Very well put. Besides, we're probably all aware of just how tough it actually is to _do_ these things (I'm just referring to _very_ public-speaking...never mind the actual mathematics itself)? I can just picture it: a quite brilliant person, so always in reasonably high demand, puts together a slide pres on a complex topic that he happens to know very well, so kinda...not so much _rushes_ it, but...confidently pushes the limits whilst dealing with _'concurrent distractions'_ , shall we say?? And...*boom*...it bites you. But, for the reasons you gave, it IS ok. My two penneth, FWIW.
Very Concise, to bad about the mistake in the octonions talk it just confused things more. I'm sure the Grad student that created the slides got a good talking to. (even though he took responsibility for the errors )
Professor Kauffman's lecture is generative and I appreciate it.💓\^^/ ① The Lorentz transformation associated with movement within a quantum or space is composed of a Pauli spin matrix, which is the same as the movement of the robot arm Reidemeister 1. ②The octonion of John Thomas Graves with a direction is the movement of Reidemeister 1, 2 and 3 by Joyce's quandle, which is the same as the movement of a robot manipulator to knit without getting tangled with the thread and cutting it. It understands the movement of knitting sticks and can respond to the movement of spinning a hanging ball.
Time is a compact dimension one single Planck second in size. Through Kuramoto synchrony all points share a common present. This creates a hyperplane of the present and we exist in one side and antimatter is on the other. An inflow here is an outflow from there. Clockwise here is counterclockwise there. This is nested quaternions. Inversions of each other. The vacuum energy is a layer of photons propagating 90deg to is. Creating isospin. Our manifold... Surface (cos(u/2)cos(v/2),cos(u/2)sin(v/2),sin(u)/2) 0>u>4π 0>v>2π A minimal single sided closed surface. Notice that 2 full rotations, 4π, are needed to complete the surface. Electron half spin and baryon asymmetry are artifacts of this topology
The only thing to really know about the octonions is that their multiplication involving 'L' is generally non-associative. For example, i(jL) =/= (ij)L. jL is a new square root of -1 while ij = k from the quaternions, so i(jL) =/= kL, with kL being yet another square root of -1. However, (ij)kL = i(jk)L because 'L' is not included in parentheses on either side. It simplifies to kkL =... um... jk=jij=-jji=--i=i... i(i)L -> -L = -L. Yeah .
Yes, "phenomenal 0-1-2-3 time" projected along number-line axies, in 0-1 sequence timing number rotations, in which the actual rotation is based on "i" reflection quantisation, singularity positioning, ie temporal vectoring coordination. (As demonstrated, there's no easy way to describe "everything happening at once" manifestation of relative time timing duration structures) This shows something of loop-quantisation entanglement harmonic placement of dimensional sequences zero-infinity interval range of 0-1 probability basis for mathematical geometry.
