The Great Einstein/de Broglie Velocity Equation

derivation and notes by

Douglass A. White, Ph.D.

(Vm)(Vi) = (c)(c).

This is the Great Velocity Equation. It is based on the revolutionary discoveries made

by Albert Einstein and Louis de Broglie during the early years of the 20th century. This

Velocity Equation is really a rewritten form of Einstein’s famous energy/mass equation.

z E = m c^2

Actually Einstein’s equation is meaningless because energy and mass are not observable

without disturbing the system under observation. Any disturbance to the system

changes the system and therefore nullifies the value of the observation. The extreme

nature of this problem becomes clear in the field of particle physics. Therefore I have

rewritten the Einstein formula using a few simple substitutions so that its component

factors are all observable velocities. The “direction”, frequency, and/or wavelength of a

photon may change when it is disturbed by observation or other intervention, but the

photon velocity remains constant.

The two Velocities on the left side of the equation represent variable velocities. The

Velocity with subscript (m) represents Matter, anything with what physicists call “mass”.

The technical name for it is the “Group Velocity” (Vg). The Velocity with subscript (i)

represents Imagination. This refers to images that we can form in the mind either by

connecting observable images in some way or by connecting mental images in some way.

The technical name for it is the “Phase Velocity” (Vp). Phase means that we observe an

object with respect to some other reference object. This is the “connecting” that I

mentioned. The velocity on the right side of the equation is light speed (c). It occurs

twice and is often written as c-squared (c^2). Each c corresponds to one of the two

variable velocities. One is the photon that moves from a physical object to the

observer’s eye. The other is the anti-photon that moves from the observer’s eye to the

physical object. In ordinary space the two seem to overlap, but they are really in

different spaces. The multiplication of the two factors expresses their interaction. The

photon moves forward in time from the object in the past to the observer in the present.

The anti-photon moves backward in time from the observer in the present to the object in

the past. The two appear to travel together most of the time, but under certain

conditions they can split apart, distorting space/time. Under these conditions the values

of the velocities appear to become different from the speed of light. This gives us the

variable velocities on the left side of the equation.