# Gravitational Collapse and Universality at Infinite Dimension

- Institution: CERN
- Speaker: Guilherme Pimentel
- Year: 2026
- Language: English
- Source: [CERN](https://videos.cern.ch/record/3026570)
- Licence: [CERN](https://copyright.web.cern)
- Who can watch: Teens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

I will review how a series of impressive numerical calculations in the early 90s provided evidence of universal scaling behavior in gravitational collapse. Then I focus on the specific example of a spherically symmetric cloud of a perfect fluid. Using the inverse of the number of dimensions as a small parameter, we found the critical solution and computed the universal scaling behavior. At leading order, it is independent of the equation of state, and reminiscent of mean field theory. This rich system provides many potential routes for exploring universality in classical gravity, with 1/D playing a similar role as the epsilon expansion in statistical physics. Based on a series of papers to appear with Craig R. Clark.

00:00:00 Slide 1

00:01:40 Slide 2

00:02:20 Slide 3

00:02:54 Slide 4

00:03:15 Slide 5

00:03:40 Slide 6

00:06:31 Slide 7

00:06:52 Slide 8

00:08:05 Slide 9

00:08:30 Slide 10

00:09:25 Slide 11

00:09:59 Slide 12

00:10:15 Slide 13

00:10:50 Slide 14

00:15:18 Slide 15

00:16:17 Slide 16

00:16:30 Slide 17

00:16:55 Slide 18

00:17:57 Slide 19

00:18:37 Slide 20

00:19:15 Slide 21

00:21:27 Slide 22

00:22:14 Slide 23

00:22:26 Slide 24

00:23:16 Slide 25

00:25:46 Slide 26

00:27:56 Slide 27

00:30:15 Slide 28

00:32:01 Slide 29

00:37:05 Slide 30

00:38:22 Slide 31

00:38:44 Slide 32

00:39:25 Slide 33

00:40:16 Slide 34

00:40:49 Slide 35

00:41:03 Slide 36

00:42:21 Slide 37

00:42:47 Slide 38

00:43:02 Slide 39

00:43:57 Slide 40

00:44:30 Slide 41

00:44:41 Slide 42

00:45:38 Slide 43

00:46:01 Slide 44

00:46:34 Slide 45

00:48:27 Slide 46

00:48:44 Slide 47

00:49:58 Slide 48

00:50:15 Slide 49

00:52:03 Slide 50

00:54:40 Slide 51

01:00:27 Slide 52

## Lectures

1. [Gravitational Collapse and Universality at Infinite Dimension](https://invisiblenetwork.ai/learn/cern/3026570/888c5d15d327), 1 h 3 min (CERN's player)