How Does Space-Time Fabric Elasticity Influence Time Flow?

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Discussion Overview

The discussion revolves around the concept of space-time as a fabric and how its elasticity might influence the flow of time. Participants explore theoretical implications, interpretations of gravitational effects, and the nature of time in the context of general relativity.

Discussion Character

  • Exploratory
  • Debate/contested
  • Technical explanation

Main Points Raised

  • One participant suggests that high elasticity of the space-time fabric leads to an increasing curvature around massive objects, resulting in a faster flow of time, while low elasticity would slow down time due to decreasing curvature.
  • Another participant argues that time does not flow in a space-time representation, describing it as a static dimension where all events are fixed and can be inspected as a whole.
  • A different participant challenges the initial assumption about the rubber-sheet metaphor, stating that gravitational time dilation is dependent on gravitational potential rather than curvature, referencing the Pound-Rebka experiment.
  • Another contribution emphasizes that space and time are variable, influenced by relative speeds and gravitational potential, and highlights the role of energy and momentum in gravitational effects as described by the Einstein stress-energy-momentum tensor.

Areas of Agreement / Disagreement

Participants express differing views on the nature of time and its relationship with space-time. There is no consensus on the influence of space-time fabric elasticity on time flow, with multiple competing interpretations presented.

Contextual Notes

Participants reference various interpretations of gravitational time dilation and the nature of time, indicating potential limitations in understanding due to differing foundational assumptions about space-time.

nouveau_riche
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if i consider space time to b a fabric as considered by einstein then expansion of this fabric leads in two direction
1-if the fabric has high elasticity then the curvature of space caused by the a massive object will keep on increasing,thus the flow of time will be faster and faster
2-if the fabric has low elasticity then the curvature will keep on decreasing thus the flow of time will be slow

which one is correct?
 
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Time does not flow in a space-time representation. It is a 'static' dimension like space, and the whole space-time object is a static object. Nothing goes anywhere, and nothing changes. All the going and changing has been done and can be inspected baked into the finished loaf.

That's the way I understand it, anyway.
 
Please don't use text-speak on PF. You're on the wrong track because your question assumes an overly literal interpretation of the rubber-sheet metaphor. Gravitational time dilation in GR depends on the difference in gravitational potential, not the curvature. Example: http://en.wikipedia.org/wiki/Pound-Rebka_experiment
 
Space and time ARE variable; that is, they are not static and fixed as Newton presupposed. Only the speed of light is fixed for all inertial observers. So things are not as they superficially appear!

Two things affect the observed passage of time: relative speeds and gravitational potential.

There is a nice brief summary of gravitational time dilation here:

http://en.wikipedia.org/wiki/Gravitational_time_dilation

You can read about length contraction and time dilation here:

http://en.wikipedia.org/wiki/Special_relativity

Mass is not the only thing that has gravitational affects: energy (like radiation), pressure, momentum also affect gravitational attraction...as compiled in the Einstein stress energy momentum tensor which is the actual mathematical source of curvature.
 
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