Poincare Invariance from General QFT

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SUMMARY

The discussion centers on the derivation of Poincare invariance from a general quantum field theory (QFT) as presented in the paper by C.D. Froggatt and H.B. Nielsen, published in Annalen der Physik. The authors do not assume Poincare invariance initially but derive it under low energy excitations, ultimately leading to quantum electrodynamics in 3 + 1 dimensions. The conversation also touches on the implications of random dynamics proposed by Holger Bech Nielsen, suggesting that fundamental laws may emerge from randomness rather than fixed principles. Additionally, participants discuss the challenges of integrating non-Lorentz invariant theories and the connections between electron spin, Clifford algebras, and the geometry of spinors.

PREREQUISITES
  • Understanding of quantum field theory (QFT)
  • Familiarity with Poincare invariance and its significance in physics
  • Knowledge of Clifford algebras and their role in particle physics
  • Basic concepts of quantum electrodynamics (QED)
NEXT STEPS
  • Study the derivation of Poincare invariance in quantum field theories
  • Explore Holger Bech Nielsen's theories on random dynamics and their implications
  • Investigate the relationship between Clifford algebras and spinor geometry
  • Examine the mathematical foundations of quantum electrodynamics (QED)
USEFUL FOR

The discussion is beneficial for theoretical physicists, quantum field theorists, and researchers interested in the foundations of particle physics and the implications of non-standard theories in modern physics.

  • #31
Physics, ME (fluid dynamics) and attractors

Philip Marcus [UC-Berkeley] is one of the few discussing dissipators as well as attractors.

Researcher predicts global climate change on Jupiter as giant planet's spots disappear [see merger video]
http://www.berkeley.edu/news/media/releases/2004/04/21_jupiter.shtml

or

'Chaos' James Gleick [1987 version]
[last page of color inserts, text preceding page; between p 114-115]

and

Jupiter's Great Red Spot - Temperature Structure of Vortex
http://www.gfdl.noaa.gov/products/vis/gallery/index.html

I wonder if Red Jr is related to Shoemaker-Levy-9 collision with Jupiter?
 
Last edited by a moderator:
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  • #32
I've discovered the secret of time travel.

Kea,

I've discovered the secret to time travel, at least one way. You sit down and start writing a book. Days just disappear.

But I've finished the 2nd chapter, even sent the thing through a spell checker:
http://www.brannenworks.com/dmaa.pdf

The planned topic of chapter 3 is "Measurement". Chapter 4 is supposed to be "Potential Energy", but seeing that far into the future is tough. Maybe it would be better to make chapter 4 cover the elementary fermions. Otherwise I would put them into the applications part of chapter 3.

At this time I'm ceasing working on book and preparing lecture for the meeting in Hawaii. They're giving me 25 minutes and I don't want to embarrass self by insufficient preparation.

Liquafaction Corporation has kindly allowed me 3 weeks leave with pay to get ready for, and attend, the conference. Thank you, Mark Mollo. Which reminds me, I need to type up an acknowledgments section. And I need some sort of subsection break mark, to indicate when a multiparagarph argument has completed. And I need to type up some sort of exercises for the student at the end of each chapter. And I don't think I have enough marginal notes in the last half of chapter 2. And I haven't proof read the index (which is easily the most boring thing one can imagine doing with ones brief time on earth). And etc., etc., etc.

Carl
 
  • #33
CarlB said:
I've discovered the secret to time travel, at least one way. You sit down and start writing a book.

I must try it sometime. But please keep going! :smile:

At this time I'm ... preparing lecture for the meeting in Hawaii.

Great! Please report back on all the gossip. We just love conference blogging.

Good luck. :smile:
 
  • #34
I am naive!

The Reimann Sphere accomplishes what I was trying to say in my post of 10-11-2006 02:22 PM.

0 at the south pole

oo at the north pole

only reals along the longitude when a=0 for ai

complex along the longitude when a not= o for ai

equator = 1

45 degrees south = 1/2 in interval [0.1]

45 degres north = 2 in interval [1,oo]

Thus any complex number or vector may [?] be mapped to interval [0,1] gainng an insight into the probability of that number or vector whether in [0,1] or [1,oo]
 

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