D_forces_eight_tick
plain-language theorem explainer
Three spatial dimensions force the eight-tick period equal to eight inside the Recognition Science forcing chain. Researchers deriving the octave structure or constants from the phi-ladder cite this step when moving from T8 to the period-8 gate identities. The proof is a direct reflexivity step on the definition of the eight-tick constant.
Claim. Three spatial dimensions force the eight-tick period: $2^3 = 8$.
background
The RRF foundation module derives all physical constants from phi through the chain phi to E_coh to tau_0 to c to hbar to G to alpha inverse. The eight-tick period is the natural number eight that appears as the period of the octave in the forcing chain. Upstream DimensionForcing supplies the definition of the eight-tick period as the constant eight, while the module doc states that constants are derived rather than measured.
proof idea
The proof is a one-line term proof that applies reflexivity to equate two raised to the third power with the eight-tick definition.
why it matters
This theorem supplies the explicit link between D equals three and the eight-tick octave required by the T7 step of the forcing chain. It supports downstream constant derivations such as the IR gate and the alpha inverse formula inside the stated band. No open scaffolding questions are closed by this declaration.
Switch to Lean above to see the machine-checked source, dependencies, and usage graph.