Physical interpretation of spacetime curvature?

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SUMMARY

This discussion focuses on the conceptualization of spacetime curvature in general relativity, particularly in relation to moving masses such as planets. Participants emphasize that spacetime can be visualized as stretching or twisting, with curvature changing dynamically as mass moves through it. The Penrose spin networks are introduced as a model to understand these distortions, where geodesics represent the structure of space and integer values correspond to Planck lengths. The conversation concludes that spacetime does not simply stretch or grow but undergoes discrete changes influenced by mass, energy, and pressure.

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  • Understanding of general relativity principles
  • Familiarity with spacetime concepts
  • Knowledge of Penrose spin networks
  • Basic grasp of curvature and geodesics
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  • Explore the mathematical framework of general relativity
  • Study the implications of Penrose spin networks in quantum gravity
  • Research the effects of mass and energy on spacetime curvature
  • Learn about geodesics and their role in the structure of spacetime
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Students of physics, researchers in general relativity, and anyone interested in the dynamics of spacetime and its curvature due to mass and energy.

asimov42
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Folks,

I'm in the process of trying to understand spacetime curvature in general relativity. My question might sound odd, but I'm wondering how to best conceptualize spacetime distortions due to a moving mass. If there is a large mass, e.g. a planet, moving through spacetime, the curvature will change. Does spacetime 'stretch' with the change in curvature? Or does it 'grow', i.e. is there somehow an increase in the 'amount' of spacetime in one region as the mass moves, and a corresponding contraction in region the mass previous occupied? (if that makes any sense) Or am I completely off track?

Thanks all.
 
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divergence is best visualized as stretching. curl as twisting. if you are asking what 'really' happens to space then I can't help you.
 
You can also try visualizing the structure of space as Penrose spin networks...think of a geodesic (dome) shape with volumes represented by integer value at nodes, surface areas by integer values along links...an integer represents a Planck length...they change an integer at a time and shapes change/deform/transition in discrete steps...according to mass, energy and pressure...all of which curve space...
 

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