Relative speeds in the 4th dimension

[anderscolingustafson]

In a 4d universe the speed of light would probably be about 70,710,000,000,000 Kilometers per second relative to everything else. This is about 235,700,000 times faster than the speed of light in our universe. I got this number by multiplying the quotient of the surface volume of a 4d atom in terms of electrons and the surface area of of a 3d atom in terms of electrons by the square root of the quotient between the speed of light and speed of an electron to the 3rd power.

In order to be stable 4d electrons would need to travel at about 100,000,000 times faster than 3d electrons. At this it would take a 4d electron the same amount of time to orbit its atom as it does for a 3d electron to orbit its atom in our universe. At this speed electrons would be moving so fast that there simply would not be time for an atom to destabilize and collapse from the electromagnetic forces pulling it in 100,000,000 times faster than in 3d.

An increase in the quotient between the speed of inner and outer planets could stabilize 4d solar systems. It would allow gravity to pule outer planets fast enough to keep them in orbit but the inner planets would not fall in to the star because of the extreme speed a 4d planet could orbit at.

This increase in the speed of light would also have a side benefit of allowing 4d organisms (which would need this relative speed to exist.) to instantly communicate with each other even across distances that would be light years in our universe, since it would take 4d light one second to travel a distance that would be 7 light years in our universe. 4d light could travel a distance that would be 15,000,000,000 light years in our universe in 64 years.

An observable 4d universe would be 235,700,000 times bigger than an observable 3d universe.

Not all 4d universes would have these properties but the life supporting ones would.

[wendy]

The logic seems here very improbable, and quite dubious.

Light does not depend on electrons, and it is contestable whether it's generally an EM radiation at all. It is simply better to accept the value given at 983574900 feet.

The size of the fine structure constant changes over dimension: in 4d, one would expect the fine structure constant to be 1/215.313. This value is given as


fsh = 4.pi (h-bar / e²Z). Since h-bar, e and z can be taken at their numerical values, the fsh is dependent on the radiant surface (of a sphere), so in 4d would become, say 2.pi^2. Still, there is no particular reason to even assume this equation is true in 4D.

[Halfbaker]

And if your saying a universe has four large dimensions, what says it even has an electromagnetic force or leptons anyways?