Mapping the Universe with Spherical Harmonics

Summary:
We explore, what scientists mean, when they talk about the Standard Model of Cosmology. The data of the cosmic microwave background is analyzed with the help of spherical harmonic functions.

Content:
0:00 Introduction and time travel
4:30 Branding and Title
5:20 Overview
6:27 Spherical Harmonics
7:22 In One Dimension
9:14 In Two Dimensions
9:45 On a Sphere
11:21 Spherical Harmonic Functions
14:35 The Monopole - The Average CMB Temperature
19:25 The Dipole
22:07 Beyond the Dipole
23:40 The Power Spectrum
26:25 Mapping The Universe
28:56 The Lambda-CDM-Model
30:20 Outlook

Correction:
00:48 Polaris is actually 400 light years instead of 800 light years away. The historical content Dschingis Khan should be replaced by Louis XIV or somebody from the 17th century.
1:00 The crab nebular is not a stellar nursery but rather the opposite. It is the grave stone of a star, the remnants of a supernova. However, it is still conceivable that a new star forms from the left over debris.

References:
The Planck Legacy, where the data is taken from:
https://arxiv.org/abs/1807.06205

For the black hole lensing:
https://youtu.be/84lNhHcpDNk @simonvanschuylenbergh

The following external content was used:

Created using assets from ambientCG.com,
licensed under the Creative Commons CC0 1.0 Universal License.

ambientCG.com/a/Ground037
ambientCG.com/a/Rock023
ambientCG.com/a/Snow006

cmb:
ESA/Planck

star data:
https://cdsarc.cds.unistra.fr/viz-bin/Cat?I/131A#/browse

lego:
https://mecabricks.com/en/models/r121k844vlB
https://www.mecabricks.com/en/models/0DvYYkdbv9e
https://www.mecabricks.com/en/workshop/0DvYZd4Qa9e

Видео Mapping the Universe with Spherical Harmonics канала NumberCruncher