Group: sci.physics.electromag
From: "Juan R."
Date: Tuesday, August 07, 2007 7:03 AM
Subject: Relativistic Lagrangian and limitations of field theory (1st part)


In the current micro-thought,

/

I present some relativistic Lagrangians and discuss several
limitations of the field-theoretic approach.

This is motivated by the generalized belief on field theory as being
'fundamental' or 'complete' for modelling interactions.

First, I introduce some popular choices for field relativistic
Lagrangians.

Next, I list several fundamental limitations of the field theoretic
approach related to the relativistic equations of motion. This shows
the field theoretic formulation is not fundamental.

Those limitations are often unknown and still some authors try to get
some kind of "unified field theory" or believe that general relativity
(a metric formulation) is our last word about macroscopic gravity.

Authors who considered the field-theoretic description to be limited
and worked in alternatives includes celebrated Fokker, Dirac, Wheeler,
or Feynman between others.

S. Weinberg has not provided us an alternative to the field paradigm
but at least he warns his readers in the page 1 of his textbook on
quantum field theory (vol. 1):

{BLOCKQUOTE
If it turned out that some physical system could not be described
by a quantum field theory, it would be a sensation; if it turned out
that the system did not obey the rules of quantum mechanics and
relativity, it would be a cataclysm.

In fact, lately there has been a reaction against looking at
quantum field theory as fundamental.
}

But field theory is not fundamental already at the classical level. We
need alternatives. What one?


This Micro-thought addresses next misunderstandings in
:

"Relativistic theories compatible with special relativity may use
fields"
--Bilge--

"There is not relativistic potential energy"
--Bilge, Karandash2, Eric, Bill--

"L = T - V is not valid for relativistic systems"
--Eric--


Note for readers: due to inability of some 'experts' to learn i will
not reply their further misunderstandings. Almost anyone here knows
who they are.

Note for readers: Because some past episodes of flamming in
, both comments in the blog and my newsgroup e-
mail are disabled.