Absolute Maxwellian acceleration?

AI Thread Summary
In the discussion on Absolute Maxwellian acceleration, participants explore how to determine which of two spacecraft is accelerating using only electromagnetic field measurements. They argue that an accelerated charge radiates electromagnetic fields, while charges moving together do not produce radiation fields relative to each other. The key method involves observing deviations in the electric field shape from the expected Coulombic form, indicating acceleration. Two thought experiments are proposed: one where a charged craft accelerates past an uncharged observer, and another where the observer accelerates past the charged craft. Ultimately, it is concluded that acceleration can be detected through the effects on electromagnetic fields, affirming that acceleration is absolute within the context of relativity and electromagnetism.
HarryWertM
Messages
99
Reaction score
0
This recent thread:
https://www.physicsforums.com/showthread.php?t=386121"
leads me to the following thought experiment:

Your spaceship flies by another spaceship which appears to be highly electrically charged. From measurement of E and B fields on board your craft, you conclude that either you or the other craft is accelerating. Without referencing any other physics besides Maxwell, can you tell which craft is accelerating? That is, you do not use any Newtonian or Einsteinian or galactic far field acceleration measurements. Only EM field measurements.
 
Last edited by a moderator:
Physics news on Phys.org
An accelerated charge will radiate...
 
jrlaguna said:
An accelerated charge will radiate...

Accelerating charges only radiate when viewed from differently accelerating frames.
Two charges side-by-side, accelerating together do not cause radiation fields to appear against one another.

The way to tell is (for example) to map the electric field of a point charge in your ship. If it deviated from the basic Coulombic shape, then you are accelerating. Put a different way, gravity and acceleration deform electric and magnetic lines of force the same way as they change the trajectory of a moving ball. If your ball doesn't move in a strait line, you ship is accelerating or is in gravity.
 
Ah, thank you. Now I know what I was trying to ask.

Two thought experiments. In both cases we have two space craft,. One is highly charged with a static electrical charge. The second, uncharged, craft is the observer. The two fly by each other. The observer craft measures ONLY the electromagnetic fields generated by the OTHER craft's passage, even though it obviously could do other measures. The observer measures the exterior E and B over a suitable time period.

Test 1: The charged craft flies by while accelerating at a constant rate. The observer does not accelerate.

Test 2: The observer craft flies by while accelerating at a constant rate. The charged craft does not accelerate.

Question: For identical rates of acceleration, will the the fields measured in Test 1 match the fields in Test 2?
 
First, you can always tell if you are accelerating. You feel a force.

Second, it's not possible to build a device that measures the fields from a specific object. One can measure only the total fields.
 
Acceleration is absolute, at least within relativity theory (both special and general) and therefore, electromagnetism. The accelerated charge will lose energy through radiation, the other one will not. @Antiphon: an accelerated dipole radiates too.
 
This is from Griffiths' Electrodynamics, 3rd edition, page 352. I am trying to calculate the divergence of the Maxwell stress tensor. The tensor is given as ##T_{ij} =\epsilon_0 (E_iE_j-\frac 1 2 \delta_{ij} E^2)+\frac 1 {\mu_0}(B_iB_j-\frac 1 2 \delta_{ij} B^2)##. To make things easier, I just want to focus on the part with the electrical field, i.e. I want to find the divergence of ##E_{ij}=E_iE_j-\frac 1 2 \delta_{ij}E^2##. In matrix form, this tensor should look like this...
Thread 'Applying the Gauss (1835) formula for force between 2 parallel DC currents'
Please can anyone either:- (1) point me to a derivation of the perpendicular force (Fy) between two very long parallel wires carrying steady currents utilising the formula of Gauss for the force F along the line r between 2 charges? Or alternatively (2) point out where I have gone wrong in my method? I am having problems with calculating the direction and magnitude of the force as expected from modern (Biot-Savart-Maxwell-Lorentz) formula. Here is my method and results so far:- This...
Back
Top