Symmetry | Lorentzian manifolds
Spacetime symmetries are features of spacetime that can be described as exhibiting some form of symmetry. The role of symmetry in physics is important in simplifying solutions to many problems. Spacetime symmetries are used in the study of exact solutions of Einstein's field equations of general relativity. Spacetime symmetries are distinguished from internal symmetries. (Wikipedia).
Symmetries show up everywhere in physics. But what is a symmetry? While the symmetries of shapes can be interesting, a lot of times, we are more interested in symmetries of space or symmetries of spacetime. To describe these, we need to build "invariants" which give a mathematical represen
From playlist Relativity
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From playlist Science Unplugged: Special Relativity
Minkowski Space-Time: Spacetime in Special Relativity
Includes discussion of the space-time invariant interval and how the axes for time and space transform in Special Relativity.
From playlist Physics
Spacetime Diagrams: An Easy Way to Visualize Special Relativity (Physics by Parth G)
If you've seen a distance-time graph before, you'll pick up spacetime diagrams very quickly... and understand their true power in visualizing special relativity! A spacetime diagram is any diagram that shows the behavior of an object through space and time. However, the term most commonly
From playlist Relativity by Parth G
Special Relativity: 2 - Spacetime Diagrams
An introduction to spacetime diagrams which are a valuable tool used to understand special relativity. The second in a series on special and general relativity. Let us know what you think of these videos by filling out our short survey at http://tinyurl.com/astronomy-pulsar. Thank you!
From playlist Special Relativity
Relativity 8 - the yardstick of spacetime
The final piece of the puzzle falls in place. Herman Minkowski showed that Special Relativity defines a spacetime invariant - the "proper time" - between two events. Einstein's insight into the equivalence between falling and floating allowed him to realize that this also applied to Genera
From playlist Relativity
A Swift Introduction to Spacetime Algebra
This video is a fast-paced introduction to Spacetime Algebra (STA), which is the geometric algebra of Minkowski space. In it, we figure out what the problems are with the way introductory textbooks usually describe special relativity and how we can solve those problems by using spacetime
From playlist Miscellaneous Math
Special Relativity Intro: Reference Frames & Spacetime Diagrams
Special relativity gives us a powerful new way to think about physics. In order to apply special relativity, we first have to understand coordinate systems! Here we talk about defining coordinate systems using rulers and clocks, as well as using spacetime diagrams to draw world lines. Spe
From playlist Special Relativity
The meme that teaches relativity (Spacetime symmetries and the celestial sphere) #SoME2
Can a joke teach one of the most surprising aspects of relativity? How can we see four-dimensional transformations? What would we see if we accelerated to relativistic speeds? Mathematical jokes: https://en.wikipedia.org/wiki/Mathematical_joke Chapters: 0:00 The impossible triangle 1:11
From playlist Summer of Math Exposition 2 videos
Simplifying String Theory by Rajesh Gopakumar, ICTS
Science at ICTS URL: https://www.icts.res.in/science-at-icts Date: 20 June 2015 Venue: ICTS-TIFR Campus DESCRIPTION : - This event marks the inauguration of the Campus of the International Centre for Theoretical Sciences of TIFR. The academic program will consist of lectures in tradit
From playlist Science at ICTS
The Maths of General Relativity (1/8) - Spacetime and Worldlines
In this series, we build together the theory of general relativity. This first video focuses on the notions of worldline, proper time, and coordinate systems. For more videos, subscribe to the YouTube channel : https://www.youtube.com/ScienceClicEN And if you liked this video, you can sha
From playlist The Maths of General Relativity
Energy and Momentum Conservation | Noether’s Theorem | Symmetry
▶ Topics ◀ Conservation Laws, Noether's Theorem, Noether Charge ▶ Social Media ◀ [Instagram] @prettymuchvideo ▶ Music ◀ TheFatRat - Fly Away feat. Anjulie https://open.spotify.com/track/1DfFHyrenAJbqsLcpRiOD9 ▶ Extra Info ◀ https://en.wikipedia.org/wiki/Four-vector http://www.scholarpe
From playlist Symmetry
Noether's Theorem and The Symmetries of Reality
Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: https://to.pbs.org/DonateSPACE To learn more about Brilliant, you can go to https://brilliant.org/spacetime/ Conservation laws are among the most important tools in physics. They feel as fundament
From playlist Space Time!
Electroweak Theory and the Origin of the Fundamental Forces
PBS Member Stations rely on viewers like you. To support your local station, go to: http://to.pbs.org/DonateSPACE ↓ More info below ↓ Our universe seems pretty complicated. We have a weird zoo of elementary particles, which interact through very different fundamental forces. But some extr
From playlist The Fundamental Forces & The Standard Model
What is General Relativity? Lesson 46: Symmetries of the Riemann Tensor
What is General Relativity? Lesson 46: Symmetries of the Riemann Tensor Here we review material that shows up so frequently in general relativity mathematics that was simply must push through it and become comfortable with it. Please consider supporting this channel via Patreon: https:/
From playlist What is General Relativity?
Scattering Amplitudes and Clusterhedra in Kinematic Space (Lecture 1) by Nima Arkani Hamed
RECENT DEVELOPMENTS IN S-MATRIX THEORY (ONLINE) ORGANIZERS: Alok Laddha, Song He and Yu-tin Huang DATE: 20 July 2020 to 31 July 2020 VENUE:Online Due to the ongoing COVID-19 pandemic, the original program has been canceled. However, the meeting will be conducted through online lectures
From playlist Recent Developments in S-matrix Theory (Online)
Lars Andersson - Geometry and analysis in black hole spacetimes (Part 1)
Black holes play a central role in general relativity and astrophysics. The problem of proving the dynamical stability of the Kerr black hole spacetime, which is describes a rotating black hole in vacuum, is one of the most important open problems in general relativity. Following a brief i
From playlist Ecole d'été 2014 - Analyse asymptotique en relativité générale
What is General Relativity? Lesson 4: Introduction to the Connection
This video is about What is General Relativity? Lesson 4: Introduction to the Connection
From playlist What is General Relativity?
What is General Relativity? Lesson 36: Introduction to the Einstein Equation
What is General Relativity? Lesson 36: Introduction to the Einstein Equation This lesson sets the stage for our attack on the Einstein equation. NOTE and ERATA: At 11:26 I called the Ricci Tensor the "Riemann Curvature Tensor" by mistake! R_ab is the "Ricci tensor"! The paper by Kostic
From playlist What is General Relativity?