Sampling at 1/n Planck Time: Synchronizing Samplers and Analyzing Data Values

In summary, the conversation discusses the synchronization of n samplers in a system to sample at 1/n Planck time. The conversation also touches on the limitations of making assumptions between two adjacent sample points due to the Heisenberg Uncertainty Principle (HUP). It is not possible to synchronize samplers at such a high frequency due to current technological limitations. The conversation also mentions the Nyquist-Shannon sampling theorem in relation to band-limited functions in quantum mechanics.
  • #1
Hippasos
75
0
Can we synchronize n samplers so that the system is being sampled at 1/n Planck time?

What could we tell about the data values between two adjacent samples?
 
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  • #2
Hippasos said:
Can we synchronize n samplers so that the system is being sampled at 1/n Planck time?

What could we tell about the data values between two adjacent samples?

1. Not theoretically possible.

2. Nothing, there are theorems about making assumptions between any 2 sample points. The conclusions are limited by the HUP and attempts to go past that lead to logical contradictions (and results are as predicted by QM). See Hardy's Paradox for example.
 
  • #3
No, because tat would require us to sample 10^44 times/s.
Which is about 33 orders of magnitude faster than the fastest A/D converter we can currently build.
 
  • #4
Is this thread referring to the Nyquist–Shannon sampling theorem of band-limited functions? I believe that most QM wave functions have a limited bandwidth (if they spatially limited then they are usually limited in momentum-space also).
 

Related to Sampling at 1/n Planck Time: Synchronizing Samplers and Analyzing Data Values

1. What is "Sampling at 1/n Planck time"?

"Sampling at 1/n Planck time" refers to the process of taking measurements or observations at intervals of 1/n of the Planck time, which is the smallest unit of time that can be measured according to the laws of quantum mechanics.

2. Why is sampling at 1/n Planck time important?

Sampling at 1/n Planck time allows for more precise and accurate measurements in the study of quantum mechanics and other fields that deal with extremely small units of time. It also helps to better understand the fundamental laws of the universe.

3. How is "Sampling at 1/n Planck time" related to the Planck scale?

The Planck scale is the scale at which quantum effects become significant in the universe. Sampling at 1/n Planck time allows for measurements to be taken at this scale, providing valuable insights into the fundamental workings of the universe.

4. Can "Sampling at 1/n Planck time" be applied in practical experiments?

Currently, sampling at 1/n Planck time is not feasible in practical experiments due to technological limitations. However, it is a concept that is being explored and studied in theoretical and computational models.

5. What are some potential implications of "Sampling at 1/n Planck time" in the field of physics?

Sampling at 1/n Planck time could potentially lead to advancements in our understanding of quantum mechanics, the nature of spacetime, and the origins of the universe. It could also have practical applications in fields such as quantum computing and communication.

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