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Why not eliminate the idea of Dark Energy altogether by acknowledging that matter is shrinking relative to space (rather than space expanding relative to matter)? This is a much simpler scenario, using a property of matter rather than introducing the unnecessary concept of Dark Energy pushing matter away from itself.

 

I've talked to people who have said that the implications for speed of light in a vacuum, fine structure constant (thus vacuum permittivity and permeability), and matter/energies relationship to free space in general would not hold to classical mechanics or quantum theory: that these values would change as matter/energy shrinks. However, this is not correct as these values are all related to one another in such a way that a change in the size of matter would have a corresponding change in the amount of time for fundamental forces to propagate (effectively accelerating the speed at which matter interacts with itself).

 

So the clock speeds up for matter as it shrinks, which makes the speed of light © appear constant in relation to matter (instead of light constantly gaining velocity). The permittivity constant (which is related to the speed of light) would appear to remain the same as well, due to the same effect (the force between 2 charges would appear the same over time, although the 2 charges are closer together in reality, they appear to act as if they were the same distance apart because of the accelerated time frame of matter's self interaction).

 

As matters wavelength changes over time (as it shrinks) it increases mass over time, except relative to other matter. In fact, the Planck constant would proportionally change due to time dilation of matter as it shrinks as well, so matter could increase mass without appearing to do so (as light doesn't appear to be moving faster than matter).

 

There are also several ways that this (matter shrinking) could cause gravitation. Due to the shrinking of matter there could be a negative pressure upon spacetime geometry which results in gravitation at local levels as space rushes in to fill the "void" left by shrinking matter. This would imply matter is shrinking at some proportional rate, in which larger amounts of matter create a larger influx of space to fill the void. While at extreme distances the influx of space overcomes local conditions in such a way that expansion occurs between distant galaxies. As matter decreases size proportionally to its current size, there is a steady acceleration in expansion rates as we travel farther away.

 

 

Next idea:

 

3d matter cannot directly interact with 4d matter (except through gravitation) as it has 0 4d volume and 3d e/m force does not have a 4d directional equivalent (4d e/m fields have an additional direction of propagation which is not shared with 3d e/m fields, although perhaps there is some e/m influence?). 3d matter, having 0 4d volume, has an infinitely small (or undefined) chance of interacting with 4d matter/energy.

 

Dark Matter is simply 4+ dimensional matter, and there is a very easy way to verify this: if DM is offset orthogonally from our (3+1)d spacetime it will have a gravitational geometry that indicates this.

 

For example, if a DM star (of the sun's mass) is offset 1 solar unit from our 3d space dimension, there will be a peak of attraction at the point closest to our dimension equivalent to that of the gravitational attraction of the sun at the earth's location (assuming gravitation doesn't decrease by r^3 for 4d space).

 

As we travel from this point, instead of gravitation decreasing according to the standard 3d spacetime metric of r^2, it will decrease from the peak of attraction at a rate of (1 solar unit)^2 + r(distance from peak) ^2.

 

 

Also, we could then integrate 4d Dark Matter with another type of DM, 2d Dark Matter. 2d Dark Matter would only propagate gravitation along a 2d plane, perhaps the propagation is only in 2 directions: up/down and left/right but extends in those directions along the whole 3rd axis of the 3d dimension. If only propagated upon an infinitely thin plane, 2d DM gravitation would have a limited effect upon the 3d dimensions structure. If the gravitation was propagated 360 degrees from a specific axis it would have a greater effect. It's hard to visualize at the moment, but perhaps 2d DM gravitation would have a flattening effect upon galaxy/universal formation.

 

The implications of our 3d Matter's gravitational effect upon the 4d space manifold are interesting to think of as well.

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