NautilusConfig
NautilusConfig collects the core engineering parameters for a Nautilus-class device as an integer stiffness value kappa, a positive coil count, and a default of eight commutation phases. Modelers of Class C technological access paths cite this structure when specifying hardware in the superhuman tier system. The declaration is a direct structure definition with no attached computation or lemmas.
claimA Nautilus configuration consists of an integer stiffness parameter $k$, a positive natural number $n$ of coils, and a natural number of commutation phases that defaults to 8.
background
The module encodes the Nautilus-class technological access path for Class C powers, treating power tiers as structural model definitions and engineering parameters as drawn from the NTL provisional patent stack. Upstream definitions supply the kappa field: one sets kappa(k) = phi^k for thermal conductivity regimes on the phi-ladder, while another defines kappa as (log phi)^2 for annular cost. The cellular automata radius supplies a unit neighborhood but is not referenced in the structure fields.
proof idea
The declaration is a direct structure definition that introduces the four fields kappa as an integer, n_coils as a natural number together with its positivity witness, and commutation_phases defaulting to 8. No lemmas or tactics are applied.
why it matters in Recognition Science
This structure supplies the concrete engineering parameters required by the Nautilus power tiers inside the Class C technological access path. It links to the Recognition framework through the phi-ladder via the kappa parameter, which inherits its interpretation from upstream phi-power and log-phi definitions. No downstream uses are recorded, leaving open its integration with full tier mappings and Gap-45 safety.
scope and limits
- Does not assign concrete numerical values to kappa or the coil count.
- Does not derive any functional relations among the parameters.
- Does not include the phi-log-spiral radius formula or its derivation.
- Does not embed Gap-45 safety constraints or proofs.
formal statement (Lean)
60structure NautilusConfig where
61 kappa : ℤ
62 n_coils : ℕ
63 n_coils_pos : 0 < n_coils
64 commutation_phases : ℕ := 8
proof body
Definition body.
65
66/-- The φ-log-spiral radius function: r(θ) = r₀ · φ^(κθ/2π). -/