Planck time/length infinite and defined?

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Discussion Overview

The discussion revolves around the concepts of Planck time and Planck length, specifically questioning whether these quantities can be considered infinite or if they represent defined limits in physics. The scope includes theoretical considerations and conceptual clarifications regarding the nature of spacetime and the intersection of mathematics with physical reality.

Discussion Character

  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • Some participants propose that the shortest interval of time and the smallest object could be infinite, suggesting that one could continually divide them without reaching a definitive limit.
  • Others argue for a view that spacetime is pixelated into discrete volumes of Planck length, likening it to the resolution limits of a digital image.
  • There is a contention that mathematics and physical reality may diverge at certain scales, with some participants emphasizing that current mathematical frameworks do not definitively prove the nature of these scales.
  • Some participants express uncertainty about the ability to probe such small length scales, indicating that any assumptions about them remain unverified by experimental evidence.
  • A later reply reiterates that any connection between mathematics and physical reality regarding these scales is not yet established and may rely on faith rather than empirical evidence.

Areas of Agreement / Disagreement

Participants express differing views on whether Planck time and length can be considered infinite or defined, with no consensus reached on the matter. The discussion remains unresolved with multiple competing perspectives presented.

Contextual Notes

Limitations include the lack of empirical evidence to probe the scales of Planck time and length, and the dependence on interpretations of mathematical frameworks that may not align with physical reality.

jarroe
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Wouldn't the shortest interval of time and the smallest object always be an infinite #? How can you ever stop splitting something in half? Hard to fathom on that level I guess. Logic tells me they are infinite?
 
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I think you're looking at it all wrong. There is a view that Spacetime is pixelated into small volumes of Planck length. Rather like a digital photo where you can only zoom in so far.
 
Makes it easier to comprehend. thanks
 
This is one of many examples where Maths and 'Reality' part company at some stage.
 
sophiecentaur said:
This is one of many examples where Maths and 'Reality' part company at some stage.
We don't know that yet. Some people presume it to be the case, but we are not anywhere near being able to probe length scales this small to actually see.
 
DaleSpam said:
We don't know that yet. Some people presume it to be the case, but we are not anywhere near being able to probe length scales this small to actually see.
Agreed. But the Maths doesn't prove it either way. Any connection would, as yet, be a matter of faith, not based on available evidence.
 

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