All Questions
16
questions
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1
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36
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Doppler shift phenomenon for non-inertia frames
The Doppler shift phenomenon is well understood when the source and observer are in relative constant motion. However, I'm curious to know how the Doppler shift phenomenon is modified when they (i.e., ...
- 342
1
vote
0
answers
36
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How do 4-vectors change under an "accelerated" Lorentz transformation?
I assume that an observer moving with velocity $\mathbf{v} = v\mathbf{n} = \mathbf{v}(t)$ (with respect to another observer) has coordinates
where $x^{\mu}$ are the coordinates for the observer who ...
- 391
2
votes
2
answers
143
views
Why is simultaneity a requirement for the distance function of Galilean space?
At the end of Chapter 2 of his Course in Mathematical Physics, Szekeres discusses the notion of a symmetry group. I present my definition, adapted from his, here:
We say that a transformation $g: X \...
- 1,095
1
vote
2
answers
149
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Is work done relative according to the theory of special relativity?
I performed a thought experiment.
Consider a body $A$ and another body $B$.
Body $B$ is moving at velocity $v$ in direction $x$ with respect to $A$. This implies that body $A$ is moving at velocity $v$...
user355398
1
vote
0
answers
136
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Assumptions in Galilean and Relativistic Frame Transformation
While deriving the frame transformation equations, either the Galilean Transformation or Lorentz transformation. I have seen almost all authors mentioning/assuming that if an inertial frame $\textbf{S}...
- 335
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votes
1
answer
102
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Special relativity v.s. "homogeneous time" within an inertial reference frame
I am asking a conceptual question.
As we learned from classical mechanics, say Lagrangian formulation, as stated in Chap 7.9 of Classical Dynamics book by Thornton-Marion (5th Ed) p.260:
in our ...
- 4,336
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votes
0
answers
54
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A thought experiment to prove that Newtonian gravity is incomplete [duplicate]
A particle is at rest in one frame having mass $m$. It'll attract another mass proportional to its mass ( newtons law) .
We jump into another frame moving close to speed of light. In this frame it's ...
- 1,260
2
votes
1
answer
341
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Find COM velocity with respect to laboratory reference frame [closed]
I'm trying to solve the following homework question.
Suppose that in the laboratory frame of reference we have $2$ particles. Particle "$a$" is at rest with total energy $E_a$, while ...
- 207
1
vote
2
answers
555
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What does the Problem 14 from Goldstein's book on classical mechanics chapter-7 (special relativity) really mean?
I am having difficulty in understanding problem number 14 in Goldstein's Classical Mechanics, 3rd edition, chapter 7 on special relativity. Here is the problem ---
A rocket of length $l_0$ in its ...
- 1,088
3
votes
4
answers
672
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Understanding the definition of tangent basis
This question could sound silly but I though a lot about it and I'm not new to physics.
Let's say I have a plane on which I use polar coordinates, it means a point $P$ can be indicated by its ...
- 1,894
4
votes
2
answers
1k
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What are change of frame and change of coordinates?
What's the difference between a change of frame and a change of coordinates?
I feel like both are transformations on the coordinates but change of frame changes also the vectors.
- 1,894
2
votes
3
answers
184
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Why cannot we determine our own velocity?
I know it would violate the principle of relativity. But have there been serious experimental attempts to contradict that principle?
If I am in a moving train without windows and totally sound proof,...
- 951
4
votes
4
answers
2k
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Is rotation absolute? [duplicate]
I was reading an article that rotation instead of linear motion is absolute. Can anyone explain why? Shouldn't an observer (A) moving in a circle around a point in an object that rotates (with respect ...
- 1,648
0
votes
1
answer
106
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beta velocity notation in Galilean matrix
I was looking at the Galilean transformation matrix and came across a matrix for Galilean of the form.
$$\begin{pmatrix}x'\\ y'\\ z'\\ t'\end{pmatrix}=\begin{pmatrix}1&0&0&-\beta c\\ 0&...
- 579
1
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1
answer
419
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How can I interpret or mathematically formalize Maxwellian, Leibnizian, and Machian space-times?
I've been reading the book, World Enough and Space-Time, and I came across a rough list of classical space-times with varying structural significance.
Here is the same list, minus Machian Space-time,...
