by **Joy Christian** » Tue Dec 31, 2019 6:28 pm

***

Happy New Year to everyone!

I have revised my pedagogical paper once again:

https://arxiv.org/abs/1911.11578. The last couple of lines of the following paragraph, including Eq. (40), are new in this version:

Nota bene: If a null vector is like the teeth of the Cheshire Cat, then a null bivector is like the grin of the Cheshire Cat, with the Cat itself being the vector or the bivector, respectively.

But seriously, just as a null vector is a vector that has no length (or has vanishing magnitude) and no direction, a null bivector is a bivector that spans no area (or spans zero area) and has no direction. Moreover, in Geometric Algebra there is only one notion of zero for elements of all grades. In other words, there is only one notion of zero for the scalars, vectors, bivectors, trivectors, and multivectors, not separate notions of zero for each grade or a composite of grades.

More importantly, I claim that my

pedagogical paper provides the best explanation to date of the observed strong correlations in strictly local, realistic, and deterministic terms.

***

***

Happy New Year to everyone!

I have revised my pedagogical paper once again: https://arxiv.org/abs/1911.11578. The last couple of lines of the following paragraph, including Eq. (40), are new in this version:

[img]http://einstein-physics.org/wp-content/uploads/2019/12/RevisedBit-e1577801080298.png[/img]

Nota bene: If a null vector is like the teeth of the Cheshire Cat, then a null bivector is like the grin of the Cheshire Cat, with the Cat itself being the vector or the bivector, respectively. :)

[img]http://einstein-physics.org/wp-content/uploads/2019/12/CheshireCat.png[/img]

But seriously, just as a null vector is a vector that has no length (or has vanishing magnitude) and no direction, a null bivector is a bivector that spans no area (or spans zero area) and has no direction. Moreover, in Geometric Algebra there is only one notion of zero for elements of all grades. In other words, there is only one notion of zero for the scalars, vectors, bivectors, trivectors, and multivectors, not separate notions of zero for each grade or a composite of grades.

More importantly, I claim that my [url=https://arxiv.org/abs/1911.11578]pedagogical paper[/url] provides the best explanation to date of the observed strong correlations in strictly local, realistic, and deterministic terms. :D

***