Einsteins Mass to Energy Equation and the V wave - Page 4

Einstein based his equation upon the EXTERNAL FORCES acting on a body. I resolve his equations to mine acting with INTERNAL FORCES for a particle!

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Reinterpreting the Standard Mathematics

Notice that at any one time in equation (2) the mass and energy always sums to unity! This seems to contradict the V wave but erf(c) + erf(c) is not the same as e^(x^2) + e^(-x^2). There is a subtle difference in the decay rate of these processes and their mass and energy levels.

Technical Point 3.1 sets the limits for the functions as containment for the mass to energy transfers that Einstein’s equations cannot do.

Comparison with Einstein’s Equations for Energy
At first it appears that Einstein’s equations can only describe external forces at work at the same time upon the particle and they would seem to have little effect, if any, on this internal process.
However it is possible to manipulate Einstein’s Equations to form the basic shape of a V wave (see diagram “Mass to Energy 2” below).

In trans-scribing Einstein’s equation I used equation 30-42 from the book “Essentials of Physics” by Sidney Borowitz and Arthur Beiser Lib Congress # 65-19242 page 539. This states:

E = mc^2 = m*c^2 / sq root (1 - (v2/C2))

Where m0 represents the rest mass.
I have had to use x^2 in place of (v^2/C^2) and as the v and c terms are both velocities then they cancel to an integer variable. Also velocity = distance (x) / time so the choice of using the distance x is natural. The Rest mass energy is given as m0*c^2 for the numerator and which I set as unity.
The importance of this result is easily overlooked if the investigator has not got a model in mind. So I am not surprised that no-one has pointed this out before.

continued from page 5 > CLICK HERE

Matching Equations for Energy
Although the equations all form a U shape they need manipulation to match more completely. The fact that they do not match perfectly may be explained by noting if the internal and external forces do not match perfectly than as we approach light speed then space will have to deform to compensate for any anomaly. Also the V wave does not just describe mass to energy proves as does Einstein’s equation but includes a second process,

In figure “Mass to Energy 3” I am using the shape for the V wave given by the equation y = e^x + e^(-x). Distances double in 4D so a factor of 2 fits my geometry. I compare this to Einstein’s Modified Equation of y = 1/(1 - (x)^2) and finally the equation derived using the Error Function.
I am particularly interested in these curves between -1