Truth by Rick Lockyer

well did not work, unsure if zip files not possible of just was how I did it.

One more tryAttachment #1: 1_OctonionScripting.zip

Seems to have worked, use second one

Sorry,

Rick

Hmm, 2 one-bombs

Well 4 in 2 votes

Anonymous votes with no comments to back them up is an obvious deficiency of the "community" rating.

Going to be cowards?

Solution to this problem would be for FQXi to publish all votes each participant made, by name.

I think the only "science" exhibited by the community voting system here is social science. The mass down-voting on Sunday on highly rated essays had nothing to do with the quality of these essays, it had everything to do with selfish people trying to elevate their own ranking.

Too bad, it could lead to the ultimate downfall of FQXi providing the opportunity in the future. If they have to pay people to sort out the worthy papers for awards, because the community fails to do so in a fair and unbiased way, it will consume more money than the total award purse.

Regarding my essay, I barely got it in before the deadline, so it was not up long enough to gather a significant number of votes such as to dilute any 2-bombs let alone 2. Those votes were not on the merits of my essay. Took me down 75 places. I was an easy mark.

If people were different than they are, communism would have actually worked.

Clearly I think the division algebras are the most important, and the lack of associativiy for multiplication is nature's way of telling us others will only give methods that will only provide close approaches.

There is plenty to look at just within Octonion Algebra itself, this is priority to me, not sticking Octonions in other structures or using it as a means to another end.

Rick

Just curious if anyone was successful getting Node.js running with my symbolic algebra tool.

Even if you are not computer literate enough or don't care to use the tool, you really should download the files and open my provided text file giving the results you will get if you did run the verification script for my Octonion conservation equations.

The verification script goes through the very same math three times. First it has all 8 Octonion potentials functionally dependent on all 8 Octonion differentiating variables. This is the full complete cover. Next pass the potential functions are limited to those for just the Electrodynamics cover, and you will see exactly what the 4D tensor approach yields but in an Octonion framework. The last pass is restricting the potential functions to those for Gravitation. You will of course see both the Electrodynamics and Gravitation product terms in the full functional dependency first pass. The other terms in the first pass are the glue that holds things together.

This is not non-associative physics, yet it requires non-associative Octonion Algebra.

Rick

I made some editorial and brain fade fixes to the PDF file describing my Octonion symbolic algebra tool. I neglected to document the seven Quaternion subalgebra non-scalar triplet sets used. All class/method definitions are the same but the documentation of their use has some editorial improvements.

If you already have downloaded this, download again and move over just the PDF to your current OctonionScripting folder.

Seriously folks, if you have ANY interest in Octonion Algebra, it will be worth your time.

Also since I provided my script verification of my Octonion conservation equations, this will make more sense having the textual documention backing up the math. The chapter from my in-progress book is included for you to download.

RickAttachment #1: chapter_10.pdfAttachment #2: 2_OctonionScripting.zip

I had a discussion on sedenions with Geoffrey Dixon related to our differing mechanisms for enumerating the seven Quaternion subalgebra non-scalar basis element triplet sets for Octonion Algebra. He also is not big on Cayley-Dickson doubling typically used to generate the path from reals through sedenion algebra. The attached document shows a different way that easily delineates the Octonion subalgebra candidates, which cannot be all made legitimate Octonion subalgebras due to the fact that each of 35 Quaternion triplets must be singularly defined and each appears in three Octonion candidates, causing some to not follow the Right-Left orientation required to be a normed division algebra.

This discussion inspired me to revisit the algebraic proof the sedenions are not a division algebra documented in my in-progress book as an appendix. It had a bit too much hand-waving.

Download this and take a look, the exclusive-or method works out quite well for Quaternion, Octonion and sedenion Algebras. Pretty much makes an algebraic proof sedenions are not a division algebra possible. To the best of my knowledge nobody else has provided an algebraic proof. Correct me if wrong about this.

RickAttachment #1: appendix_b.pdf