hypothesis theorems. It closes the discrete-ledger route to the eight-tick octave and shows that irrationality of φ does not produce non-computable dynamics. Downstream results quote it to establish that RS processes lie in BQP.
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