Recent content by Nugatory

It cannot, because time dilation is independent of the energies and momenta involved. This is to be expected because time dilation is implied by the relativity of simultaneity, which depends only on the relative velocities but not on the energy and momentum. The calculations that lead to the...

That's not a "serious" error, a serious error is something like flying a perfectly good airplane into a mountain because you thought your altimeter was showing meters when it was reading feet. Kidding aside, everyone makes that mistake at some point when they're first learning QM.

That is not what time dilation means. Consider that right now you are moving at that speed relative to a cosmic ray particle wandering through the solar system - but is your time slowed down? No of course not, time is passing for you at the rate of one second per second just as you expect. We...

There is, and the “similar threads” section below will take you to some of the older threads about this. An excerpt from one of them: Consider a black hole of mass ##M##, surrounded by a spherically symmetrical shell of dust with total mass ##m## at a great distance from the black hole and...

You might want to look at the relativistic velocity addition formula, which combines the effects of relativity of simultaneity, length contraction, and dilation for this sort of problem. This formula tells us the speed ##w## of something relative to you if it is moving at speed ##u## relative...

@Asaad-Hamad We can answer questions, but we can’t make you like the answer. The questions in the original post and repeated in #11 have been answered, so this thread is closed.

Suppose we just focus on your three questions: 1: Yes, it is possible to design equipment with the required sensitivity. 2: Everyone who has done modern physics experiments will tell you that, yes, many things can and will go wrong. It's unusual for any experimental apparatus to work...

That’s the principle of relativity and it’s not Einstein, it’s Galileo from centuries earlier - Google for “Galilean transformations”. Einstein’s contribution was to show that the Maxwell’s laws of electricity and magnetism will obey that principle if we use the Lorentz transformations instead...

However he also had been through the most rigorous physics program available at the the time, had completed his PhD, was a regular correspondent with many of the top physicists of the era and was familiar with the work that had already been done by Lorentz, Fitzgerald, Poincaré towards the...

And this is why the ether was hypothesized in the first place, and the motivation for the MM experiment which would detect it. At least that's how I understand the history.

There is a reason why Google AI and other LLMs are not acceptable sources here. Stop quoting them, stop wasting your time trying to understand physics from what they say.

In coordinate-independent language, it means that the Riemann curvature tensor is zero at that point (and "close enough" to zero nearby).

You might want to start by working through the Twin Paradox FAQ: https://math.ucr.edu/home/baez/physics/Relativity/SR/TwinParadox/twin_paradox.html

It can be even simpler (and may have been what @Ibix was doing way back in #2 of this thread): Remove the earth and its gravitational field from the problem. Likewise remove the sun and its gravitational field. Now we have a flat spacetime, no general relativistic complications, can use...

Minkowski spacetime and Minkowski coordinates are different things. The spacetime is what it is no matter what coordinates we use to label events within it. Stating the invariant speed of light in terms of ##x## and ##t## is inherently coordinate-dependent. The coordinate-independent...