Emergent Inertia: Deriving \(F = ma\) from Confinement Vortex Dynamics within the Higgs Ambient Vacuum

This paper presents a novel academic framework that derives Newton’s Second Law (F = ma) as an emergent geometric and energetic property of space rather than an unprovable, starting axiom. By modeling a hadron as a localized, hyper-dense quantum vortex of quarks and gluons, the author demonstrates that inertial resistance is a direct consequence of accelerating a localized, quantized spinning system against the ambient 246.22 GeV Higgs vacuum field. Through a metric-driven reverse calculation grounded in the experimental rest mass of a proton, the model unifies Quantum Chromodynamics (QCD) vortex dynamics, electroweak field constraints, and classical kinematics into a single grand expression. Additionally, the paper provides a mathematical proof for the structural exemption of massless gauge bosons (such as photons) within this framework, explaining why they do not experience classical inertial mechanics. This work offers a fresh perspective on the quantum origins of mass and classical inertia.