IndisputableMonolith.Physics.AcousticsFromRS
The module derives acoustic phenomena from Recognition Science by linking them to the eight-tick octave. It introduces AcousticPhenomenon together with dftModes and certifies that DFT-8 modes equal exactly 2^3. Physicists tracing wave modes to the T7 step in the forcing chain would cite this module. The structure consists of definitions and a direct certification with no complex proofs.
claimThe module defines AcousticPhenomenon and certifies that the discrete Fourier transform modes on the eight-tick period satisfy $dftModes_8 = 2^3$.
background
The module imports Constants, whose doc-comment states: "The fundamental RS time quantum (RS-native). τ₀ = 1 tick." It operates in the physics domain and introduces the sibling definitions AcousticPhenomenon, acousticPhenomenonCount, dftModes, dftModes_8, AcousticsCert and acousticsCert. The module doc-comment states DFT-8 modes = 2^3, directly realizing the eight-tick octave (period 2^3) from the forcing chain.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
This module feeds the acoustic sector of the Recognition Science framework by realizing the eight-tick octave (T7) for wave phenomena. It supplies the definitions that support AcousticsCert and acousticPhenomenonCount, connecting the forcing chain to acoustic modes.
scope and limits
- Does not derive wave equations or propagation speeds.
- Does not address interactions with other physics sectors such as electromagnetism.
- Does not provide numerical simulations or experimental mappings.