Theoretical study reveals complete field unification via Clifford bundle spectral saturation, indicating testable cosmological signatures and singularity-free spacetime.
Key Points
To formulate a mathematically complete unified field theory using a quadratic operator saturation constraint over a Clifford bundle while establishing unitarity, anomaly cancellation, and parameter rigidity.
Decomposed a quadratic operator constraint X² - 3X = 0 within a flat MacDowell-Mansouri-Cartan super-connection on a Cl(1,3) ⊗ Cl(6) bundle over a T⁶/Z₃ orbifold.
Computed triple overlap integrals of harmonic spinor wavefunctions across orbifold fixed points to derive Yukawa tensors and flavor mixing matrices from first principles.
Utilized the Atiyah-Singer index theorem for anomaly cancellation and incorporated a Lee-Wick gravitational structure with complex-conjugate poles.
Generated exactly three chiral fermion generations via Spin(8) triality, deriving full rank-3 Yukawa tensors, fermion mass hierarchies (mt/me ~ 10⁵), and complete CKM and PMNS matrices.
Achieved moduli stabilization at τ = exp(2πi/3) with Planckian mass and eliminated spacetime singularities via regular de Sitter cores (K ≤ mp⁴) and a cosmological quantum bounce.
Predicted a stable 4.8 TeV cold dark matter singlet, proton longevity of τp ~ 10³⁶ years, and testable cosmological parameters including r = 0.00167, ns = 0.9667, and αs = -0.00055.
Cite This Study
Bertrand Pierre-Louis DUHAY (2026) studied this question.