# Questions tagged [galilean-relativity]

This tag is for questions related to the Newtonian Era idea that space and time are the same for everyone while speed adds up in the straightforward direction (if you are going 50 mph and throw something 20 mph it is going 70 mph) DO NOT use this tag for questions related solely to General Relativity.

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### Coordinate Transformation using a Matrix

Consider two inertial and resting frames $K$ and $G$. The only difference between the two frames is that the axes of $G$ has been rotated with $\theta$ with respect to $K$. $G$ is not constantly ...
• 193
1 vote
87 views

### Galilean relativity in terms of homogenity for car example

I have a question related to Landau & Lifshitz's book. In that, he says: If we were to choose an arbitrary frame of reference, space would be inhomogeneous and anisotropic. This means that, even ...
• 525
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### How can I solve this problem about energy conservation according to different frames of reference?

We have two frames of reference: the Earth (E) and a train (T) uniformely moving at velocity u relative to the Earth. We also have a particle that is initially stationary relative to the train, and is ...
• 435
59 views

### Inertial coordinate systems being invariant under time translation in Newton's Principle of Detrimancy

I have the same question posted as Newton's equation under time translation except I am not seeking the physical justification of the first claim but rather the mathematical justification of the ...
• 17
45 views

### D Alembert Wave Equation is not Gallean Invariant but Why y=Asin(wt-kx) is Gallean Invariant? [duplicate]

I just watched this video from MIT 8.04 Quantum Physics I by Barton Zwiebach, explaining Galilean transformation of y=Asin(wt-kx). I have a confusion, are ordinary waves Galilean invariant or not? ...
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• 860
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### What is metric (invariant) in Newton mechanics (equivalent to spacetime interval of Minkowski space)?

The answer might be obvious for those with much experience, but I could not get it via web search. https://en.wikipedia.org/wiki/Minkowski_space From the second postulate of special relativity, ...
• 151
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### Extending the Galilean transformation to the case of a possibly spacetime-dependent velocity field?

In all literature I have searched, the Galilean transform between two coordinates $(\overrightarrow{x},t)$ and $(\overrightarrow{x'},t')$ have been considered for a "constant velocity". That ...
• 1,669
1 vote
85 views

### Galilean Transformation of the EM fields

I was going through the proof that Maxwell's equations are not invariant under Galilean Transformations. If we consider two inertial frames (S and S' moving with velocity $\vec u$ with respect to the ...
• 129
105 views

### Invariance of continuity equation for Galilei transformations

I want to prove that the continuity equation for fluids, $$\dfrac {\partial \rho}{\partial t} + \nabla \cdot (\rho \textbf{u}) = 0$$ is invariant by Galilei transformations. My attempt: Using index ...
• 115
724 views

### How can we talk about motion when space at different times can't be compared? (Explanation of Galilean Spacetime by Penrose)

In Galilean dynamics, we do not have just one Euclidean 3-space $E_3$, as an arena for the actions of the physical world evolving with time, we have a different $E_3$ for each moment in time, with no ...
76 views

### In galilean relativity, is an observer assumed to be at rest only to simplify calculations, or is there a physical reason for this assumption?

I am a beginner in Physics and my teacher taught us "Relative Motion" yesterday. He said that the "Observer is assumed at rest." Is the observer assumed to be at rest only to ...
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### Velocity addition as a special case of change of reference frame

In this question, I want to restrict the discussion to classical mechanics as understood before 1900; that is, to exclude any discussion of relativity (however, if there is a neat generalization I ...
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