Poincare Invariance from General QFT

Click For Summary

Discussion Overview

The discussion revolves around the derivation of Poincare invariance from general quantum field theory, particularly in the context of low energy excitations. Participants explore theoretical frameworks, mathematical formulations, and implications for particle physics, including the role of symmetries and the geometry of algebras.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • Some participants discuss a paper by Froggatt and Nielsen that attempts to derive Poincare invariance without assuming these symmetries initially, suggesting that translational invariance may arise from interpreting certain background parameters as gravitational fields.
  • One participant expresses excitement about the implications of the paper for their own non-Lorentz invariant model, which they believe could lead to new insights into lepton masses.
  • Another participant raises the interconnectedness of physical laws, questioning how electron spin can be explained if relativity is not correct, and discusses the role of Clifford algebras in this context.
  • A detailed mathematical approach is presented, involving the construction of wave equations using a Euclidean Clifford algebra and the introduction of additional degrees of freedom to distinguish between position and momentum.
  • Participants explore the implications of modifying the presentation of algebras and the mathematical treatment of elementary particles as primitive idempotents.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus, as multiple competing views and models are presented, particularly regarding the implications of non-Lorentz invariant theories and the foundational aspects of quantum field theory.

Contextual Notes

The discussion includes complex mathematical formulations and assumptions that may not be universally accepted, such as the treatment of time as a parameter and the introduction of non-standard basis vectors in algebraic structures.

  • #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:
Physics news on Phys.org
  • #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]
 

Similar threads

  • · Replies 13 ·
Replies
13
Views
4K
  • · Replies 15 ·
Replies
15
Views
4K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 7 ·
Replies
7
Views
3K
  • · Replies 6 ·
Replies
6
Views
3K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 26 ·
Replies
26
Views
6K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 6 ·
Replies
6
Views
3K
  • · Replies 71 ·
3
Replies
71
Views
7K