Existence of Space: Does it Exist at Planck Level?

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Research suggests that at the Planck level, both time and space may not exist as independent entities, leading to the idea that they could be emergent phenomena. The discussion highlights that current mathematical frameworks struggle to define time and distance at this fundamental level. Speculation exists around the nature of space-time, with some arguing that if time is emergent, space likely is too. The conversation emphasizes the need for further exploration and understanding of these concepts in physics. The existence of space at the Planck level remains an open question in theoretical physics.
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Hi. I think there has been research about the idea that time may not exist on the very fundamental level of reality. Does anyone know if space exists at that same level? I have read somewhere that at the Planck level, which is the smallest level physicists have gone to, time and distance drop out of the mathematical equations.
 
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Anya said:
I have read somewhere...
Read where? We can't explain what you've read if we don't know what it is.
 
Anya said:
Does anyone know if space exists at that same level?

Its possible - but its highly speculative.

Since we know space and time don't exist independently and we really have space-time if time is emergent its a pretty safe bet space is as well.

Thanks
Bill
 
Time reversal invariant Hamiltonians must satisfy ##[H,\Theta]=0## where ##\Theta## is time reversal operator. However, in some texts (for example see Many-body Quantum Theory in Condensed Matter Physics an introduction, HENRIK BRUUS and KARSTEN FLENSBERG, Corrected version: 14 January 2016, section 7.1.4) the time reversal invariant condition is introduced as ##H=H^*##. How these two conditions are identical?

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