No mention of apparating, AKA teleportation. If I had to solve this, I’d theorize that both transmogrification and time turners reduce to the problem of teleportation. Most other magics can probably also be explained if you’re able to selectively teleport things like forces, light, chemicals, and various forms of momentum or momentum-producing effects at a nanoscale near-instantaneously (at least as far as the local matter is concerned from the relevant reference frames).
Va bgure jbeqf, Ngynagvf pbagnvaf n Ovt Onqnff Anabgryrcbegre bs Qbbz, be fbzrguvat.
As for how that one would work: Beats me. When I try to work this deeply with relativity, I’m generally in way over my head and end up getting every single detail wrong in some way.
Teleportation can work. A targeted short-lived neutrino beam would do the trick, with a bit of work. At least you don’t have to break conservation of energy or momentum.
Teleportation can work. A targeted short-lived neutrino beam would do the trick, with a bit of work.
Once you have teleportation you also have (the appearance of) mass altering transmogrification by simple application of the former to mass unknown to the observers. One you have apparent transmogrification and advanced-prediction-in-advance you have Time Turning. Again, through applying teleportation to carefully synthesized and selected matter that the observers aren’t aware of. For example, to a fully synthesized extrapolation of “MoR!Harry!2.hours.from.now”. From first personal perspective of Harry this is equivalent to time travel.
This is childs play to Omega, it’s nearly exactly what he is contrived for in Newcomb’s Problem. It may be a tad more difficult for a mere superintelligence but it remains an engineering problem, not so much a physics one.
At least you don’t have to break conservation of energy or momentum.
The above possibile solution isn’t “true” time travel. But it is to time travel precisely what targeted short-lived neutrino beams are to perceived “apparition”. There is little qualitative difference in either relationship to described magical events or the phisical possibility.
It gets scarier if you realize that anything sufficiently advanced to model “MoR!Harry!2.hours.from.now” can probably model “MoR!Harry!2.hours.from.now+afraid.to.mess.with.time”.
My head scratcher with teleporatation is what would happen to momentum? If a Nightcrawler (x-man telporting charater) type jumped off an airplane and teleported mid-drop, would he still continue moving afterwards? I’d assume so, but say he changed position, teleported upside down. Now what?
Basically, is momentum relative to an internal or external frame of reference?
I suspect the answer is, that isn’t a question because the premises are impossible. Just like you can’t divide by zero, you can’t multiply by impossible.
Energy and momentum conservation is a local law in Relativity. How such conservation laws-compliant Nightcrawler would land depends on the actual mechanism of teleportation. For example, if he is transformed into a neutrino beam for the duration of the transport, the necessary momentum and angular momentum can be imparted by whatever surrounds him at the points of departure and arrival. The airplane or the surrounding air will recoil a bit (or a lot), and so will whatever objects he brakes against upon arrival.
What are the units of energy-momentum? Momentum is massdisplacement/time, while energy is length^2mass/time^2, so the conversion ratio would have to have units of length^2/displacement-time. You can use some tricks to make it appear to have units of length/time (speed), but then you need to permit either momentum or energy to be negative.
Is the binding energy variable depending on velocity? Losing mass at rest does conserve momentum, while losing mass in motion does proportionately to the speed of the lost mass. (and notably, NOT depending on whether it was moving towards, away, or lateral to the observer- red/blue shift is irrelevant). Is the amount of energy observed to be released from a given atomic reaction variable depending on the speed of the reactants?
No mention of apparating, AKA teleportation. If I had to solve this, I’d theorize that both transmogrification and time turners reduce to the problem of teleportation. Most other magics can probably also be explained if you’re able to selectively teleport things like forces, light, chemicals, and various forms of momentum or momentum-producing effects at a nanoscale near-instantaneously (at least as far as the local matter is concerned from the relevant reference frames).
Va bgure jbeqf, Ngynagvf pbagnvaf n Ovt Onqnff Anabgryrcbegre bs Qbbz, be fbzrguvat.
As for how that one would work: Beats me. When I try to work this deeply with relativity, I’m generally in way over my head and end up getting every single detail wrong in some way.
Teleportation can work. A targeted short-lived neutrino beam would do the trick, with a bit of work. At least you don’t have to break conservation of energy or momentum.
Once you have teleportation you also have (the appearance of) mass altering transmogrification by simple application of the former to mass unknown to the observers. One you have apparent transmogrification and advanced-prediction-in-advance you have Time Turning. Again, through applying teleportation to carefully synthesized and selected matter that the observers aren’t aware of. For example, to a fully synthesized extrapolation of “MoR!Harry!2.hours.from.now”. From first personal perspective of Harry this is equivalent to time travel.
This is childs play to Omega, it’s nearly exactly what he is contrived for in Newcomb’s Problem. It may be a tad more difficult for a mere superintelligence but it remains an engineering problem, not so much a physics one.
The above possibile solution isn’t “true” time travel. But it is to time travel precisely what targeted short-lived neutrino beams are to perceived “apparition”. There is little qualitative difference in either relationship to described magical events or the phisical possibility.
It gets scarier if you realize that anything sufficiently advanced to model “MoR!Harry!2.hours.from.now” can probably model “MoR!Harry!2.hours.from.now+afraid.to.mess.with.time”.
My head scratcher with teleporatation is what would happen to momentum? If a Nightcrawler (x-man telporting charater) type jumped off an airplane and teleported mid-drop, would he still continue moving afterwards? I’d assume so, but say he changed position, teleported upside down. Now what?
Basically, is momentum relative to an internal or external frame of reference? I suspect the answer is, that isn’t a question because the premises are impossible. Just like you can’t divide by zero, you can’t multiply by impossible.
Energy and momentum conservation is a local law in Relativity. How such conservation laws-compliant Nightcrawler would land depends on the actual mechanism of teleportation. For example, if he is transformed into a neutrino beam for the duration of the transport, the necessary momentum and angular momentum can be imparted by whatever surrounds him at the points of departure and arrival. The airplane or the surrounding air will recoil a bit (or a lot), and so will whatever objects he brakes against upon arrival.
I don’t think momentum is conserved in Relativity; how could it be, if mass and therefore inertia are not?
Energy-momentum is most emphatically conserved in relativity, just not energy and momentum separately.
What are the units of energy-momentum? Momentum is massdisplacement/time, while energy is length^2mass/time^2, so the conversion ratio would have to have units of length^2/displacement-time. You can use some tricks to make it appear to have units of length/time (speed), but then you need to permit either momentum or energy to be negative.
Is the binding energy variable depending on velocity? Losing mass at rest does conserve momentum, while losing mass in motion does proportionately to the speed of the lost mass. (and notably, NOT depending on whether it was moving towards, away, or lateral to the observer- red/blue shift is irrelevant). Is the amount of energy observed to be released from a given atomic reaction variable depending on the speed of the reactants?