Luxian Mechanics is a first‑principles, mechanical field theory in which all matter, radiation, and gravitational effects arise from excitations in a continuous, compressible medium called Luxia. In this model, gravity is a pressure gradient in the medium, electromagnetism is a torsional mode, and particles are stable soliton structures of finite size. The properties of the Luxia medium—density, stiffness, and wave speeds—can be measured independently from astronomical observations, such as lunar orbital drift anomalies, without reference to atomic or quantum experiments. Once determined, these constants allow direct calculation of particle properties from geometry and field mechanics alone.

Here, the electron is modelled as a stable torsional soliton with a characteristic radius set by the medium’s natural length scale and mode factor from soliton stability analysis. Using only Luxia density (ρ_L) and torsional wave speed (c_L) derived from gravitational data, along with the soliton’s geometric compression factor, we calculate its rest mass as:

m_e = ρ_L × V_s × η

This yields m_e ≈ 9.11×10⁻³¹ kg, corresponding to a rest energy of 0.511 MeV, in exact agreement with the CODATA value—but obtained without using any spectroscopy, electron scattering, or quantum electrodynamics input. In contrast to the Standard Model, where the electron mass is an empirical parameter, Luxian Mechanics predicts it from independent gravitational measurements, providing a unified mechanical explanation for fundamental constants. But that's not all folks we also believe that we can derive Plancks constant (this one's already been done) but we also see a way to giving the proton mass, Fine structure constant, Gravitational constant, Magnetic Constants, Classical electron radius and the speed of light and we can explain why it's that number unlike the rest so If you sub to my patreon..... lol just kidding I ain't after anything except giving the why to all those who will appreciate it,and that's just where I'm at so far. Here's the math I know some of you'll will dig it.

I have to check it but we think got the explanation for the fine structure constant, from first principles, so much falls into place when you understand the simple physics of the luxia medium. This is pretty big right? Why me? That's the real question.

What about the mass of a muon, or tauon?