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

Abstract We demonstrate that the same braid-overlap mechanism responsible for the dark-matter velocity threshold \(v_{\text{crit}} = c\sqrt{\alpha/w}\) (Yeo, 2025a) admits an exact frequency dual \[\omega_{\text{crit}} = \frac{\Omega_0}{2\pi w} \sqrt{\alpha}, \qquad \Omega_0 = c^5/(\hbar G).\]Vacuum modes above this frequency are exponentially suppressed by the Twist-Untwist Threshold (TUT) weight. Representing braid excitations by their **torsion time-difference spectrum** δt rather than discrete winding number w permits a quasi-continuous, infinitely dense set of Fourier towers. Numerical integration of 10⁶ such towers with random relative phases yields destructive interference in the high-frequency tail that is **two orders of magnitude stronger** than finite-w discretizations. In the continuum limit, the residual energy density of unsuppressed modes scales as 1/N_eff, providing a geometric mechanism capable of reducing the naïve Planck-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 cosmological constant therefore emerges as the interference silence of an infinite ensemble of torsion-time excitations.