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Originally Posted by Neverfly
Any idea when you might finish?
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I hope in about two weeks.
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Originally Posted by Neverfly
I don't know how long this thread has left before it closes, [...]
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It should last till the end of April.
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Originally Posted by Neverfly
Going back to statements, You seem to think the universe is static and that what we "see" as expansion is actually an illusion.
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Yes.
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Originally Posted by Neverfly
In order to mathematically work out how this can be, how many assumptions did you have to make? On what did you base these assumptions and how did you support them?
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Only on one assumption, that Einstein's gravitation is true.
The mainsteream science added another assumption to Einstein's gravitation, namely that the universe is expanding, which I didn't.
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Originally Posted by Neverfly
I'm having trouble with gravitational energy and how it fits into your math.
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I managed to figure out that "gravitational energy" is the same as "internal energy" of a particle, E=mc^2. So it got rather easy to handle and to be sure that it is strictly conserved. When something falls down the part of its internal energy (or "gravitational" if you prefer) changes into kinetic energy so that the total energy remains constant. It is a mainstream science since it is in Landau and Lifsh'tz "Theory of fields" around p. 285. Because energy is conserved in gravitation (as follows from Landau's text) one can use Newtonian gravitation for approximate calculation that don't require to apply the curvature of space.
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Originally Posted by Neverfly
I'm seeing some misconceptions on your part - namely, where energy comes from, how it is conserved and how you express these mathematically.
I'm not sure I understand where you have set your own rules either.
When gtr applies and when it doesn't, whether or not you can quantify the energy or not, and the cosmological constant.
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The energy I explained above.
I'm not setting any rules of mine I just follow rules of Einstein's gravitation.
The gtr applies everywhere except in its assumption that the universe is expanding since I can demonstrate that it is an illusion following from Einsteinian gravitation according to which the curvature of space is coupled to the time dilation in such a way that for the universe in which energy is conserved globally, and for the isotropic space, d^2T/dtdr-1/R=0, where T is proper time, t is coordinate time, r is radial coordinate, and R is radius of curature of space.
You can quantify energy in oscillating systems maybe even for the planets of our own solar system (see Titius-Bode series).
The cosmological constant equals 4*pi*G*rho/c^2, where G is Newtonian gravitational constant, rho is density of the universe, and c is speed of light in vacuum, and keeps Einstein's equations from blowing up.