IndisputableMonolith.Flight.Geometry
Flight.Geometry supplies geometric primitives for RS spiral-field propulsion models, centering on the tetrahedral angle arccos(-1/3) and invariant log-spiral step ratios. Researchers constructing virtual rotors, Tesla turbines, or Searl candidates would cite these when building φ-scaled flight geometries. The module aggregates definitions from upstream bond-angle minimization and spiral-field ansatzes without new theorems.
claimThe φ-tetrahedral angle is $arccos(-1/3)$ radians. Rotor paths follow logarithmic spirals with step ratios invariant under initial radius and closed-form expressions under φ-scaling.
background
This module sits in the Flight domain and imports the RS time quantum τ₀ = 1 tick, the variational ansatz for logarithmic spiral fields under φ-scaling and eight-tick gating, and the tetrahedral angle derivation. The upstream BondAngles module states: 'The tetrahedral bond angle θ = 109.47° = arccos(-1/3) arises from minimizing J-cost for 4 equivalent bonds around a central atom.' Sibling definitions cover rotor pitch, logSpiral_ne_zero, stepRatio_logSpiral_closed_form, and perTurn_ratio.
proof idea
This is a definition module, no proofs. It declares angles, paths, and ratios by direct reference to the imported BondAngles and SpiralField structures.
why it matters in Recognition Science
The module feeds the Flight facade, GravityBridge for ILG weight kernels, Report helpers, SolidState VirtualRotor for phased-array physics, TeslaTurbine as φ-spiral engine, and Searl Effect candidates. It supplies the geometric layer linking to the φ-lattice and eight-tick octave in the RS chain.
scope and limits
- Does not derive equations of motion or thrust.
- Does not specify material limits or energy inputs.
- Does not address experimental falsifiers.
- Does not extend to full dynamical simulations.