Quantum Chronography and The Fabric of Space-Time:Operational Limits of Temporal MeasurementIn Curved Spacetime

The fundamental nature of time at microscopic scales remains an unsolved problem at the intersection of quantum mechanics and general ‎relativity. This study presents Quantum Chronography, a theoretical framework for analyzing the operational and physical limits of time ‎measurement arising from quantum uncertainty, spacetime curvature, and stochastic metric fluctuations. By integrating the energy–time uncertainty principle with Planck-scale constraints and gravitational backreaction, a lower bound on measurable time intervals is derived. The ‎framework predicts an intrinsic, irreducible temporal uncertainty that grows sublinearly with the measured interval, forming a stochastic ‎lattice of time quanta in regions of significant curvature. Implications for high-precision astronomical timing, including pulsar observations ‎and atomic clock networks, are discussed. Rather than proposing a complete theory of quantum gravity, this work focuses on the physically ‎measurable consequences of quantum and gravitational effects on time. The research results provide a novel operational perspective on the ‎emergent nature of time, bridging concepts from quantum gravity and observational chronometry‎.