All Questions
9
questions
5
votes
1
answer
302
views
EM 4-potential vs gravity 4-potential?
In classical field theory, the electrostatic and gravitational fields have very similar differential forms:
$$\vec \nabla\cdot \vec{E}=\frac{\rho}{\varepsilon_0}$$
$$\vec \nabla\cdot \vec{g}=-4\pi G\...
3
votes
1
answer
568
views
How close was Maxwell to general relativity? [closed]
In a recent paper by Accolierastro's recent video, she goes back to Maxwells seminal paper on electromagnetism, and the section on gravity. In Maxwells paper, he notes the similarity between the lines ...
2
votes
3
answers
348
views
Can we construct a logically self-consistent relativistic theory of gravity just by tweaking EM?
This question considers a modification of classical E&M where we simply reverse the relative sign in Maxwell's equations and change the "$q$" in the Lorentz force law to an "$m$&...
0
votes
0
answers
66
views
Is the theory of electromagnetism very incomplete in physical interpretation? [duplicate]
Just like in Newtonian gravity, do we simply accept charge being naturally attracted to the opposite charge with a very similar Newtonian style force? (Coulomb)
Shouldn't there be a meaningful theory ...
0
votes
1
answer
89
views
Different answers for the same problem, Einstein's relativity vs Newton's gravity [duplicate]
I had struggle to find the answer to this question:
Imagine two charged identical particles, one stationary relative to earth, and the other one is free falling (to earth).
We know that an accelerated ...
3
votes
1
answer
129
views
Numerical solution to the relative gravitational time dilation of induced dipolar gravitational fields
In gravitoelectromagnetism, an approximation to general relativity in the weak field limit, Einstein's equations simplify into a form very similar to Maxwell's equations. In this field, traditional ...
1
vote
2
answers
186
views
Why don't orbits of bodies in the Solar System decay analogously to classical atoms?
The main drawback in Rutherford's model of the atom as pointed out by Niels Bohr was that according to Maxwell's equations, a revolving charge experiences a centripetal acceleration hence it must ...
3
votes
0
answers
576
views
Can a Set of "Maxwell's Equations" for Newtonian Gravitation be Derived from Newton's Force + Special Relativity?
When I learned about electromagnetism in my first year of undergraduate school, Maxwell's equations were derived roughly in the following way (see also here or in [1]): Gauss's law for a static ...
10
votes
4
answers
14k
views
Similarity between the Coulomb force and Newton's gravitational force
Coulomb force and gravitational force has the same governing equation. So they should be same in nature. A moving electric charge creates magnetic field, so a moving mass should create some force ...