How correct is this paragraph about vacuum zero point energy.

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Discussion Overview

The discussion revolves around the concept of vacuum zero point energy, specifically examining the contributions from bosonic and fermionic fields. Participants explore the implications of these contributions and seek clarification on the underlying principles, referencing a textbook in quantum optics and quantum electrodynamics.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • Some participants propose that the zero point energy contribution from boson fields is positive, while the contribution from fermionic fields tends to cancel the bosonic contribution.
  • One participant suggests that this cancellation is related to the anti-commutation of fermionic fields, which introduces an additional negative sign in equations involving fermions.
  • Another participant notes a potential connection between the masses of bosons and fermions, suggesting that the sum of the squares of their masses might have an explanation.
  • There is a mention of supersymmetry as a condition under which the mass coincidence could hold.

Areas of Agreement / Disagreement

Participants express varying levels of understanding and agreement regarding the contributions of bosonic and fermionic fields, with some affirming the initial claims while others seek further clarification. The discussion remains unresolved on the broader implications of these contributions and their relation to mass coincidences.

Contextual Notes

Participants reference a specific textbook and discuss its appropriateness for the topic, indicating a potential limitation in the scope of the discussion. There are also unresolved questions about the implications of mass relationships and the role of supersymmetry.

Who May Find This Useful

This discussion may be of interest to those studying quantum mechanics, quantum optics, and theoretical physics, particularly in relation to zero point energy and field theory.

Spinnor
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Doing some searching about the zero point energy of the vacuum I came up with an excerpt from Google books,

Page 62 of

http://books.google.com/books?id=ZP...um zero point energy density estimate&f=false

I think the paragraph stated that the zero point energy contribution from boson fields was positive while the contribution from the fermionic fields tended to cancel the bosonic contribution. Is that correct, and if so is there a hand wavey way of explaining that? I naively thought that the zero point fluctuations of all the different fields was positive.

Thanks for any help!
 
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Thanks for the post! Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post?
 
Hi Spinnor, hi Greg!
Spinnor has a question relating to a fairly basic textbook in quantum optics and quantum electrodynamics.
Cavity Quantum Electrodynamics: The Strange Theory of Light in a Box
By Sergio M. Dutra

I think it would be a good question to ask in the Quantum Mechanics forum.
The textbook was published 2005 by Wiley, it looks like advanced undergraduate material, with lots of problems.
It talks about LASERS and how they work.

This is not Beyond the Standard Model fodder. IMHO. I could be wrong but I'd ask a mentor to move it to QM forum.

Or did you already try asking in QM and not get an answer? Is there something I'm missing about your question
that makes it inappropriate for QM and appropriate for BtSM?

If you want to move it, you can press the "report" button at the lower left corner of your post and just say "mentor please move to QM" and they will be very willing to help, I think. Or if you are hesitant about doing that, just tell us what you want done and I'll get their attention. It's easy, they're nice.
 
Spinnor said:
I think the paragraph stated that the zero point energy contribution from boson fields was positive while the contribution from the fermionic fields tended to cancel the bosonic contribution. Is that correct, and if so is there a hand wavey way of explaining that?
That is correct, and is related to the fact that fermionic fields anti-commute rather than commute, which brings in an additional negative sign in many equations involving fermions.
 
Demystifier said:
That is correct, and is related to the fact that fermionic fields anti-commute rather than commute, which brings in an additional negative sign in many equations involving fermions.

Thank you for your help!
 
Hmm, the "mysterious" coincidence that sum of squares of all bosons' masses seems to be equal to sum of squares of all fermions' masses now has an explanation, doesn't it?
 
nikkkom said:
Hmm, the "mysterious" coincidence that sum of squares of all bosons' masses seems to be equal to sum of squares of all fermions' masses now has an explanation, doesn't it?

It might but I wouldn't know it, where might I start to learn more?
 
nikkkom said:
Hmm, the "mysterious" coincidence that sum of squares of all bosons' masses seems to be equal to sum of squares of all fermions' masses now has an explanation, doesn't it?
Only if the universe is supersymmetric...
 

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