A conversation between Louis Kauffman and Stephen Wolfram at the Wolfram Summer School 2021

Stephen Wolfram plays the role of Salonnière in this new, on-going series of intellectual explorations with special guests. Watch all of the conversations here: wolfr.am/youtube-sw-conversat...
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[@Klangraum]

It's great that you can watch discussions between people on a live stream, like Einstein and Bohr or others back then. I think that enriches all of us with our view of the world.

[@Achrononmaster]

f-ing A. The only problem is now we have such possibility I could starve listening to Kauffman and get no work done. Too much of a good thing and all that.

[@tarkajedi3331]

2 brilliant men.... A master class !!!!

[@tarkajedi3331]

Another brilliant video! Fascinating!!!

[@KaliFissure]

Omg genius condensed into to formal topology. Thank you Louis!

[@TheMemesofDestruction]

1:55 - It seems things are coming full circle. ^.^

[@charlesalexanderable]

@1:32:11 SRAM (cache) still uses flip flop circuits

[@KaliFissure]

It’s quite amazing how much real world fiber manipulation (cordage) mimics the behavior of plasma. With material of the correct elasticity I think we could model very accurately. A trefoil knot equation models a self tightening electrical path. b=curve((cos(3t)+2)cos(2t),(cos(3t)+2)sin(2t),sin(3t),t,0,2pi) The path is always 90 to surrounding paths. The magnetic field of each moment of path constricting

[@santerisatama5409]

"Non-commutative Grassman algebra... Laws of Form... a) if you concatenate two forms, they can form a a single form, b) if form takes another form as it's argument, they can vanish." We can look at them also this way: With forms < (increases) and > (decreases), a) (both increases and decreases) and b) >< (neither increases nor decreases; cf halting) with del>< and replacements X1 concatenation X2 blank X3 = (if A is neither more nor less than B, then A=B). When we see del>< as the Landauer operation, in Landauer transformation to X1, X2 or X3, the "heat" is not lost but necessary elements for a reversible construction. These Landauer transformations seem also nicely open to interpretation as the skein trinity of knot theory. We get nice mereological number theory that way, among other things. Concatenate mediants, Stern-Brocot style: < > < > < > < > etc. Define from second row < or > as integral countables of the numerator, and as the denominator countable. So the word as acceleration and as inertial mass. Second, < for L and > for R, so that strings can interpreted as ordered sets of path information. Numbers between rationals, aka "irrationals", can also be expressed this way along the binary tree of blanks which divides the palindromic strings into words, with the benefit of repeating representations of square roots. Because of the iterant property

[@KaliFissure]

@wolfram have you done a later evolution deep dive into the difference between two “parallel” time slices? How do flows of density move over a single calculation. Rather than looking at the long temporal path. Looking at the difference between two full complex surfaces of a multi-way.

[@santerisatama5409]

Density of Stern-Brocot rationals per integer interval is pretty nice.

[@KaliFissure]

This is how Riemann paradox matches the sum of all possible geodesics and their paths. Two circles and their interface membrane. Louis would understand how perfecly the inversion of the circle models the universal manifold. Mark within mark = mark. The inside is the outside.

[@KaliFissure]

How do knots show inflow or outflow? Knots are more like orbits.

[@KaliFissure]

Louis would understand how perfecly the inversion of the circle models the universal manifold. Mark within mark = mark. The inside is the outside.

[@KaliFissure]

QCD is because there needs to be 3 axes of spin for stability

[@KaliFissure]

Having to make it more complicated before it gets simplified. That’s rearranging a room. That’s ACTUALLY unknotting a knot, the not a knot kind too. Is that a universal law? Electron is chaotic before dropping to more stable state.

[@Achrononmaster]

@2:04:00 one way, not saying it will work, of "understanding" ANPA, is to think of them as a project trying to find combinatorial (counting) methods for calculating a few of the fundamental constants. That is not, altogether, entirely mad. I try to view them as _not_ doing discrete physics, but topological physics, though they themselves probably do not see it this way. Spacetime really should be viewed as a continua with topological defects, that is after all the _entire_ history of quantum mechanics, from Democritus to Tait/Thompson to Einstein to Wheeler to Gell-Mann through to Strings, LQG and ER=EPR. The idea spacetime _itself_ is discrete is a total diversion and _probably_ a dead end, notwithstanding all the bluster from Arkani-Hamed and the causal set theory folks.

[@KaliFissure]

There will be increased fields where strands are physically forced to close proximity

[@nolan412]

Feynman feelers?

[@Achrononmaster]

@2:02:00 Parker-Rhodes! lol. (Says Wikipedia:) An accomplished linguist who was able to read at least 23 languages, claiming that they became "easier after the first half-dozen." A bit of a madman, but hey, _viva lo racionale irracional._

[@KaliFissure]

Are no braids appearing in the graphs? One would imagine all sorts of self resonant structures with semi permanence. Solutions to perturbations.