Dynamical Localized Wave Packet Theory (DLWPT): Bounding and Deriving the Coherence Inertia Constant Γ
Eric Aboagye Amankwah
Abstract
This paper investigates the coherence inertia constant (Γ), the sole new parameter introduced in the Dynamical Localized Wave Packet Theory (DLWPT). By combining experimental constraints from attosecond wavepacket physics and high-precision hydrogen spectroscopy with multiple independent theoretical derivations, the study demonstrates that Γ² converges naturally to the Planck-scale relation Γ² = ℏtₚ. The work establishes Γ not as a free adjustable parameter, but as a quantity fixed by the internal consistency of the DLWPT framework. The manuscript further explores the implications of this result for quantum coherence, wavepacket dynamics, Planck-scale phenomenology, and the foundations of quantum mechanics.