We propose the Aldon Theory of Primordial Energy Waves (ATPEW), a unified theoretical framework in which spacetime, gravity, and quantum phenomena emerge from a single underlying energy wave characterized by an amplitude (A^\hat{A}A^) and a local phase velocity (Cˇ\check{C}Cˇ). In this approach, time is treated as an emergent dynamical quantity rather than a fundamental background parameter. ATPEW offers mechanical interpretations for several open problems in fundamental physics, including gravitational dynamics, cosmological expansion, and quantum nonlocal correlations. Dark energy is associated with a minimal wave amplitude, while dark matter phenomenology is reinterpreted as spatial variations of the local phase velocity. Quantum entanglement and decoherence are described in terms of synchronization and desynchronization of local temporal rates. The framework admits a relativistically consistent and covariant scalar-field reformulation, ensuring compatibility with established symmetry principles. Crucially, ATPEW leads to multiple independent and falsifiable predictions across a wide range of physical regimes. These include galactic rotation curves (SPARC database), Solar System dynamics such as Mercury’s perihelion advance, anomalous spacecraft accelerations (Pioneer), Earth–Moon distance evolution measured by lunar laser ranging, and a dynamical contribution to gravitational time evolution testable with high-precision space–ground clock comparisons (ACES mission). This work presents ATPEW as an explicitly testable framework whose validity can be assessed using existing observational data, space missions, and near-future experiments, inviting critical scrutiny and independent verification. Version 4 (January 2026). Aldon, M. (2026). Unifying Space-Time, Gravity, and Quantum Mechanics through a Primordial Energy Wave. Zenodo. DOI: 10.5281/zenodo.18296240