Vibrational Origin of Gravity and Mass: A Mathematical Confirmation of the Weber Hypothesis

This paper presents a vibrational origin of gravity and mass, offering mathematical confirmation of the Weber Hypothesis: that all mass emerges not from intrinsic substance but from the oscillatory motion of particles near the speed of light. Using a corrected Planck constant $h′$, we establish a universal mass–frequency law: m=h′fc2.m = \frac{h′ f}{c^2}.m=c2h′f. This formulation reframes mass as an emergent property of vibration and gravity as a resonance field, bridging quantum mechanics, general relativity, and photon-driven curvature generation. Key Contributions Mass–Frequency Identity → A rigorous derivation showing mass arises directly from vibration. Photon as Curvature Carrier → Proof that photons, though massless at rest, create spacetime dimples through vibrational momentum. Resonant Stress–Energy Tensor → Reformulation of Einstein’s field equations to incorporate frequency-driven resonance terms. Worked Example → Demonstrates how a gamma-ray photon manifests an effective inertial contribution. Experimental Validation → Six proposed tests, from high-frequency resonance chambers and interferometric modulation to pulsar timing and cosmological lensing signatures. Broader Implications This framework elevates vibration from a secondary property to the fundamental generator of mass, gravity, and curvature. It unifies particle physics and cosmology under a single principle: vibration generates mass, and mass generates gravity. The theory suggests practical directions for artificial gravity generation, offers a new lens for interpreting high-frequency astrophysical phenomena, and strengthens the path toward a unified theory of quantum and relativistic physics. RJW