This paper presents a Chronos-theoretic model of the weak nuclear force, reframing it not as a boson-mediated interaction, but as a localized and asymmetric instability in the structured time field. Within this framework, weak interactions arise from rapid, skewed distortions in temporal curvature—sharp coherence ruptures that trigger decay and transmutation events at sub-femtometer scales. The proposed mathematical model describes the weak force as a Gaussian compression spike modulated by an asymmetry term, capturing the force's extreme short range, parity violation, and directional preference without relying on $W$ and $Z$ boson exchange. Graphical simulations illustrate how the time field rupture evolves spatially and supports the observed behaviors of weak interactions. This work strengthens the broader Chronos hypothesis: that all fundamental forces emerge from structured gradients and feedback mechanisms within time itself. The model advances a unified understanding of particle decay, temporal asymmetry, and mass transitions grounded in the curvature dynamics of time.