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pro vyhledávání: '"WILSON, ROBERT"'
Autor:
Wilson, Robert A.
There are many ways to embed the Lie groups of the Standard Model of Particle Physics in a Lie group of type $E_8$, but so far there is no convincing demonstration that the finite symmetries (and asymmetries) of weak hypercharge, three generations of
Externí odkaz:
http://arxiv.org/abs/2407.18279
Autor:
Grimes, Paul K., Keating, Garrett K., Blundell, Raymond, Christensen, Robert D., Gurwell, Mark, Kovacs, Attila, Norton, Timothy, Paine, Scott N., Rao, Ramprasad, Tong, Edward C. -Y., Weintroub, Jonathan, Wilner, David, Wilson, Robert W., Zeng, Lingzhen, Zhang, Qizhou
The Submillimeter Array (SMA) is an array of 8 antennas operating at millimeter and submillimeter wavelengths on Maunakea, Hawaii, operated by the Smithsonian Astrophysical Observatory and Academia Sinica Institute of Astronomy and Astrophysics, Taiw
Externí odkaz:
http://arxiv.org/abs/2406.17192
Autor:
Wilson, Robert A.
I investigate the structure of $E_8$ under the action of the subalgebra/subgroup $A_1+G_2+C_3$, as a potential route to unification of the fundamental forces of nature into a single algebraic structure. The particular real form $E_{8(-24)}$ supports
Externí odkaz:
http://arxiv.org/abs/2404.18938
Autor:
Wilson, Robert A.
I show how the isomorphism between the Lie groups of types $B_2$ and $C_2$ leads to a faithful action of the Clifford algebra $\mathcal C\ell(3,2)$ on the phase space of 2-dimensional dynamics, and hence to a mapping from Dirac spinors modulo scalars
Externí odkaz:
http://arxiv.org/abs/2404.04278
Publikováno v:
Computational Psychiatry, Vol 4, Pp 18-39 (2020)
Schizophrenia is associated with a number of deficits in decision-making, but the scope, nature, and cause of these deficits are not completely understood. Here we focus on a particular type of decision, known as the explore/ exploit dilemma, in whic
Externí odkaz:
https://doaj.org/article/b5883ba8d67b4f4fa44d3a083f619c0c
Autor:
Wilson, Robert A.
I propose a discrete model for the Gell-Mann matrices, which allows them to participate in discrete symmetries of three generations of four types of elementary fermions, in addition to their usual role in describing a continuous group $SU(3)$ of colo
Externí odkaz:
http://arxiv.org/abs/2401.13000
Publikováno v:
J. Math. Phys. 65, 031703 (2024)
We decompose the Lie algebra $\mathfrak{e}_{8(-24)}$ into representations of $\mathfrak{e}_{7(-25)}\oplus\mathfrak{sl}(2,\mathbb{R})$ using our recent description of $\mathfrak{e}_8$ in terms of (generalized) $3\times3$ matrices over pairs of divisio
Externí odkaz:
http://arxiv.org/abs/2401.10534
Autor:
Wilson, Robert A.
We describe computer calculations that were used in 2016 to classify subgroups of the Monster isomorphic to $PSL_2(8)$, containing $7B$-elements. It turns out that there is no such $PSL_2(8)$ in the Monster. These calculations confirm earlier unpubli
Externí odkaz:
http://arxiv.org/abs/2312.17252