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E=mc^2 and X=sqrt (1) 
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#1
Apr1705, 09:34 AM

P: 60

E=mc^2 is the simplified form of an equation given to us by Albert Einstein to describe the relationship between energy and mass. Translated into words, it says the amount of change (E) that we may expect a material subject to be able to produce is directly proportional to a it's mass (m) and the square of the speed of light (c^2). It is certainly a very useful formula; however, in order for it to work, the subject of the equation must have the property of mass. But what about things which have no mass  things like space, for example?
The motion of a substance which has no mass would still require the subject to displace whatever lies in front of it and this change would certainly take an instance of time (t). Mr. Einstein's equation may be accurate, but it is incomplete. It addresses only the special case of subjects with the attribute of mass. I wonder if there is an equation which addresses both material and ethereal substances. I wonder if the additional terms that such a formula would require might finally resolve the issue of that pesky imaginary number X=sqrt (1) 


#2
Apr1705, 10:19 AM

HW Helper
P: 2,566

First of all, how can space move? Relative to what? And what could you possibly mean by "the issue of that pesky imaginary number X=sqrt (1)," and how is that related?



#3
Apr1705, 12:03 PM

Emeritus
PF Gold
P: 8,147

Space does not move in special relativity. In general relativity space curves dynamically to reallize local physics. In cosmology space expands. But we do not need the concept of "speed of space". 


#4
Apr1705, 11:38 PM

P: 533

E=mc^2 and X=sqrt (1)
I'm beginning to wonder if maybe the concept of speed of space, or flux of space moving through a cross section of a referance frame could be used to develop the relations behind the speed of an atom through space (or flux of space through it), and the actual mechanics of it's behavior as a function of translation in space (or, space flowing through the atom). To put it more clear, I believe that atoms (at least the hydrogen atom) behave(s) differently (has different Psi functions) when it is traveling through space rather than when it is at rest. Right now, my hypothesis is that as it's sped up approaching C, the "orbital radius" of the electron moving around the nucleus stays the same in the direction of travel (counteracting length contraction in the direction of travel), but the "orbital radius" increases in the direction perpendicular to the direction of travel. It increases to infinity at C, and the radius in the direction of travel at C is still the same radius as when the atom is at rest. I'm betting that a more comprehensive derivation of the spinorbit interaction when accounting for translation (of the entire atom) through space (or space moving through it) is the roadmap toward this relation.



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