DaveC426913 said:
There are far too many flaws and misunderstandings in this to address them all. I'll just touch on a few of the most egregious.
I apologize for my stupidity. I forgot the apparent requirement at PF that the questioner must already know the answer prior to asking. Nevertheless, I thank you for condescending to reply to me, something others may have been too offended to do.
DaveC426913 said:
0] Please don't make up terms.
I’m not trying to add to the dictionary here, just establishing a term for use in the current conversation. I would have thought that was obvious from my use of quotes and the preceding notice, “Call it”. Please remember that we outsiders have to endure an ever increasing dictionary of rather whimsical sounding terms emerging from physicists (e.g. “top” & “bottom” quarks, or is it “truth” & “beauty”, I keep forgetting.) Regardless, we need words to communicate, especially about real entities.
DaveC426913 said:
There is no such thing as "radiant mass" or "effective mass".
Are you sure? I just searched the term “effective mass” on PF I got back 371 threads as a result!
While I agree there is no recognized term, “radiant mass” I believe I am referring to a real quantity. Perhaps you could tell me what to call it? Typically, relativistic mass (m’) is given as a product of a velocity dependant term (\gamma) and the rest mass (m). m’ increases with velocity of m. Another way to think of this is the difference m’-m = \Deltam. I find that isolating the rest mass in moving reference frames (i.e. m’=m+\Deltam) to be helpful in considering the absolute nature of lightspeed. That is rest mass, also referred to as “invariant mass”, is itself constant in all reference frames just like the speed of light! So when I ask myself, “Speed c is constant relative to what?” I have the answer, “Relative to rest mass.” in every frame.
That still leaves me with what to call \Deltam. If you can’t give me a pre-existing term, I’m sticking with “radiant mass” which I happen to like. Radiant mass would also be a better term for the “relativistic mass” of a photon since photons have no rest mass. You see the problem there. m’ for a photon just can’t be a product of \gamma times m. But m’ for a photon could easily survive as a sum m’= 0+\Deltam. That is, the relativistic mass of a photon is its radiant mass.
DaveC426913 said:
1]Relativistic mass does not "count" in considering the effectiveness of a rocket exhaust. In the rocket's frame of reference, there is no increase in mass.
Then you see the source of my confusion. If we claim the rocket’s mass is invariant in its own frame, why are we then using infinite mass as a barrier to lightspeed? I could understand this concern if power were being applied from an external (at rest) source. In the rocket’s frame F=ma should give continuous acceleration as long as the fuel holds out, regardless of proximity to light speed. (Of course I could be wrong, even expectantly so, but that’s
why I ask.)
DaveC426913 said:
2] A heavy object and a light object fall in a gravitational field at the same speed, the heavier object does not fall faster. Galileo demonstrated this 400 years ago from the top of the Tower of Pisa.
The Pisa myth is so good, it ought to be true, so I concede it. But to your point, increasing relativistic mass as a particle descends into a black hole is no advantage. But neither is it a barrier to lightspeed. Acceleration should continue regardless of proximity to lightspeed. For neutrinos, initial velocity is already pretty close. No?