Time, Space, Fields, Spacetime & General Relativity

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Discussion Overview

The discussion revolves around the conceptualization of time and space as fields, exploring implications for spacetime and general relativity. Participants examine the definitions and relationships between these concepts, focusing on theoretical and conceptual aspects.

Discussion Character

  • Exploratory, Conceptual clarification, Debate/contested

Main Points Raised

  • Some participants question whether time and space can be considered fields, with one expressing uncertainty about the meaning of such a characterization.
  • Another participant suggests that defining spacetime as a field would be circular, as a field is defined by having a value at each point in spacetime.
  • One contribution clarifies that spacetime is better understood as a manifold equipped with a metric, which is described as a tensor field.
  • A quote from John Stachel is referenced, emphasizing the necessity of a metric in the context of spacetime.

Areas of Agreement / Disagreement

Participants do not reach a consensus on whether time and space can be thought of as fields, with differing opinions and interpretations presented throughout the discussion.

Contextual Notes

There are limitations in the definitions and assumptions regarding fields, spacetime, and metrics that remain unresolved in the discussion.

Immortal68
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TL;DR
Can time and space be thought of fields?
Can time and space be thought of fields? And if so, how can this affect spacetime? And then what would this mean for affect general relativity?
 
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Immortal68 said:
Can time and space be thought of fields?

I have no idea what that would even mean, so I think the answer is no.
 
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Immortal68 said:
Summary:: Can time and space be thought of fields?

Can time and space be thought of fields?
A field is something that has a value at each point in spacetime. So it would be quite circular to define spacetime as a field.
 
What we call spacetime actually is a manifold equiped with a metric, which is a tensor field.

In John Stachels words: "no metric, no nothing."
 
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