Wednesday, May 29, 2019

Cosmic Expansion

Noting my own thoughts here more than anything else.

I'm uncertain if cosmic expansion is necessary in this model, as that is slightly beyond the areas of the model I have tried to comprehend, but it is definitely possible.

We have a repulsive phase of the force on the scale of galaxies, the next phase out from gravity.  Now, I can reconcile this with relativity to enable cosmic expansion - from any given galaxy, on average every other galaxy within sight is experiencing a repulsive force, which means we should expect them to move away.  Conservation of spacetime, however, needs some additional thought; on the one hand, we are converting potential energy into spacetime, which should be allowed.  On the other hand, we need an actual explanation of what is happening, as opposed to a simple "It's allowed".

One way of viewing the problem is that, at a basic level, a repulsive force is a reduction in the density of spacetime, so as galaxies move apart as a result of these density variances, the intermediate spaces get subjected to less of this lessening of density, resulting in more proper distance over a given Minkowski distance.  That presumes, of course, that the sine wave has passed its apex.  But again, conservation of spacetime - where is the actual spacetime coming from?  Somewhere has to lose spacetime in order for somewhere else to gain it.

One possibility is that it arises from the nature of motion itself - that velocity, representing a bend in spacetime, itself represents some portion of spacetime, and that velocity, or energy, is being lost somewhere.  Given that galaxies are accelerating away from each other, this doesn't seem correct.  But let's try handling velocity as subtraction, rather than addition - that is, suppose we define velocity as a -loss- of spacetime along a vector.  We can get the same results - the important quality of velocity in this model is its assymetry.  We can treat velocity as either a scrap of added spacetime, or a scrap of lost spacetime in an opposing orientation, and we arrive at the same geometric shape, the same geometry capable of giving rise to motion.

So maybe the extra space between galaxies is coming from the galaxies themselves.  One way to think about this is that Lorentz Contraction from the galaxies moving away from each other is causing a contraction of the repulsive phase of the mass wave, resulting in increased spacetime density (or increased curvature, in traditional nomenclature) at intergalactic scales; I think this is slightly misleading, because it arises from and encourages a tendency to think purely in terms of mass wave densities as describing distance.  But I don't think it is necessarily wrong, either; the difference only really matters, as far as a can tell, in a finite universe with a finite amount of matter.  In an infinite universe, I don't expect there to be any difference between these two perspectives, and the one I view as misleading and incorrect is sort of a this-model version of string theory.

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