Weyl spinors as ideals of the complex quaternions (Video 6/14).

Video 6 of 14

Series: Division algebras and the standard model

Some short videos filmed by Vincent Lavigne

Seminar by C. Furey,
Walter Grant Scott Research Fellow in Physics
Trinity Hall, University of Cambridge

[anthonydagostino]

Directly to the right of "Minimal Left Ideals, " one sees a collection of letters/symbols that appears to spell her name: COHL.

[blainemaynor]

I have no idea what you are saying but I'm still fascinated. It must exhilarating to be closer to the answers than almost all of us. I hope you find ALL the answers and someday my daughter has you as a PhD advisor!

[AMADEOSAM]

Very very good crystal clear explanation. Hope to see more from you …

[realsolace]

This is so great, I hope to be this fluent in advanced mathematics one day

[nativesun]

Brilliant. Above my current level but...I love it!

[georgetait]

I’m currently a year 13 hoping to take physics at uni... will revisit this playlist when I’ve finished the degree, hopefully I’ll understand past video 3

[conradsenior]

Without this math, I could never have gotten my king sized mattress up a narrow staircase.

[OnlyPenguian]

Coming from a mathematical background, I don't understand some of these analogies to physics. What is the relationship to Fock space here?

[TheWyrdSmythe]

The way this math connects with physics is what fascinates me most, but it’s sadly the place where it starts to get way over my head. The parts I do get are quite interesting, though.

[neurophilosophers]

I wish the quality on these were consistently clear :/ it seems to me that people are seriously underestimating the value of Φ (that’s the closest I can get to it the Octonionic symbol) people see SO3 SO2 U1 and just think yes it’s all solved ? We just need to combine them in certain ways and look for particles when there’s a clear limit to division algebras which can help us take the theories to their true limit? Seems near sighted or maybe it’s just too difficult and that’s why they make the excuse that it’s a waste of time?

[mikecane]

I'd like to see someone illustrate what you visualize in your mind while doing this, via CGI.

[sreeharie]

Is these videos cut pieces of a larger lecture series.

[davidrosner]

Anybody know a good place to learn abstract algebra?

[山山-yq]

e^π
+ie^πi
+je^πj
+ke^πk
+le^πl
=MC ^2

e^πi-1=0
jkl=0
Quarternion
Octonion

Principle of the constancy of the speed of light
Law of conservation of energy
Law of conservation of momentum
ζ(s), η(s), Γ(s)
The infinite sum of natural numbers is
∞, -1/12
Differential calculus, integral calculus

[TheYodaman]

I still can’t multiply fractions together...

[eustab.anas-mann]

When you didn't study for you math exam

[GozerTheGozerian]

Ridiculous! We're to believe that 8-sided onions are the key to unlocking the relationship between quantum physics and methematics? Who uses onions when they cook meth? This is absurd!

[rockhead]

My mathematic work is rusty, but as I watch your videos (over and again) I am struck by the expression of the FOUR ELEMENTS by so many ancient cultures (some had five but as I review those it seemed to me they were ascribing absence of state) Empedocles: Fire, Earth, Water & Air. Babylonian Enuma Elish: Sea, Earth, Sky, Wind ... Aristotle added his nickel (bad pun) 5th element 'ether' as did the Tibetan Monks. However, "the Buddha's teaching regarding the four elements is to be understood as the base of all observation of real sensations rather than as a philosophy. The four properties are cohesion (water), solidity or inertia (earth), expansion or vibration (air) and heat or energy content (fire). He promulgated a categorization of mind and matter as composed of eight types of "kalapas" of which the four elements are primary and a secondary group of four are color, smell, taste, and nutriment which are derivative from the four primaries" (* Lusthaus, Dan. "What is and isn't Yogācāra") What fascinates me is the 'EIGHT' types. I could wax on but shall leave it here for your contemplation.

Oh, and one final thought. Do you see any expression of Octonions in DNA?

[GozerTheGozerian]

Notice how all the comments are "I don't understand this, but it's so awesome!" You don't understand it because it's gibberish, and people want this hipster to be a math genius so badly that they allow her to spew nonsense for years and regale people with stories about how she supposedly does MMA in her spare time. This is a classic example of why women should not be permitted to sully serious endeavors. By the time this hipster has sucked all the oxygen out of the room, there's nothing left for her male colleagues to do the real work.

[nossingo]

Dammit. Why didn't I take math seriously?