1 citations · 1 across the 5 of their papers we have counts for
5 papers
Rational Angle Sets and Tight t-Designs
Benjamin Nasmith
Given a finite subset of a sphere or projective space, known as a design, we can compute the strength and angle set of that design. When the strength and angle set meet certain bou…
Octonion Integers and Tight 5-Designs
Benjamin Nasmith
The two strictly projective tight 5-designs are the lines spanned by the short vectors of the Leech lattice and a set of points in the octonion projective plane that define a gener…
An Exceptional Combinatorial Sequence and Standard Model Particles
Benjamin Nasmith
Three-graded root systems can be arranged into nested sequences. One exceptional sequence provides a natural means to recover some structures and symmetries familiar in the context…
Octonions and the two strictly projective tight 5-designs
Benjamin Nasmith
In addition to the vertices of the regular hexagon and icosahedron, there are precisely two strictly projective tight 5-designs: one constructed from the short vectors of the Leech…
Classical Electrodynamics and Absolute Simultaneity
Benjamin Nasmith
Maxwell's equations and the Lorentz force density are expressed using an alternative simultaneity gauge. As a result, they describe electrodynamics for an observer travelling with…