Calculating Field Strengths of EM & Gravitational Fields

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Calculating the field strengths of electromagnetic and gravitational fields involves using Maxwell's equations and general relativity, respectively. In general relativity, field strength is not defined in the same way as in electromagnetism; instead, curvature of spacetime is described through tensor quantities like the Riemann and Ricci tensors. The Ricci Scalar can be interpreted as a coupling constant representing the strength of gravity. The discussion also touches on the relative strengths of fundamental interactions and their dependence on coupling constants, questioning whether these strengths are energy-dependent as suggested in grand unified theories. Understanding these relationships is crucial for connecting particle physics with gravitational and electromagnetic theories.
Schreiberdk
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Hi there PF

How does on calculate the field strenght of the electromagnetic field (from Maxwells equations) and of the gravitational field (from general relativity).

I want to relate this to particle physics, where the relative strenghts of the fundamental interactions are calculated here (http://en.wikipedia.org/wiki/Fundamental_interaction#Overview), but how are these relative strengths calculated? Does it have something to do with coupling constants? and how does one find these in general relativity and in maxwells equations?

Also i would like to ask, whether these are energy dependent, as in grand unified theories, where on states that the fundamental forces become equal in strenght at certain levels of energy.

Thanks in advance
\Schreiber
 
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In Classical GR there is no "field" strength per say since it is space - time geometry and its curvature one is modeling mathematically. One can calculate tensor quantities such as the Riemann Tensor or the Ricci Tensor for a given metric to see how much space - time is curved at each point in the coordinate system being used for the metric or the Ricci Scalar for a coordinate invariant expression for the curvature. Correct if I am wrong.
 
So I know that electrons are fundamental, there's no 'material' that makes them up, it's like talking about a colour itself rather than a car or a flower. Now protons and neutrons and quarks and whatever other stuff is there fundamentally, I want someone to kind of teach me these, I have a lot of questions that books might not give the answer in the way I understand. Thanks
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