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An Overview My papers on Relativity have become so voluminous that it has become necessary to publish a gloss. I have already published a much compressed version of the Mass Increase paper, but even that runs to 11 pages. So in this paper I will just tell the reader my findings and equations, and skip all derivations and all lengthy explanations. Where κ = 1 + [v
^{2}/(2c^{2}- 3cv)]One of the tricks in this resolution is to realize that the "m" in the classical equation must be a moving mass, not a rest mass. One must be careful to do the correct substitution. Only a moving mass has kinetic energy, but for some reason current textbooks assume that Newton was always dealing with a rest mass. In other equations, such as the gravitational equations, he is dealing with a rest mass. But in the kinetic energy equation, he cannot logically be plugging in a rest mass, since his mass must be in motion by definition.
One important outcome of my corrected transforms for mass is that, in the accelerator problem (where the mass is gaining energy from the field) the total energy is not mc ^{2}:E _{T} ≠ mc^{2}E
_{T} = mc^{2}[1 - (3v/2c) + (v^{2}/2c^{2})] E _{T} = m_{r}c^{2}[1 + (v/2c)][1 - (v ^{2}/c^{2})]This last equation shows you why gamma works so well in the accelerator problem, despite being incorrect. I have had to make dozens of conceptual and algebraic corrections to Einstein's math in hundreds of pages of analysis, but at the end I come up with a correction that is very slight in this particular experimental situation. Einstein was either very fortunate in his mistakes, or he was very savvy at pushing his math where he knew it needed to go. Even in the accelerator problem, there are slight variations in the transforms due to the experimental set-up, and these variations are currently being ignored. Einstein gave experimenters only one transform, and they now try to apply it to every kinetic energy situation. I show that this is a mistake. The release of energy at the end, in collision, demands different transforms than the gaining of energy from being accelerated, and scientists are currently using equations that are too simple. They also often fail to take into account the operational facts of their machines: how, precisely, these machines gather data. The transforms must take into account whether the masses in question are approaching a detection device, fleeing that device, or passing it at a tangent. Since the current interpretation of Relativity is that direction of motion is unimportant, and since I have proved that this is false, the findings from accelerators cannot possibly be as precise as we are told. Finally, using my corrected transforms and some simple theory from another paper, I am able to show why the accelerator yields a maximum moving mass for the proton of 108 times its rest mass. This experimental fact has never before been explained and is one of the primary mysteries of mass increase. I show a simple algebraic equation that yields this number. |