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12 votes
5 answers
2k views

Could relativity be consistent if there are multiple light-like fields with different invariant speeds?

My understanding of real physical theory of electromagnetism goes like this: The Maxwell equations can be used to derive the speed of light; $$\nabla\cdot\textbf{E}=0$$ $$\nabla\cdot\textbf{B}=0$$ $$\...
spraff's user avatar
  • 5,148
1 vote
2 answers
132 views

Do events very far away happen in a different timeline?

I am not sure how to ask this question in a concise manner so I am sure somebody out there explained it but I cannot seem to find it. So I recently watched some videos explaining that $c$ not only ...
VJZ's user avatar
  • 119
1 vote
1 answer
112 views

How to show mathematical equivalence between the idea of relativistic mass and the geometric explanation of why massive objects can't reach $c$?

I've frequently seen two different explanations for why, in SR, it's impossible for an massive object to reach $c$: As a massive object approaches $c$, its kinetic energy starts being converted to ...
Mikayla Eckel Cifrese's user avatar
2 votes
3 answers
444 views

Why does $ds^2=0$ for a light signal's worldline in general relativity?

I know that in special relativity, the invariant interval $ds^2$ for a light signal's worldline is $$ds^2=\eta_{\mu\nu}dx^\mu dx^\nu=0$$ where the flat metric $\eta_{\mu\nu}=\text{diag}(-1,1,1,1)$. ...
TaeNyFan's user avatar
  • 4,235
0 votes
1 answer
415 views

Difficulty in understanding the three classes of events of light-cone

Recently I'm reading Chapter 2: Space and Time of A Brief History of Time. The paragraph that follows the light cone says: Given an event P, one can divide the other events in the universe into ...
yaobin's user avatar
  • 103
0 votes
2 answers
51 views

Why do we locate stars based on the light we see from earth?

Mapping space from our milky-way to Laniakea and the CMB, we always put a star or galaxies position from the light we see in that 3d coordinates of the universe. But really if a star or galaxy we look ...
Chris Roberts's user avatar
1 vote
1 answer
461 views

Are all time-like and light like separated events causally connected?

It is well known that all causally connected pairs of events are either time-like or light-like separated. Is the inverse -'All time-like or light like separated events are causally connected'- also ...
user avatar
0 votes
1 answer
302 views

Is gravity instantaneous? [duplicate]

I want to know if (hypothetically) a star appears out of nowhere at a certain distance (say 20 light seconds) away from me, how long will it take for me to get the feel of it's gravity? Will I know it ...
goodbytes's user avatar
  • 141