Time as Interaction Count: A Relational Reconstruction of Quantum Temporal Phenomena

A single relational postulate — that time is the accumulated count of physical interactions — together with standard quantum mechanics and Lorentz invariance, is shown to reproduce the quantum speed limit, gravitational-redshift cancellation, Pikovski decoherence, the Salecker–Wigner–Peres clock bound, standard-quantum-limit clock stability, causal-set momentum diffusion, dimensional reduction, and relativistic time dilation — and to be observationally indistinguishable from standard physics across seven surveyed channels. A recurring theme is scale: the framework's sharpest contact with quantum gravity is scale-dependent — a spectral dimension that runs from four to two toward the Planck scale, a minimum resolvable timescale where the quantum speed limit meets the black-hole bound, and a ghost-free dimensional reduction that singles out the time direction. The contribution is conceptual unification and a transparent re-expression of relativistic time, not new phenomenology. All quantitative claims are reproduced by open Python scripts (linked repository).