First Principles of the Relativistic Walker: A Hydrodynamic Derivation of Quantization, Inertia, and Mass-Energy Equivalence

We present here the "Relativistic Walker" model.In this framework, the laws of quantum mechanics and relativity come from simple fluid physics instead of being starting assumptions.We look at a small pulsing source in a scalar vacuum field and show that for the system to stay stable, the strength of the connection between the source and the field must follow a square-root rule based on the frequency.This frequency, Omega, is the internal rate at which the particle pulses.This rule explains why energy relates to the pulse rate (E = h eff • Ω).Here, h eff is not a fixed universal number, but a ratio determined by the density of the vacuum field.We also show that inertia is not a magic property, but just the drag of the vacuum fluid on the particle as it moves.This leads us directly to (E = mc 2 ), which is the natural wave equation for a particle at rest.By doing this, we get a logical way to calculate the basic constants of physics based on the state of the vacuum.