Well, please take a look first. "Wave function" is a vague phrase. I believe the dampened wave function I describe is indeed new. Also, the hypothesis described is eminently testable.
Hi Joe,
I apologize for my earlier snarky comment. I mistook you for an anti-science, Dunning-Kruger troll, because lately, most science forums are full of them. Having looked at your Youtube video today, you, Sir, are definitely not one of them. You come across very sincere and methodical.
As I said, I am not comfortable with dark matter and dark energy hypotheses. To me, they do seem like fudge factors we are using to cover up defects in our current understanding. Finding a factor that bends space-time differently at different scales, to me, sounds better than postulating forms of undetectable matter and energy.
Although you may be on to something with the damped wave function, I do see a few issues:
1. If I apply that equation to a supermassive black hole, it shows that the accretion disk would be very clearly separated in to rings. The peaks and troughs are so strong that there can be no stable orbits in between. However, this also means that the rings would be rotating at precisely defined speeds. Shouldn't this be detectable as discrete peaks in Doppler shift of electromagnetic radiation from the disk?
2. If I apply your equation to the rings of Saturn, which you suggest as a possible supporting observation, it shows a pattern where the inner rings are narrow, and get progressively broader as you move away from the planet. This doesn't gel with the observations either, and the ring configuration fits better with observed "shepherd moons."
3. Your equation predicts very deep troughs of repulsive gravity very close to a singularity, inside the event horizon. In fact, the whole black hole up to and beyond the event horizon would be layered like an onion in "positive" and "negative" gravity shells. This would mean there will be matter trapped within these shells inside the event horizon, that would be released during a black hole collision as the shells re-adjust, and the resulting black hole would have significantly lesser mass than the sum of the two original. I haven't seen any observations that suggest that.
I respect the effort you put in, but maybe it would help if you could verify and validate each hypothesis before building on it for the next one. Flyby anomalies do show that maybe GR isn't the "end-all" theory, and that there could be minute adjustments that could be made, which might have large effects at galactic and extra-galactic scales. That would definitely make more sense to me than dark matter and dark energy.
Keep up the good work, sir!