Dear Peter,
I do appreciate you patience with me on these topics. When I think about what's happening around black holes, it warps my head. My gut tells me that geodesics will diverge wildly, like rays of light through a glass sphere. I will tread with humbleness around black holes. Before I can trust my intuition, I have to make sure I understand the universes priorities: local speed of light comes first, conservation of energy, ... global speed of light, killing vector, perhaps?
"If we look properly at nature we find gravity red shifts light rather than violates CSL. This certainly saps its energy, sometime to below what our eyes can register. Ergo; Black Hole. " I agree with that.
"The event horizon is etherial. If the star is near the limit - once we get close the event horizon may shrink till it disappears and we could see a red giant. " I suspect that you're right. But, it is here that space itself starts to warp, severely, and my assumptions need closer examination.
"When Pickard sends a (normal) radio message it propagates across space at an absolute speed 'c' "irrespective of the speed of the emitter." Certainly so if the enterprise is traveling .9c. If it's traveling 9.0c, like that M87 jet, then it looks like the light leaves the enterprises emitters at c, but falls behind again, and eats the enterprise's 9.0c dust.
"It will have a similar signature to the wavefront of the M87 jet and our planetary shock, all dependent on relative speed." I remember looking up Bow Shock for the earth's magnetic field...mmm...
Peter, I can come up with inter-dimensional hyper-drive mechanisms all day long. However, I think it can be a lot simpler. The laws of physics really only care about waves, energy, entropy, conservation laws, stuff like that. Here is what I want to do. An alien spaceship lands outside of the MIT physics department. Aliens come out, enter the building, walk into a physics lecture, and wrestle the chalk away from some college physics professor. He pulls a control device out of his pocket, presses a button, and a silvery box appears out of nowhere. It has smooth edges, and is hovering above the ground.
The alien scrawls on the chalkboard: Trans-Space Coupling Field Generator. The alien begins to speak:
If you wanted to transport one hydrogen atom from earth to Alpha Centauri, here is what you must do.
First, you must acknowledge that the atom is coupled to this physical universe, what we will call standard space-time. The entropy of a hydrogen atom can be quantified as two particles, a proton and an electron. Each of those particles is already coupled to standard space-time with a coupling constant of K_std; std is short for standard space-time. The coupling energy for the hydrogen atom is E_std = 2 K_std. If there were N particles in your system, then the coupling energy is E_std = NK_std.
If you want to travel around the galaxy using this form of hyper-drive, then you must provide the additional energy cost necessary to couple the hydrogen atom to fast-space, what you would call hyper-space. The coupling coefficient for fast-space is K_fs. The energy necessary to couple the two particle system, the hydrogen atom, is E_fs = 2K_fs. For this example, we will not count quarks, photons, or neutrinos, but will absorb their energy cost into K_std and K_fs.
Conservation of energy also requires that you put in an additional amount of energy, E_G which would be the energy required to remove the hydrogen atom completely from the gravitational field. The result would look like the silvery field generator that you see before you. Technically, you must also include the gravitational energy for whatever exists within fast-space, but we will ignore that for the moment.
The field generator allows you to vary the degree of coupling and also the degree of gravitational compensation.
Let us perform an example. Let us say that you wanted to travel to another star system, many light years, but within a short period of time, perhaps a week or two. You would use energy to compensate for both the standard space-time's quantity of particles, their coupling; you would also supply energy to compensate for gravity. If you do nothing else, then your spaceship will vanish from standard space, and, in fact, not exist anywhere.
Next, you will accept the energy that comes from coupling with fast-space (hyper-space). In doing so, the particles of your spaceship will become interfaced with the faster space-time, complete with all of the rights and privileges of existence in fast-space; including the use of a faster speed of light.
Did I forget to mention that a small amount of coupling energy must be used to sustain the existence of a minimal amount of standard space, enough to allow the spaceship to exist and evolve in time. Thank you for your time. Have a nice day.
The alien presses a button, and everything vanishes...