What is the opposite of a field theory?

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Discussion Overview

The discussion revolves around the concept of field theories in physics, specifically exploring what constitutes the opposite of a field theory. Participants examine whether Newton's Laws fit into this category and seek to identify a general classification for theories that do not qualify as field theories.

Discussion Character

  • Conceptual clarification, Debate/contested

Main Points Raised

  • One participant notes that Maxwell's equations and General Relativity are examples of field theories, while questioning if Newton's Laws are not a field theory.
  • Another participant suggests that quantities described as fields obey field equations, implying that Newton's Laws describe particles as points rather than fields.
  • A participant asks for a general term to describe theories that are not field theories, proposing terms like "particle theory" or "action at a distance theory."
  • One participant proposes the term "point-particle theory" as a classification for non-field theories.

Areas of Agreement / Disagreement

Participants express differing views on the classification of theories that are not field theories, with no consensus reached on a single term or definition.

Contextual Notes

The discussion does not resolve the definitions or classifications of non-field theories, and assumptions regarding the nature of these theories remain unaddressed.

resurgance2001
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Hi

I understand that Maxwell's equations, and General Relativity are both field theories. I am trying to understand what the opposite of a field theory is, or what is not a field theory. For example, am I correct in believing that Newton's Laws are not a field theory? Is that is true then what type of theory is represented by Newton's Laws?

Thanks
 
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If you describe your quantities as a field, then they obey a field equation... otherwise not.
As you said, particles described in Newton equations are not treated as fields (extended over a region of space) but as points.
 
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So what would you call this type of theory in general? Would it be a particle theory or an 'action at a distance theory?' Is there a general name for theories which are not field theories? Thanks
 
I would call it point-particle theory...
 
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