This Micro-thought is devoted to basic aspects of dimensional analysis
and measurement and emphasizes certain important aspects generally
unknown or misunderstood.
I also show the link between the concept of energy associated to
relativistic Lagrangians and the concept of energy associated to time-
component of P^a. Correcting the mistake many students make resumed in
Bilge reply
{BLOCKQUOTE
An energy is the time component of a four-vector, not the scalar
product
of two four-vectors. jeeezzzz...
}
Of course the scalar product of two four-vectors V *is* a energy.
Next I present the Dirac Hamiltonian and discuss why the root-
Hamiltonian used in classical relativistic mechanics (appearing in
many relativists textbooks) is not adequate.
Since that already the SR Hamiltonian is *not* adequate for quantum
purposes, one would think twice before quantizing Hamiltonian of GR,
right?
Well, no. Relativists decided to ignore problems with special
relativity (and continue to do) and directly tried to develop a
quantum general relativity based in the WdW equation.
The result? Forty years of problems and difficulties and hundred of
papers on relativist journals about that: supposed corrections,
alternative formulations...
Ignore those papers. Almost none particle physicist believe on the
WdW, which is mainly promoted by relativists only. A non-exhaustive
set of criticism to WdW and loop quantum gravity is done on
/abs/hep-th/0501114.
Comments and criticism are welcomed.
==========================================================
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