Interaction Energy how does it transform between inertial frames?

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Discussion Overview

The discussion centers around the transformation of interaction energy between different inertial frames of reference, exploring the implications of energy not being invariant across frames. Participants question how to calculate interaction energy when transitioning between frames, particularly in the context of classical and relativistic physics.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • Some participants assert that energy is not invariant between frames, using kinetic energy as an example to illustrate this point.
  • There is a question raised about the definition of interaction energy, with one participant suggesting that mutual potential energy serves as a good example.
  • One participant proposes using the stress-energy-momentum tensor to calculate interaction energy in different frames, while cautioning against treating particles as point particles due to potential issues with infinite energy.
  • A reference to a paper by T. Plakhotnik is suggested as potentially useful for understanding the relativistic mass-energy relation for internal kinetic and potential energies of composite systems.

Areas of Agreement / Disagreement

Participants generally agree that energy is not invariant across frames, but there is no consensus on the specific methods for calculating interaction energy in different frames. Multiple competing views and questions remain unresolved.

Contextual Notes

Limitations include the dependence on definitions of interaction energy and the potential issues arising from treating particles as point particles in classical physics. The discussion does not resolve the mathematical steps involved in transforming interaction energy.

Who May Find This Useful

Readers interested in the theoretical aspects of energy transformation in physics, particularly in the context of relativistic and classical mechanics, may find this discussion relevant.

Abu Abdallah
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Energy is not an invariant quantity between different frames of reference. For example a particle having a kinetic energy in one frame has a zero kinetic energy in another frame. But what about interaction energy? If I know the interaction energy between 2 particles in one frame, how can I calculate that energy in another one?
 
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What is an interaction energy?
 
Abu Abdallah said:
Energy is not an invariant quantity between different frames of reference. For example a particle having a kinetic energy in one frame has a zero kinetic energy in another frame. But what about interaction energy? If I know the interaction energy between 2 particles in one frame, how can I calculate that energy in another one?
By using the stress-energy-momentum tensor. If we're speaking classically then one must not allow the particle to be a point particle since then you run into infinite energy.
Ich said:
What is an interaction energy?
The mutual potential energy between to objects is a good example.

Pete
 
interaction energy

Abu Abdallah said:
Energy is not an invariant quantity between different frames of reference. For example a particle having a kinetic energy in one frame has a zero kinetic energy in another frame. But what about interaction energy? If I know the interaction energy between 2 particles in one frame, how can I calculate that energy in another one?
Probably the paper
T. Plakhotnik "Explicit derivation of the relativistic mass-energy relation for internal kinetic and potential energies of a composite system," Eur.J.Phys. 27, 1-5 2006
could be usefull.
 

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