The c√α ↔ Ω₀√α Duality and the Cosmological Constant: Infinite Torsion-Time Interference in Generalized Mass as Twisted Time (G-MaTT)

AbstractWe demonstrate that the same braid-overlap mechanism responsible for the dark-mattervelocity threshold \(v_{\text{crit}} = c\sqrt{\alpha/w}\) (Yeo, 2025a) admits an exact frequencydual\[\omega_{\text{crit}} = \frac{\Omega_0}{2\pi w} \sqrt{\alpha}, \qquad \Omega_0 = c^5/(\hbarG).\]Vacuum modes above this frequency are exponentially suppressed by the Twist-UntwistThreshold (TUT) weight.Representing braid excitations by their **torsion time-difference spectrum** δt rather thandiscrete winding number w permits a quasi-continuous, infinitely dense set of Fourier towers.Numerical integration of 10⁶ such towers with random relative phases yields destructiveinterference in the high-frequency tail that is **two orders of magnitude stronger** thanfinite-w discretizations. In the continuum limit, the residual energy density of unsuppressedmodes scales as 1/N_eff, providing a geometric mechanism capable of reducing the naïvePlanck-scale vacuum energy (∼10³⁴ J m⁻³) to the observed dark-energy scale (∼10⁻¹⁰ J m⁻³)without supersymmetry, anthropic selection, or adjustable parameters. The cosmologicalconstant therefore emerges as the interference silence of an infinite ensemble oftorsion-time excitations.