Emergence of Time, Geometry, and Matter from Relational Coherence

This paper introduces a vibrational cosmology in which space is defined as a relational geometry of phase coherence, and time emerges as a consequence of change within that geometry. Rejecting the notion of creation ex nihilo, the framework proposes that space is eternal and that the universe transforms rather than originates. The Big Bang is reinterpreted as a phase transition in a coherent vibrational field, leading to the emergence of time, potential energy, and matter. Black holes are reframed as regions of relational stasis — echoes of the origin where time collapses and geometry returns to equilibrium. The model aligns with general relativity, quantum field theory, and observational cosmology, while offering a deeper metaphysical foundation for the structure and evolution of reality. It introduces the concept of coherence drift as an alternative to dark energy, and proposes a unified framework for understanding time, geometry, and matter as emergent phenomena. This work is intended for researchers and theorists interested in foundational physics, metaphysics, cosmology, and the operational modeling of reality.