CONTRARIAN AUDIT REPORT — EQUATIONS_SPEC.txt v1 Date: 2026-03-20 Result: 2 CRITICAL, 8 HIGH, 8 MEDIUM, 2 LOW — SPEC REQUIRES v2 CRITICAL: #1 Missing potential term V(psi,A) = omega_0^2 psi(1+A/A_ref) — equation doesn't match source #11 Boundary conditions never specified HIGH: #2 Amplitude coupling half-implemented without potential term #5 "Both normalized to unit sphere" false — V at sqrt(2), D at 1.0 #7 C_potential uses energy density, theory says curvature (2nd derivative) #9 "No additional terms" checklist masks MISSING terms #12 Grid resolution, domain size unspecified #13 CN(x) undefined for continuum field #17 "Does not include" omits spillover and misframes phi MEDIUM: #3 nabla^4 notation means biharmonic, not 4D Laplacian #8 CFL lacks safety factor and grid assumptions #10 Energy conservation impossible with active sources #14 r=0.5 ceiling citation wrong (should be math_framework, not theory.txt 24-28) #15 Rectangular window creates FDTD Gibbs artifacts #18 Audit checklist missing 9 items #19 Three conflicting source placement options, no primary #20 No units system defined LOW: #6 Self-dual rotation involves scaling, not just rotation #16 c_4D = 1+sin(45) has no derivation — label as heuristic ADDITIONAL (from gotcha review + user directive): - 5D overflow dimension needed when r->0.5 in 4D - c_eff must be uniform across grid (prior engine gotcha) - CFL in 4D with c=1.8 will produce tiny dt — runtime concern