OMEGA_NS_GEOMETRIC_EXTENSION/1.0
SymPy 1.14.0
PASS: K squared equals identity
PASS: K is symmetric
PASS: K is traceless
PASS: K preserves the golden quadratic form infinitesimally
PASS: Fibonacci matrix reverses the golden norm
PASS: normalized matrix norm identity
PASS: spectral projectors are orthogonal
PASS: positive spectral projector is idempotent
PASS: negative spectral projector is idempotent
PASS: positive golden observation has eigenvalue one
PASS: conjugate observation has eigenvalue minus one
PASS: golden hyperbolic flow preserves norm
PASS: three dimensional flow preserves volume
PASS: two parameter group law
PASS: scalar observation of the deformation
PASS: cubic material invariant under the finite deformation
PASS: affine incompressibility
PASS: affine viscous Laplacian vanishes
PASS: full affine Navier Stokes momentum residual is zero
PASS: material derivative of cubic invariant vanishes
PASS: finite deformation solves particle flow equation
PASS: vector potential recovers affine velocity
PASS: arbitrary smooth spatial cutoff preserves divergence
PASS: localized velocity product rule
PASS: continuous golden flow equals M squared
PASS: normalized golden flow equals A squared
PASS: swirling branch force identity
PASS: swirling branch vorticity
PASS: golden quadratic mean defect equals stress contraction
PASS: golden stress bound spectral constant
PASS: icosahedral first moment
PASS: icosahedral second moment
PASS: exact cubature of affine squared speed
PASS: exact counterexample separating iterated quantization and final rounding
TOTAL: 34 exact checks
SCOPE: symbolic identities; smooth localization is proved in the PDF; no Lean build or blowup verification.