IndisputableMonolith.Physics.AcousticsFromRS
This module derives acoustic phenomena from Recognition Science by establishing DFT-8 modes equal to 2^3. It defines AcousticPhenomenon, dftModes, AcousticsCert and related counts using the RS time quantum. Physicists studying discrete wave systems cite it for its direct mapping of acoustics onto the eight-tick octave. The module consists of sibling definitions that organize these objects without internal theorems.
claimDFT-8 modes = $2^3$, with AcousticPhenomenon and AcousticsCert defined over the RS time quantum τ₀.
background
The module sits inside Recognition Science physics and imports the fundamental time quantum τ₀ = 1 tick from Constants. It introduces acoustic objects that reflect the period-8 structure already present in the forcing chain. Sibling definitions such as dftModes, dftModes_8 and acousticPhenomenonCount formalize mode counting and certification for wave phenomena.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
The module supplies the acoustic layer that realizes the eight-tick octave (T7) inside the forcing chain. It feeds downstream physics derivations by certifying that discrete Fourier modes arise directly from the 2^3 periodicity fixed at T7.
scope and limits
- Does not derive continuous-limit wave equations.
- Does not contain numerical simulations or frequency spectra.
- Does not address damping or nonlinear acoustic effects.