Is Geometry Simply a Mathematical Model for Physical Bodies?

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Discussion Overview

The discussion revolves around the relationship between geometry and physical bodies in the context of string theory (ST) and general relativity (GR). Participants explore whether geometry serves merely as a mathematical model or if it has a more substantive role in influencing the behavior of physical entities.

Discussion Character

  • Exploratory
  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • One participant questions how string theory, conceptualized as geometry, can compel physical bodies to follow specific paths.
  • Another participant suggests that string theory describes gravity in the infrared limit, implying a connection to general relativity's treatment of geometry.
  • A participant references Einstein's 1920 address, arguing that geometry is tied to physical substance and raises the question of whether this idea has been discarded in modern physics.
  • There is a request for clarification on whether "ST" refers to string theory or "SR" refers to special relativity, indicating potential confusion in terminology.
  • A later reply acknowledges the eloquence of Einstein's ideas and expresses a desire to revisit the notion of geometry as substance.

Areas of Agreement / Disagreement

Participants express differing views on the role of geometry in physics, with some questioning its foundational significance while others reference historical perspectives. The discussion remains unresolved regarding the current status of these ideas in modern physics.

Contextual Notes

There are limitations in the discussion regarding the assumptions underlying the relationship between geometry and physical reality, as well as the definitions of terms like "geometry" and "substance." The implications of Einstein's ideas are also not fully explored.

wolram
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I could understand ST being modeled as some computer program where bodies follow
some imputed mathematical formula, but how does ST as geometry force physical bodies to follow some path?
 
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Well, string theory describes gravity in the IR, so presumably the answer is the same as in GR.
 
wolram said:
I could understand ST being modeled as some computer program where bodies follow
some imputed mathematical formula, but how does ST as geometry force physical bodies to follow some path?

At least in this address by Einstein in 1920, he was convinced that geometry existed because of substance:
Recapitulating, we may say that according to the General Theory of Relativity space is endowed with physical qualities; in this sense, therefore, there exists an Aether. According to the General Theory of Relativity space without Aether is unthinkable; for in such space there not only would be no propagation of light, but also no possibility of existence for standards of space and time (measuring-rods and clocks), nor therefore any space-time intervals in the physical sense. But this Aether may not be thought of as endowed with the quality characteristic of ponderable media, as consisting of parts which may be tracked through time. The idea of motion may not be applied to it.

I wonder if this may be revisited or if it has been discarded for good in modern physics.
 
wolram---

I was confused... Do you mean ST (string theory?) or SR (special relativity) ?
 
dilletante said:
At least in this address by Einstein in 1920, he was convinced that geometry existed because of substance:


I wonder if this may be revisited or if it has been discarded for good in modern physics.


This is what i meant but was unable to verbalise with so much eloquence, Einstein has
once again eclipsed what i imagined was an original thought.
 

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