We present a unified mechanism for cosmic inflation and the origin of the matter--antimatter asymmetry within the framework of History-Dependent Gravity (HDG), in which spacetime dynamics is governed by a causal non-local memory kernel K ( (x, x') ). We show that inflation arises as a dynamical saturation of gravitational memory, leading to a dynamically stable de Sitter attractor without the need for an inflaton field. The exit from inflation is triggered when the Hubble scale becomes comparable to the memory scale H, naturally reheating the Universe through memory dissipation. We further demonstrate that the same kernel, through its imaginary (dissipative) component Im\, K (), generates chiral gravitational waves that source the gravitational Pontryagin density RR, leading to a net baryon number via a novel memory anomaly. The resulting baryon-to-entropy ratio is computed as B 1. 6 10^-9, in agreement with the observed value B^obs 6. 1 10^-10 within O (1) uncertainties, without introducing explicit CP-violating phases. All parameters entering the prediction are fixed either by cosmic microwave background observables (nₛ, r) or by renormalization group flow, yielding a parameter-free memory consistency relation B = F (nₛ, r). This establishes a direct connection between temporal nonlocality, the arrow of time, inflation, and the origin of matter in the Universe, with potentially observable signatures in chiral gravitational wave backgrounds detectable by LISA and CMB B-mode experiments.
Alik Gimranov (Mon,) studied this question.