I know the norm of any 4-vector is Lorentz invariant, but the only expression which comes to mind that contains the gamma factor would be the energy.
E=-\vec{p}\cdot\vec{e_t}=m\gamma
I guess the mass from the momentum ##\vec{p}## and from the right hand side would cancel.
Proper time of B in A's frame ? Isn't the notion of proper time tied to one reference frame ? i.e. there is just one proper time of B: that measured by B.
Or do you mean "how would A compute the proper time of B?" In which case I would guess by creating two new 4 velocity vectors, one in which A...
I would think it is the ratio between the two as I previously posted. That would measure how the proper time of A ellapses relative to the proper time of B.
Homework Statement
Two rockets are orbiting a Schwarzschild black hole of mass M, in a circular path at some location R in the equatorial plane θ=π/2. The first (rocket A) is orbiting with an angular velocity Ω=dΦ/dt and the second (rocket B) with -Ω (they orbit in opposite directions).
Find...
Homework Statement
Derive the equation for the potential energy of a system of 2 hydrogen atoms as a function of internuclear distance.
Homework Equations
For electron/electron and nucleus/nucleus repulsion:
V_E=\frac{e^2}{4\pi\epsilon_0 R}
For electron/nucleus attraction...