I would like to suggest perusing the literature of Dr. David Hestenes et al. regarding Geometric Algebra and Geometric Calculus. It soumds like you want to talk about the D' Alembertian and possibly Dirac's derivation of his equations as the inverse of 'squaring'. In what way would you interpret...
Buckminster Fuller questioned the orthogonal assumptions of multidimensional drawing and suggested instead, using 60 degree base vectors for x,y,z on one plane, with the fourth dimension as the altitude of a tetrahedron. He also preferred to refer to the second power of a number as 'triangling'...
The question of whether or not a paper is legitimate science is not something that one should be asking others. Let tbe person who asked this question write down explicitly what they consider to be relevant criteria. Perhaps others could add their own set of criteria.
It is also possible...
Sometimes in order to move forward beyond something like The Standard Model, one has to backtrack and pick up a different idea thread such as Weyl's gravity ideas and gauge theory or the ideas of Kaluza and Klein.
One should remember that the idea of photons being absorbed or emitted by...
The nature of an electron has been a mystery since it's discovery. It is associated with EM radiation in atoms and in the creation of an electron and a positron by a gamma ray as it passes a heavy nucleus. So why not use gestalt type ideas and instead of creating light from electfons, create...
I am familiar with Dr. Sach's papers, publications and books. He has a good website online. He does seem to recycle his papers a bit too much but then people do keep reinventing the wheel. He uses quaternions/spinors as a mathematical formalism that is applicable in both quantum mechanics and...
I know that Dr. Pertti Lounesto (http://users.tkk.fi/~ppuska/mirror/Lounesto/) has expressed some disagreement with Dr. Hestenes regarding Geometric Algebra and Geometric Calculus, but one can't walk three roads at the same time and Dr. Hestenes has done a good job of designing a mathematical...
You are not alone. See THE VECTOR CALCULUS GAP: Mathematics not= Physics
by Tevian Dray and Corinne A. Manogue (24 September 1998)
(http://www.math.oregonstate.edu/bridge/papers/calculus.pdf)
BRIDGING THE VECTOR (CALCULUS) GAP by TEVIAN DRAY and CORINNE A. MANOGUE...
James Clerk Maxwell originally used quaternions in his work on Electromagnetism but there was a dispute/difference of opinion regarding their use that led him to use vectors later on. As Dr. David Hestenes points out in his many writings on Geometric Algebra and Geometric Calculus, quaternions...
Several times I've listened to Brian Greene talk about string theory and say that General Relativity is a macroscopic theory but Quantum Mechanics is a microscopic theory. Do you think it could be otherwise?
I know that this is an accepted "dogma" that is often repeated by others but I...
For a list of the incompatibilities between the General Theory of Relativity and Quantum Mechanics see Dr. Mendel Sach's website http://www.compukol.com/mendel/ or his book "Einstein vs. Bohr".
List on website:
A) Principle of complementarity, implying 'pluralism', versus principle of...
It would certainly be a good idea to compile a list. I found as a result of visiting other libraries and Universities that there was some very good writing available that I would never have known about if I didn't travel and browse the shelves or ask people in other locations about. Living in...
I'm currently reading M.J. Adler's book "HOW TO READ A BOOK" (1940) and it's very good! It's the kind of thing I need and have been looking for. A lot of what Adler said in 1940 is just as true today. People, including myself don't know how to read a book let alone how to discuss it. This...