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Generalizing the Galilean law of addition of velocities using the Lorentz transformation [closed]

I am reading about how to generalize the Galilean law of addition of velocities using the Lorentz transformation, but I am confused about one step. Here, I have the following equations for Lorentz ...
Gene's user avatar
  • 63
2 votes
0 answers
41 views

Is there a general methodology for causal nets of observables regardless of kinematics?

The typical definition of a causal net of observables in quantum theory is to consider, for the case of a (globally hyperbolic) spacetime $M$, the category of open sets $O(M)$ ordered by inclusion, in ...
Slereah's user avatar
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-1 votes
3 answers
107 views

Why doesn't Galilean relativity lead to a contradiction in SR?

Two identical spaceships commanded by Alice and Bob are at rest next to each other in outer space. The clocks of the spaceships are synchronised; and when they are close by Alice can see Bob's clock ...
John Nygate's user avatar
6 votes
2 answers
536 views

Confusion regarding bundle structure of Galilean spacetime in Penrose's The Road to Reality

I am reading Roger Penrose's The Road to Reality. In section 17.3, I encounter the following passage. To give a context, Penrose was explaining that even though an Aristotelian spacetime can be ...
Faber Bosch's user avatar
0 votes
2 answers
248 views

Absolute Space & Inertial Frames

When we solve the twin paradox we say something like the traveling twin has a Rindler Metric while the stationary twin has a Minkowski metric, or more plainly, the traveling twin experiences non-zero ...
Joeseph123's user avatar
7 votes
3 answers
2k views

Galilean spacetime interval?

Does it make sense to refer to a single Galilean Invariant spacetime interval? $$ds^2=dt^2+dr^2$$ Or is the proper approach to describe separate invariant interval for space (3D Euclidean distance) ...
user175324's user avatar
-1 votes
5 answers
780 views

How do we mathematically know for sure that absolute time is abandoned in relativity?

It is an often mentioned assumption in physics that in going from classical to relativistic spacetime the main difference is that the absolute time postulate holding in the former is "relaxed" or ...
bonif's user avatar
  • 214