IndisputableMonolith.Physics.ClassicalMechanicsDepthFromRS
The module establishes that conservation laws in the Recognition Science model of classical mechanics require exactly three spatial dimensions. Researchers deriving mechanics from the J-cost functional and the forcing chain would cite it. The structure assembles the MechanicsFormulation, conservationLaws, and equilibrium conditions to reach the dimension result via the Recognition Composition Law.
claimConservation laws imply $D=3$ in the Recognition Science treatment of classical mechanics.
background
The module imports the Cost definitions, where the J-cost satisfies the Recognition Composition Law J(xy) + J(x/y) = 2J(x)J(y) + 2J(x) + 2J(y). It introduces MechanicsFormulation as the classical mechanics setup in RS-native units (c=1) and defines conservationLaws as the central property. The local theoretical setting extends the forcing chain (T0 to T8) to mechanics, with the eight-tick octave fixing D=3.
proof idea
This is a definition module, no proofs. It organizes the classical mechanics content into the formulation, count, equilibrium conditions, and the conservationLaws_eq_D link.
why it matters in Recognition Science
The module supplies the classical mechanics foundation that supports ClassicalMechanicsDepthCert. It realizes the T8 step of the forcing chain by showing conservation laws force D=3, consistent with the phi-ladder and RCL.
scope and limits
- Does not derive explicit force laws or potentials.
- Does not address time-dependent or relativistic dynamics.
- Does not extend to quantum regimes or Berry creation.
- Does not compute numerical values for G or alpha.