Feed: Dr. Myron Evans
Posted on: Tuesday, October 30, 2012 12:29 AM
Author: metric345
Subject: Checking Note 231(1).
Many thanks for going through this note. The first point is answered by the associative law of matrix multiplication:
(AB)C = A(BC)
(G. Stephenson, “Mathematical Methods of Science Students”, (Longmans 1968), p. 287, eq. (18)). Will think about the second point and report back.
In a message dated 29/10/2012 19:05:05 GMT Standard Time, writes:
Eq.(16) seems to be problematic because mu in eq.(15) is a dummy index, q sup a sub mu can not be isolated by multiplying with another g sub mu,nu.
In eq.(43) R can only be defined in this way because the tensors Omega and q are linearly dependent. This works in the example of the circular complex basis, I am not sure if this works in cases where the vector spaces or bases significantly differ. Perhaps one has to start with the wave equation ( 46) directly in that case.
Horst
Am 29.10.2012 11:37, schrieb EMyrone
This note gives the foundations of a new type of differential geometry in which the tetrad is defined as a mixed index metric. The whole of Cartan’s differential geometry can be developed in terms of mixed index metric, and classical and quantum equations of ECE unified physics derived. These contain more information because they are equations of a higher topology. This is the first note in this series.

View article…
This entry was posted on Wednesday, October 31st, 2012 at 12:47 am and is filed under Uncategorized. You can follow any responses to this entry through the RSS 2.0 feed.
Both comments and pings are currently closed.