Parallel transport - Lec 23 - Frederic Schuller

[@jaredroussel]

Frederic, you're a legend in my eyes. I wanted that recorded in history!

[@philipschloesser]

50:00 We interrupt this lecture in differential geometry to provide you with a demonstration of the Picard-Lindelöf theorem.

[@khvanchandara5487]

lecture is best. Unfortunately, cameraman is completely useless.

[@brendawilliams8062]

Thankyou

[@vivalibertasergovivitelibe4111]

The loops only need to be piecewise smooth, right? Otherwise the subgroup property of the holonomy group at around 1:24:00 isn´t obvious to me.

[@englemanart]

Grateful!

[@millerfour2071]

11:28 (interval for \gamma up arrow should be [0,1]), 59:06 (could have done with separation of variables)

[@kapoioBCS]

Does anyone knows if the loops has anything to do with the Wilsonian loop? (they must do, but does anyone knows formally ?)

[@andrea.dibiagio]

The Wilson loop is just another name for the holonomly around a closed curve.

[@uniphyphysics6604]

camera man seems to have lost sleep last night.. i hope he might have finished it during the lecture

[@RossettiAries-s5w]

Miller Jessica Rodriguez Ruth Gonzalez Angela

[@sainte5]

the section in 3700 is global

[@charlesfountain3946]

So many fibers, bundles and isomorphism's its it enough to parallel transport me to outer spaces... Almost the twilight zone as it were in Klingon language... Brilliant orator no less but I need a better foundation in basics to make any real headway at swallowing all the axioms, corollaries, postulates and theorems I may never get home for supper again... I need some bread crumbs if you please...

[@hyperduality2838]

Injective is dual to surjective synthesizes bijective or isomorphism. Vertical is dual to horizontal, sine is dual to cosine or dual sine -- the word co means mutual and implies duality. Parallel transport or isomorphism implies duality, vectors are dual to co-vectors (forms)! "Always two there are" -- Yoda.

[@jeremiahholm4982]

Bro's smoking fiber bundles

[@hyperduality2838]

@@jeremiahholm4982 All numbers fall within the complex plane. Real is dual to imaginary -- complex numbers are dual. All numbers are dual. The integers are self dual as they are their own conjugates. Syntax is dual to semantics -- languages, communication or information (data). If mathematics is a language then it is dual. Categories (form, syntax) are dual to sets (substance, semantics) -- category theory. Analog is dual to digital -- information is dual. Average information (entropy) is dual to mutual or co-information (syntropy). Potential information (entropy) is dual to kinetic or real information (syntropy). Your brain/mind has the goal, target (function) or objective to create reality -- a syntropic process., teleological. Teleological physics (syntropy) is dual to non teleological physics (entropy). Syntropy (prediction) is dual to increasing entropy -- the 4th law of thermodynamics! "The brain is a prediction machine" -- Karl Friston, neuroscientist. Making predictions is a syntropic process, teleological. Yoda is correct, your mind is using syntropy to synthesize reality and this means that there is a 4th law of thermodynamics. I highly recommend smoking a few fiber bundles!

[@_photography_]

lol cameraman was fine