Toward a Frequency-Driven Dynamics: Soumendra Nath Thakur | ORCiD: 0000-0003-1871-7803 July 26, 2025 Abstract: Extended Classical Mechanics (ECM) introduces a unified frequency-based paradigm in which total energy, Eₜₒₜₐₗ, comprises potential energy (PEᴇᴄᴍ) and kinetic energy (KEᴇᴄᴍ), both arising from vibrational displacement of matter mass (ΔMᴍ). Crucially, ECM categorizes kinetic energy into two dynamical regimes: subluminal (v < c) and luminal or superluminal (v ≥ c). In subluminal systems, kinetic energy is partially governed by classical velocity, while in luminal/superluminal systems, it becomes entirely frequency-defined. To bridge this asymmetry, ECM proposes a dual-origin model of mass displacement, where ΔMᴍ arises from both de Broglie wave inertia (ΔMᴍ(dB)) and Planck-based quantization (ΔMᴍ(P)), yielding a composite kinetic term: KEᴇᴄᴍ = (ΔMᴍ(dB) + ΔMᴍ(P)) c² = hf(dB) + hf(P) This reformulation extends de Broglie’s relation M = hf/c² beyond inertial frames to dynamically evolving gravitational contexts, where apparent mass (Mᵃᵖᵖ) can exceed matter mass (Mᴍ), triggering a polarity shift in gravitating mass (Mɢ). Specifically, when Mᵃᵖᵖ ≥ Mᴍ, ECM predicts Mɢ ≤ 0, marking a transition from gravitational binding to anti-gravitational liberation. This condition dynamically activates latent potential energy into kinetic form and characterizes the repulsive behaviour of dark energy and luminal photons. ECM thus challenges the classical view of mass as inherently gravitational and static. Instead, mass becomes a contextual and emergent vibration—quantified and mobilized by frequency, gravitational differentials, and energy displacement. With mass-frequency equivalence now fully embedded across all regimes, ECM establishes frequency as the foundational parameter governing energy, gravity, and cosmic structure. This approach reinterprets Newtonian and relativistic constructs through vibrational causality and bridges local and universal gravitational potentials via dynamic, quantized mass evolution. Keywords: Extended Classical Mechanics (ECM); Frequency-based dynamics; Kinetic energy; Mass displacement; Apparent mass; Anti-gravity; Gravitational polarity; de Broglie mass-frequency relation; Planck quantization; Dark energy; Subluminal and superluminal regimes; Vibrational causality; Effective mass; Quantum gravitational transitions; Energy emergence; Matter liberation; Dynamic spacetime structure, Mathematical Presentation and rest sections are withheld till publication....