IndisputableMonolith.Physics.PlasmonicModesFromPhiLadder
This module establishes definitions for plasmonic modes derived from the phi-ladder in Recognition Science physics. It supplies types for modes, counting functions, frequency computations, ratios, positions, and certification objects. The module depends only on the Constants import for the base time unit. It functions as a foundational layer supplying objects for plasmonic analysis with no theorems proved.
claimDefinitions of plasmonic modes, their counts, frequencies, frequency ratios, positions, and certificates, all constructed from the $\phi$-ladder.
background
The module sits in the Physics domain and imports the RS time quantum $\tau_0 = 1$ tick from IndisputableMonolith.Constants. It introduces plasmonic modes whose properties follow the phi-ladder structure, extending the yardstick * $\phi$^(rung - 8 + gap(Z)) mass formula to electromagnetic modes. The setting assumes the Recognition Composition Law and the self-similar fixed point $\phi$ from the T0-T8 forcing chain.
proof idea
this is a definition module, no proofs
why it matters in Recognition Science
The module supplies base definitions for plasmonic mode analysis in RS physics, feeding into applications of the eight-tick octave and D=3 to plasma phenomena. It supports connections to the alpha band and Berry creation threshold via the phi-ladder.
scope and limits
- Does not prove any theorems about mode existence or frequencies.
- Does not import the full UnifiedForcingChain or mass formula.
- Does not provide numerical values or explicit connections to G or alpha.