Understanding the Planck Scale

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SUMMARY

The Planck scale is defined by the Planck length and Planck time, which serve as the fundamental units of space and time in quantum mechanics. It represents the intersection of gravity and quantum mechanics, indicating that classical fields can be quantized without reference to the Planck scale. Understanding this scale is crucial for grasping the complexities of quantum field interactions. The discussion emphasizes the importance of recognizing the foundational role of the Planck scale in theoretical physics.

PREREQUISITES
  • Understanding of quantum mechanics principles
  • Familiarity with classical field theory
  • Knowledge of gravitational theories
  • Basic comprehension of fundamental physical constants
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  • Research the implications of the Planck length in quantum gravity
  • Study the relationship between gravity and quantum mechanics
  • Explore the concept of quantization in classical fields
  • Examine advanced topics in quantum field theory
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Physicists, students of theoretical physics, and anyone interested in the foundational aspects of quantum mechanics and gravity will benefit from this discussion.

Isaac0427
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Hi,
So I am a little confused on the Planck scale. Correct me if I'm wrong (I hope this doesn't sound idiotic) but I believe that any field on a classical scale should be able to be quantized and work on a quantum scale/Planck scale, where the Planck length and the Planck time are the fundamental units of space/time that interactions in the quantum field can be observed. Is this correct? I know it's more complicated, but do I have the basics of it down?
Thanks in advance!
 
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Just one point, the Planck scale comes from mixing gravity with quantum mechanics. Classical fields are quantized without regard to such a scale.

About the Planck length, a good read is http://math.ucr.edu/home/baez/planck/node2.html
 

Thread 'Two equivalent statements of time reversal symmetric Hamiltonian'

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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