This work proposes a deeper development of chronovibrational theory by introducing the quantization of the temporal field psi(t), which is promoted to a quantum operator psi-hat(t) defined over a Hilbert space. Time is thus interpreted as a dynamic and quantizable physical variable, subject to observable residual fluctuations. This approach allows us to model the residual quantum imperfections of chronovibration - a decaying "cosmic beat" originating from the Big Bang - and provides a coherent framework for the emergence of time within a harmonic and dissipative cosmology.The aim is to predict measurable effects, including post-merger gravitational echoes, metrological instabilities, and interference phenomena induced by coupling with external fields. A chronovibrational transfer matrix is introduced, along with a set of experimental protocols - both passive (e.g., LIGO, atomic clocks) and active (e.g., ITER, modulated RF fields) - capable of falsifying or confirming the model. Energy dynamics are rendered conservative through a second scalar field Psi(t), acting as a vibrational memory and regulator of phase transitions.Overall, this model represents a first testable theoretical proposal for a quantum reformulation of time, unifying aspects of canonical quantum gravity, scalar-tensor theories, and emergent cosmology into a single observable harmonic structure. It does not claim to be exhaustive in any way.