The invariant momentum-space volume element?

pellman
Messages
683
Reaction score
6
When we way that

\frac{d^3p}{p_0}=\frac{d^3p}{\sqrt{m^2+\vec{p}^2}}

is the invariant volume element, is that with respect to all Lorentz transformations or just proper orthochronous Lorentz transformations?
 
Physics news on Phys.org
The latter
 
Thanks.
 
Thread 'Can this experiment break Lorentz symmetry?'

Thread 'Can this experiment break Lorentz symmetry?'

1. The Big Idea: According to Einstein’s relativity, all motion is relative. You can’t tell if you’re moving at a constant velocity without looking outside. But what if there is a universal “rest frame” (like the old idea of the “ether”)? This experiment tries to find out by looking for tiny, directional differences in how objects move inside a sealed box. 2. How It Works: The Two-Stage Process Imagine a perfectly isolated spacecraft (our lab) moving through space at some unknown speed V...
View full post »

Thread '1-Way Speed of Light'

Does the speed of light change in a gravitational field depending on whether the direction of travel is parallel to the field, or perpendicular to the field? And is it the same in both directions at each orientation? This question could be answered experimentally to some degree of accuracy. Experiment design: Place two identical clocks A and B on the circumference of a wheel at opposite ends of the diameter of length L. The wheel is positioned upright, i.e., perpendicular to the ground...
View full post »

Thread 'How can a black hole absorb matter?'

According to the General Theory of Relativity, time does not pass on a black hole, which means that processes they don't work either. As the object becomes heavier, the speed of matter falling on it for an observer on Earth will first increase, and then slow down, due to the effect of time dilation. And then it will stop altogether. As a result, we will not get a black hole, since the critical mass will not be reached. Although the object will continue to attract matter, it will not be a...
View full post »

Similar threads

A Show Lagrangian is invariant under a Lorentz transformation without using generators
Replies
3
Views
1K
I Meaning of the invariants built from the angular momentum tensor
Replies
1
Views
982
I Coord Transform in de Sitter Space: Phys Significance &Linearity?
Replies
5
Views
2K
I Invariant Mass-Energy in FRW Spacetime
Replies
19
Views
2K
I Understanding Lorentz Factor & Proper Time Invariance
Replies
32
Views
3K
Invariance of a volume element in phase space, What does it mean?
Replies
1
Views
1K
I Stress-energy tensor and energy/momentum conservation clarification
Replies
21
Views
3K
I Diffeomorphism invariance of GR
2
Replies
73
Views
11K
I What, exactly, are invariants?
3
Replies
144
Views
10K
A Dirac "GTR" Eq. 27.11 -- how to show that a boundary term vanishes?
Replies
4
Views
1K

Hot Threads

Recent Insights

Back
Top