IndisputableMonolith.Physics.ElectromagneticSpectrumFromPhiLadder
This module defines the electromagnetic spectrum bands from the phi ladder in Recognition Science and identifies the cortical carrier at 5φ ≈ 8.09 Hz as the fundamental biological frequency. Biophysics researchers deriving constants from the RS framework would cite these band definitions and the EMSpectrumCert. It is a definition module that introduces EMBand, bandFrequency, corticalCarrier and related objects without proof obligations.
claimThe module defines electromagnetic bands (EMBand) with frequencies $f = ext{bandFrequency}(n)$ scaled from the phi ladder by the time quantum $ au_0$, ratios $ ext{bandRatio}$, count $ ext{emBandCount}$, cortical carrier at $5 \phi$, and spectrum certification $ ext{EMSpectrumCert}$.
background
The module imports IndisputableMonolith.Constants, whose doc-comment states that $ au_0 = 1$ tick is the fundamental RS time quantum. It introduces definitions for EMBand, emBandCount, bandFrequency, bandRatio, corticalCarrier, corticalCarrier_band, EMSpectrumCert and emSpectrumCert. The local setting is the Recognition Science framework in which frequencies and biological carriers are obtained from the phi ladder.
proof idea
this is a definition module, no proofs
why it matters in Recognition Science
The module supplies the electromagnetic spectrum objects that extend the phi ladder into frequency bands and positions the cortical carrier $5 \phi$ as the biological link. It feeds downstream spectrum certification and applications that connect RS constants to observed EM and cortical rhythms.
scope and limits
- Does not derive Maxwell equations or QED from the phi ladder.
- Does not compute explicit numerical frequencies beyond the cortical carrier.
- Does not prove numerical match to the full observed EM spectrum.
- Does not address interactions between bands or quantum corrections.