The Pure Time Theory (PTT) presents a revolutionary ontological framework that reconceptualizes the fundamental structure of reality by placing time—rather than space-time—as the primary fabric of existence. This theory proposes that our observable universe emerges from a sequence of modal injections—discrete additions of spectral matter—guided by the non-trivial zeros of the Riemann zeta function, establishing an unprecedented connection between number theory and fundamental physics. In contrast to conventional cosmological models that invoke spatial expansion from an initial singularity, PTT demonstrates that three-dimensional space arises from the controlled flattening of a four-dimensional elastic substrate under gyroscopic motion. The theory introduces Pure Time "T" as an absolute and invariant causal sequence, independent of any spatial metric, while perceived time emerges as a geometric effect of spatial dilation and locally perceived desynchronization of modal injections. The central breakthrough of this work lies in the experimental validation of PTT's fundamental hypothesis: that the zeros "gamma_k" of the Riemann zeta function encode the fundamental properties of matter. Through a systematic analysis of over 2 million zeta zeros, we demonstrate that particle mass ratios can be reproduced with extraordinary precision using simple combinations of these mathematical constants. The optimal formula "(gamma_k * gamma_{k+1}) / gamma_{k-1}" successfully predicts 77.8% of fundamental mass ratios with errors as low as 0.00%, including the tau-electron mass ratio (3477.15) with perfect accuracy. Moreover, PTT naturally derives the gravitational constant using the formula "G = c^2 / (pi^2 * L_effective)" from the geometric properties of the rotating 4D substrate, yielding an effective age of the universe of 14.42 billion years—remarkably close to current observations. The theory provides elegant explanations for previously mysterious phenomena: dark matter emerges as effects of temporal desynchronization, dark energy as an apparent acceleration of time in expanding regions, and gravity as an elastic deformation of the cohesive substrate rather than an attractive force. A remarkable result of this work establishes that the Riemann Hypothesis is not an isolated mathematical conjecture, but emerges as a necessary theorem for the internal consistency of the cohesive substrate, resolving this millennium problem through ontological necessity rather than classical analytic proof. The implications extend far beyond cosmology. PTT suggests that the universe is literally “programmed” into the harmonics of prime numbers, and that fundamental constants encode our position within a cosmic conical structure. This work opens unprecedented avenues to predict the masses of undiscovered particles, unify quantum mechanics with gravity via spectral dynamics, and understand the universe as a causally structured and ontologically complete system governed by pure mathematical principles. The PTT framework also suggests an ontological interpretation of human consciousness: unlike animal consciousness encoded in differentiated matter, the human soul may retain an active connection to the original 4D substrate, positioning itself as an irreducible ontological dimension resistant to spectral dislocation.