Force Law Transformation: Implications for Hooke's Law?

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SUMMARY

The discussion centers on the implications of the Lorentz force transformation for classical force laws, specifically Hooke's Law. It raises the question of whether all force laws, including Hooke's and Lorentz, should transform similarly, which leads to considerations about the Spring Constant in Hooke's Law. The participants reference two significant papers for further exploration: one from Princeton University and another from arXiv, both of which delve into the mechanics of force transformations.

PREREQUISITES
  • Understanding of Lorentz force transformation
  • Familiarity with Hooke's Law and Spring Constant
  • Basic knowledge of classical mechanics
  • Ability to interpret academic papers in physics
NEXT STEPS
  • Read the paper "Force Transformation in Mechanics" from Princeton University
  • Examine the arXiv paper on gravitational quantum mechanics
  • Explore advanced concepts in classical mechanics related to force laws
  • Investigate the mathematical implications of force transformations on physical constants
USEFUL FOR

Physicists, mechanical engineers, and students studying classical mechanics who are interested in the relationship between different force laws and their transformations.

GRDixon
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The Lorentz force transformation (or the transformation of d(mv)/dt) is well known. Should all force laws (Hooke, Lorentz, etc.) transform like F? If so, what does this suggest about the Spring Constant in Hooke's Law?
 
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DaleSpam said:
Maybe these will help:
http://www.physics.princeton.edu/~mcdonald/examples/mechanics/gron_ajp_49_28_81.pdf
http://arxiv.org/abs/gr-qc/9906094v1

Many thanks. I have printed out the two papers and will study them at length.
 
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