0:00:00 Hi, my name is Uncompetative
0:03:20 I explain that I will skip Eric's 2020 introduction
0:04:00 I will clarify the lecture with the 2021 draft paper
0:04:20 This lecture isn't "complete nonsense word salad"
0:09:56 How I explained Geometric Unity to Eric Weinstein
0:12:16 The April 1st 2021 paper is a draft work in progress
0:14:06 I am not in a position to provide technical feedback
0:14:17 I can understand where his "critics" misrepresent him
1:02:24 The original Facebook ad for his 'program' of research
1:11:03 The so-called 'Self Dual" Yang-Mills curvature equation
1:29:51 An overview of Eric Weinstein's unification of Lie groups
1:45:08 Problems with Grand Unified Theories: SU(5) & Spin(10)
1:47:54 Why Netflix's "3 Body Problem" adaptation is really silly
2:05:58 Hendrik Lorentz's (1, 3) refinement of Bernhard Riemann
2:07:08 East Coast convention [- + + +] and (temporal, spatial)
2:08:27 Einstein uses M¹·³ in Geometric Relativity with a Metric
2:09:46 Weinstein uses X¹·³ observing Y⁷·⁷ as his "Observerse"
2:10:52 The Ehresmannian Fiber Bundle Y⁷·⁷ hosts unified field ω
2:12:02 (7, 7) - (1, 3) = (6, 4) for Spin(1, 3) x Spin(6, 4) → Spin(7, 7)
2:12:22 Spin(6, 4) includes Spin(6) x Spin(4) includes field content
2:12:31 The Chimeric Fiber Bundle C(Y⁷·⁷) has U(64, 64) Weyl spinors
2:13:36 Spacetime is a cross section of this 14D Chimeric Fiber Bundle
2:13:53 Intersection allocates tiny implicit (internal) 10D Hyperspheres
2:14:39 X¹·³ Spacetime contains spinors at every adjacent infinitesimal point
2:14:50 Spin(6) x Spin(4) includes P-symmetric fields SU(4) x (SU(2) x SU(2))
2:23:18 U(64, 64) includes SU(2) Oppenheimer A-bomb and U(1)ₑₘ Barbie Pink
2:26:58 ASIDE: Garrett Lisi's E₈ and history of Complex Numbers, Octonions, etc.
3:44:19 ASIDE: The Cayley-Dickson algebra, Sedenions, Trigintaduonions
3:55:27 ASIDE: Division Algebras and The Standard Model by Cohl Furey
4:05:39 ASIDE: A couple of papers that are based upon Trigintaduonions
4:29:48 My blackboard summary of Geometric Unity (with annotations)
5:04:24 Explaining why Einstein's 4x4 Metric tensor has 10 dimensions
5:34:13 as Met(M¹·³) in General Relativity has 4 (length) + 6 (angles)
5:35:23 Einstein Summation Notation in the Einstein Field Equations
5:41:52 k is a scaling factor that makes spacetime hard to bend
5:46:52 I'm able to jump away from the whole mass of the Earth
5:50:59 Comparison of range at which "forces" have influence
5:55:53 Einstein's greatest blunder: The Cosmological constant
6:57:27 The Vacuum Field Equations are the massless Einstein Field Equations
7:00:26 Einstein has axes: t x y z and Weinstein has axes: w x y z and uses them
7:30:37 Comparison between General Relativity and Geometric Unity
7:33:35 NOTE: some changes of Notation for ease of understanding
7:35:23 The cardinality of the unrestricted set of dimensional measures to chart X⁴
7:47:31 The triangle of Einstein Field Equations (plural), Dirac and Yang-Mills equations
8:03:11 How Weinstein obtains U(64, 64) from X⁴ according to his 2021 draft paper
8:16:08 How X⁴ without a metric recovers one via the Levi-Civita connection
8:26:31 How Weinstein has promised to reconstruct his SHIABs ⦿ε
8:46:43 Our X¹·³ physical spacetime is recovered from pure mathematics
8:47:06 The curvature of spacetime (gravity) is the engine of Observation
8:47:14 of a partial sample via π of the single unified field ω (omega) from C(Y⁷·⁷)
8:47:27 ω = ((Boson fields), (Fermionic fields)) = (( ε, ϖ ), ( ν, ζ )) where ζ is Spin 3/2
8:47:38 as evidenced by the slide of the Fermionic Field Content shown in the lecture
9:27:24 The Swervature = The Displasion (presumably within the fiber bundle in 14D)
9:28:49 "I may have said a few things in this that have been a little bit incautious"
9:32:25 NOTE: Fπ may be analogous to the whole Riemann curvature tensor pre- ⦿ε
9:34:37 The May 23rd 2013 Special Simonyi Lecture at the University of Oxford
9:37:07 Eric Weinstein's introduction to his speculative lecture about his ideas
9:42:46 "What is physics to physicists today?" (I first let him talk uninterrupted)
9:47:47 The Current Picture of Physics ~ courtesy of Edward Witten's 3 insights:
9:50:59 (i) Physics takes place in an Arena ~ the Einstein Field Equations (plural)
9:58:03 (ii) Symmetry groups in The Standard Model ~ the Yang-Mills Equation
10:06:30 (iii) See the note in the pinned comment as this part is rather opaque
10:10:06 All three are to be interpreted in Quantum Field Theoretic terms (QFT)
10:57:19 The Universe contemplates itself into existence (John Wheeler)
10:57:54 General Relativity - time and space distortion (animated .gif)
10:58:46 This .gif was within my tweet that summarised Geometric Unity
11:00:00 "There's obviously the stuff I'm sure about" X⁴ grows U(64, 64)
11:02:40 the Slide of the Fermionic Field Complex had this back in 2013
11:23:17 EPIPHANY! Yang-Mills²ⁿᵈ comes from Einstein-Chern-Simons¹ˢᵗ
11:40:29 Motivations for Geometric Unity - breaking down the walls
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