Smallest \Delta T - Questions & Answers

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Discussion Overview

The discussion revolves around the question of whether there exists a smallest measurable interval of time, denoted as \Delta T. Participants explore concepts related to time measurement, particularly in the context of quantum mechanics and theoretical physics.

Discussion Character

  • Debate/contested
  • Conceptual clarification
  • Technical explanation

Main Points Raised

  • One participant suggests that the Planck Time, approximately \(5 \times 10^{-44} \mbox{s}\), might represent a smallest \Delta T, though they do not provide justification for this claim.
  • Another participant references a Wikipedia entry stating that the Planck time is the "quantum of time" and argues that anything shorter than this duration does not allow for meaningful events to occur.
  • A different viewpoint challenges the validity of the Wikipedia claim, labeling it as speculation without a solid foundation.
  • One participant asserts that there is no evidence supporting the quantization of time, suggesting that, based on current understanding, there is no smallest \Delta T.
  • There is a reiteration of skepticism regarding the Wikipedia description of Planck time, with a call for corrections to the article based on differing opinions about invariant scaling in nature.

Areas of Agreement / Disagreement

Participants express differing views on the existence and implications of a smallest \Delta T, with no consensus reached on the matter. Some support the idea of Planck Time as a limit, while others dispute its significance and the notion of quantized time.

Contextual Notes

Limitations include the reliance on speculative interpretations of Planck time and the lack of empirical evidence for the quantization of time. The discussion also reflects varying interpretations of sources like Wikipedia, which some participants find unreliable.

Mattara
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This question could have been posted in qm or gsr but since it is so versitile i'll post it here.

Is there a smallest [tex]\Delta T[/tex]?

ex.

year => minutes => seconds => atto seconds etc.
 
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some might have speculated that the Planck Time

[tex]t_P = \sqrt{\frac{\hbar G}{c^5}} \approx 5 \times 10^{-44} \mbox{s}[/tex]

or somewhere in the ballpark, but don't ask me to justify it.
 
from http://en.wikipedia.org/wiki/Planck_time :

/../The Planck time /.../is the "quantum of time", the smallest measurement of time that has any meaning/../

/.../we can neither measure nor discern any difference between the universe at the time it first came into existence and the universe anything less than 1 Planck time later./.../

So there isn't a smallest [tex]\Delta T[/tex] only a smallest period of time during which something might actually happen i.e. everything below Planck time is to small for anything to happen (complete a cycle from being unfinished to being finished)?
 
Last edited:
Wikipedia is worth what you pay for it.
"This is the "quantum of time", the smallest measurement of time that has any meaning." is just speculation with no foundation.
 
So then what is Planck time and is there a smallest [tex]\Delta T[/tex]?
 
There is no evidence as far as I'm aware, that time is quantised, thus from our current understanding, there is no smallest dt.

Claude.
 
Meir Achuz said:
Wikipedia is worth what you pay for it.
"This is the "quantum of time", the smallest measurement of time that has any meaning." is just speculation with no foundation.

yeah, that should be fixed. the Planck Units article doesn't have that speculation in it, but others have disagreed with the section on invariant scaling of nature.
 

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