Compounding Dynamics

This preprint introduces the Compounding Temporal Metric (CTM), a new framework proposing that the observed cosmic acceleration is not due to Dark Energy, but is an inherent property of temporal metric itself. The CTM defines observed proper time as compounding exponentially with coordinate time, governed by the Temporal Compounding Rate. This formula eliminates the need for Dark Energy in the cosmological model. The CTMis empirically testable via a direct conflict with standard model: it predicts that the time dilation of Type la Supernovae light curve duration must follow an exponential relationship, contrasting with the standard linear model.