Vibrational Time Theory

Building upon the foundational study Interactions of Light, Matter and Space: A New Perspective on Dynamics of Time (Benaglia, A.A, 2023), this work advances the theoretical and mathematical formalization of the proposed model, expanding its conceptual framework and scientific testability. Understanding the nature of time remains one of the greatest challenges in modern theoretical physics. While general relativity describes time as a dynamic dimension influenced by gravity, quantum mechanics treats it as an absolute external parameter, revealing a fundamental divergence between these frameworks. In this context, this paper proposes the Vibrational Time Theory (VTT), which interprets time as an emergent frequency generated by the vibration of light interacting with the curvature of space-time. Formalized through the equation T (r, E) = β · R(r) · E2, the theory introduces vibrational time density as a dynamic field modulated by electromagnetic energy and local curvature. The constant β is derived from fundamental physical constants, linking the model to the Planck scale. Theoretical simulations and comparisons with experimental data show consistency with known relativistic effects and suggest a spectral-layered structure of time. The study also outlines a roadmap for future experimental validation, including multispectral interferometry, atomic clocks under spectral illumination, and orbital missions with modulated light. VTT emerges as an original, testable, and conceptually rich frame-work, bridging relativity, quantum theory, and the geometry of space-time.