Главная
Study mode:
on
1
DATE: 21 December 2018, 15:00 to
2
Is the Universe Geometric or Algebraic?
3
Platonic solids
4
Pythagoras: All is number
5
1. Perception
6
A Puzzle
7
Shapes and Numbers
8
Computer Vision
9
'The Mind's New Science: a History of the Cognitive Revolution' by Howard Gardner
10
ll. Reality
11
Number or Shape?
12
lll. Some numbers in nature
13
Points on a line
14
Points in the plane
15
Complex numbers
16
Question
17
Geometric algebra or Grassmann algebra
18
V. Number and shape in the 19th century II: Clifford
19
Clifford algebra
20
Clifford on space and gravity
21
Clifford on number and shape
22
VI. Some elaboration on microscopic numbers
23
Addition of particles
24
Schroedinger's Cat
25
Inspiration + Perspiration
26
Multiplication of particles
27
So why is this operation multiplication?
28
VII. Arithmetic Geometry
29
From Numbers to Shapes
30
Numbers - Shapes
31
Is the universe number or shape?
32
Nima Arkani-Hamed
Description:
Explore the fundamental question of whether the universe is geometric or algebraic in this thought-provoking Einstein Lecture by Minhyong Kim. Delve into the historical context of this inquiry, from Platonic solids and Pythagorean philosophy to modern concepts in computer vision and cognitive science. Examine the interplay between numbers and shapes in nature, including complex numbers and Clifford algebras. Investigate the role of geometry and algebra in quantum mechanics, particle physics, and arithmetic geometry. Gain insights into how mathematicians and physicists approach this profound question about the nature of reality, concluding with perspectives from contemporary thinkers like Nima Arkani-Hamed.

Is the Universe Geometric or Algebraic? by Minhyong Kim

International Centre for Theoretical Sciences
Add to list
#Science #Physics #Mathematical Physics #Mathematics #Complex Numbers #Geometry #Platonic Solids #Number Theory #Arithmetic Geometry
1 of 32

DATE: 21 December 2018, 15:00 to