What is the smallest Quantum of Energy?

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Discussion Overview

The discussion revolves around the concept of the smallest quantum of energy, exploring ideas related to the smallest wave packets, the frequency of photons, and the implications of quantum mechanics on these notions. Participants consider theoretical limits and the nature of photons in relation to space and time.

Discussion Character

  • Exploratory
  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • One participant muses about the smallest bits of spacetime and suggests that the smallest quantum of energy could be represented by a 'smallest' wave packet, questioning if a 1 Hz photon could be considered the smallest photon.
  • Another participant notes that there is no established limit preventing a photon from having a frequency lower than 1 Hz, emphasizing that quantum mechanics allows for continuous variables despite quantized energy levels.
  • A different viewpoint suggests that the lowest possible frequency of a photon is linked to the longest possible wavelength, which could theoretically be the diameter of the universe.
  • One participant challenges this idea, arguing that while a photon travels at the speed of light, its oscillations could be so slow that it might not complete a full electromagnetic cycle across vast distances, such as the universe.
  • Another participant introduces the concept of the largest packet of energy, questioning if it could be represented by a photon with a wavelength equal to the Planck Length.
  • A later reply references a source suggesting that photons probing the Planck length may collapse into black holes, implying a fundamental limit on the characteristics of photons.

Areas of Agreement / Disagreement

Participants express various viewpoints on the nature of the smallest quantum of energy and the characteristics of photons, indicating that multiple competing views remain and the discussion is unresolved.

Contextual Notes

Participants discuss the implications of frequency and wavelength in relation to the universe's dimensions and the nature of photons, but the assumptions and definitions underlying these discussions are not fully resolved.

wawenspop
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I am wondering about the smallest bits of space time possible
and my musings lead me to the smallest quantum of energy.
Then I have a mental picture of the 'smallest' wave packet
possible as the building block of everything else.

For example, is the 'smallest' photon possible a
1 Hz photon? - (near absolute zero K?)
- then E = h*1 etc? Then I can start applying
Schrödinger and/or matrix math to find out more?

Or am I on the wrong track here?
 
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I'm not aware of anything that says a photon cannot have a lower frequency than 1 Hz.

In QM, everything comes in chunks, but the variables defining those chunks (position, energy, momentum) are all still continuous.
 
The lowest possible frequency would be determined by the longest possible wavelength. This could be the diameter of the universe.
 
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Could be but must it? The photon is always traveling at the speed of light, so a photon that starts at one edge of the universe would take 24 billion years or so to reach the other edge, at which point the universe will have expanded even more.

Moreover, the frequency is just the rate at which the EM fields mutually induce. The photon still only exists at one point in space at a time, and that point moves at c, so there's no reason that the oscillations couldn't be so slow that the photon doesn't even reach a full EM cycle from one end of the universe to another.

Now a different question is what is the largest packet of energy? Would it be a photon whose wavelength is the Planck Length?
 
According to wiki any photon that can probe the Planck length is likely to collapse into a black hole so I guess that places a fundamental limit on photons.
 

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