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Quote from: Petrochemicals on 15/04/2021 11:48:51Quote from: Halc on 12/04/2021 18:49:33You've not said if the ship is accelerating or not.If it is not accelerating, then it is stationary in its own frame and the two movies will be indistinguishable in every way, assuming you're the same distance from each of them and they were started simultaneously relative to the frame of the ship. Nothing is out of sync. Playing tennis will not work in free-fall.If the ship is accelerating, then you can apply the equivalence principle and say that the experience is the same as watching two screens in a building, one a few floors above you, and one a few floors below you. If they're started simultaneously in the frame of the building, the one above you will run faster and slowly get out of sync with the one below you. Same thing on the ship. Playing tennis only works if you're horizontal relative to each other, not one above the other, so the tennis thing would be like trying to play tennis in an elevator shaft, which doesn't sound much like tennis.How does angular acceleration work vis a vis the speed of light. After all the solar system is under considerable angular acceleration in the galaxy.Taking 230,000,000 years to complete an orbit with 28,000 ly in radius doesn't result in a "considerable" amount of acceleration, but a pretty insignificant one. Locally, any acceleration has no effect on light speed. If you are under acceleration, you still locally measure light as traveling at c. What can be effected is the "coordinate" speed of light( how fast light seems to move relative to you when it is far from you as measured along the line of acceleration). Working this out for the orbiting Solar system ( just considering acceleration and not factoring in the difference in gravitational potential), then the coordinate speed for light at the center of the Earth's orbital path would be just 0.00003% faster than at the Solar system( as measured from the Solar system)
Quote from: Halc on 12/04/2021 18:49:33You've not said if the ship is accelerating or not.If it is not accelerating, then it is stationary in its own frame and the two movies will be indistinguishable in every way, assuming you're the same distance from each of them and they were started simultaneously relative to the frame of the ship. Nothing is out of sync. Playing tennis will not work in free-fall.If the ship is accelerating, then you can apply the equivalence principle and say that the experience is the same as watching two screens in a building, one a few floors above you, and one a few floors below you. If they're started simultaneously in the frame of the building, the one above you will run faster and slowly get out of sync with the one below you. Same thing on the ship. Playing tennis only works if you're horizontal relative to each other, not one above the other, so the tennis thing would be like trying to play tennis in an elevator shaft, which doesn't sound much like tennis.How does angular acceleration work vis a vis the speed of light. After all the solar system is under considerable angular acceleration in the galaxy.
You've not said if the ship is accelerating or not.If it is not accelerating, then it is stationary in its own frame and the two movies will be indistinguishable in every way, assuming you're the same distance from each of them and they were started simultaneously relative to the frame of the ship. Nothing is out of sync. Playing tennis will not work in free-fall.If the ship is accelerating, then you can apply the equivalence principle and say that the experience is the same as watching two screens in a building, one a few floors above you, and one a few floors below you. If they're started simultaneously in the frame of the building, the one above you will run faster and slowly get out of sync with the one below you. Same thing on the ship. Playing tennis only works if you're horizontal relative to each other, not one above the other, so the tennis thing would be like trying to play tennis in an elevator shaft, which doesn't sound much like tennis.
Quote from: Janus on 15/04/2021 16:18:04Quote from: Petrochemicals on 15/04/2021 11:48:51Quote from: Halc on 12/04/2021 18:49:33You've not said if the ship is accelerating or not.If it is not accelerating, then it is stationary in its own frame and the two movies will be indistinguishable in every way, assuming you're the same distance from each of them and they were started simultaneously relative to the frame of the ship. Nothing is out of sync. Playing tennis will not work in free-fall.If the ship is accelerating, then you can apply the equivalence principle and say that the experience is the same as watching two screens in a building, one a few floors above you, and one a few floors below you. If they're started simultaneously in the frame of the building, the one above you will run faster and slowly get out of sync with the one below you. Same thing on the ship. Playing tennis only works if you're horizontal relative to each other, not one above the other, so the tennis thing would be like trying to play tennis in an elevator shaft, which doesn't sound much like tennis.How does angular acceleration work vis a vis the speed of light. After all the solar system is under considerable angular acceleration in the galaxy.Taking 230,000,000 years to complete an orbit with 28,000 ly in radius doesn't result in a "considerable" amount of acceleration, but a pretty insignificant one. Locally, any acceleration has no effect on light speed. If you are under acceleration, you still locally measure light as traveling at c. What can be effected is the "coordinate" speed of light( how fast light seems to move relative to you when it is far from you as measured along the line of acceleration). Working this out for the orbiting Solar system ( just considering acceleration and not factoring in the difference in gravitational potential), then the coordinate speed for light at the center of the Earth's orbital path would be just 0.00003% faster than at the Solar system( as measured from the Solar system)I think the speed of the sun in the galaxy is considerable.
What about S stars I know they are not 0.66 but a couple of galaxy's with very large black holes passing each other by, I can imagine we will get there.https://www.cnet.com/news/fastest-ever-star-discovered-orbiting-milky-ways-supermassive-black-hole/#:~:text=Fastest-ever%20star%20discovered%20orbiting%20Milky%20Way%27s%20supermassive%20black,unfathomable%20speed%20of%20nearly%2015%2C000%20miles%20per%20second.
]Roughly 0.08c, which gives a gamma of 1.0033. In terms of time dilation a difference of ~12 sec per hour.
And astronomers have just discovered the quickest of the lot, clocking its fastest speed around Sgr A* at 8% the speed of light.
You've obviously misplaced a decimal.From the article.
Quote from: Petrochemicals on 15/04/2021 23:25:50You've obviously misplaced a decimal.From the article.No, 8% of the speed of light = .08c