The Ahmadov Constraint Theory (ACT) derives dark matter abundance as 84-85% from the single axiom that constraint exists in physical systems (Aut(U) ⊊ Sym(U)). Two independent mathematical methods yield predictions agreeing with Planck 2018 measurement (84.38% ± 1%) within observational error. Method I (Topological): Euler characteristic χ(Spin(8)/G₂) = 32 and electroweak doublet count 6 = rank(G₂) × τ yield 32/38 = 84.21%. Method II (Geometric): Dimensional compression (21-π)/21 from geodesic circle on S⁶ ≅ G₂/SU(3) at fundamental G₂ angle 30° yields 85.04%. Methods converge via sin⁵(30°) = 1/32. Physical mechanism derives from standard mathematical physics: cohomology theory establishes topological modes possess energy-momentum without gauge coupling, Noether's theorem yields stress-energy tensor, equipartition theorem distributes early-universe energy by mode count. Predicts null direct detection (σ = 0 exactly) as geometric necessity, not adjustable property. Zero free parameters throughout. All results traced to constraint axiom forcing octonions (Hurwitz) and G₂ automorphism group (Cartan). Related resourcesAdditional preprints, theoretical frameworks, and ongoing work by the author are available at:https://murad-ahmadov.github.io/
Murad Ahmadov (Thu,) studied this question.