Lorentzian manifolds

Penrose diagram

In theoretical physics, a Penrose diagram (named after mathematical physicist Roger Penrose) is a two-dimensional diagram capturing the causal relations between different points in spacetime through a conformal treatment of infinity. It is an extension of a Minkowski diagram where the vertical dimension represents time, and the horizontal dimension represents a space dimension. Using this design, all light rays take a 45° path.. The biggest difference is that locally, the metric on a Penrose diagram is conformally equivalent to the actual metric in spacetime. The conformal factor is chosen such that the entire infinite spacetime is transformed into a Penrose diagram of finite size, with infinity on the boundary of the diagram. For spherically symmetric spacetimes, every point in the Penrose diagram corresponds to a 2-dimensional sphere . (Wikipedia).

Penrose diagram
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Penrose tiles in Roblox

Work in progress, join us on Thursday the 4th of November AEDT as we discuss how to make music out of Penrose tiles. See https://metauni.org for the schedule and instructions on how to join. This video was recorded in Tessell Tunes https://www.roblox.com/games/8157896225/Tessell-Tunes-met

From playlist Metauni

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metauni Day - Penrose tiles

This video was filmed in https://www.roblox.com/games/8157896225/Tessell-Tunes-metauni as part of a series of seminars and events happening every Thursday AEDT. See https://www.metauni.org for more details.

From playlist Metauni

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MAKING AN INTERACTIVE PENROSE TILING | Math in Dreams (PS4) | ND

The Penrose Tiling has always been a mathematical tiling that I have struggled to wrap my brain around, but I realized I might be able to build the Penrose Tiling in Dreams (PS4) instead of attempting to draw it by hand. With a bit of tinkering and after realizing building it by hand was g

From playlist The New CHALKboard

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Phase space representation of a Penrose unilluminable room

This simulation features a Penrose room with "mushrooms" of variable size, which previously appeared in the video https://youtu.be/Z_1dSkT1WxU - see the description of that video for more details on the illumination problem. The presence of the concave mushrooms makes this billiard quite

From playlist Illumination problem

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Laying of the Penrose Paving

A time-lapse film of the laying of Roger Penrose's specially designed tiling outside the Andrew Wiles Building. The paving is constructed from just two different diamond-shaped granite tiles, each adorned identically with stainless steel circular arcs. There are various ways of covering th

From playlist The Roger Penrose Playlist

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Impossible triangles

Exploring some ways to create the illusion of an impossible triangle. Impossible triangle (helix): http://shpws.me/TggA https://www.printables.com/model/292131-impossible-triangle-helix tato_713's "Penrose triangle like figure" https://www.printables.com/model/157441-penrose-triangle-li

From playlist 3D printing

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Drawing Diagram Venn 1

see the video to drawing diagram venn in geogebra

From playlist SET

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Escape The Kugelblitz Challenge

Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: https://to.pbs.org/DonateSPACE If you know enough about astrophysics you could save the world from alien attack. Get your own Space Time t­shirt at http://bit.ly/1QlzoBi Tweet at us! @pbsspacetime

From playlist Space Time Challenge Videos! (And Answers!)

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What Happens at the Event Horizon? | Space Time | PBS Digital Studios

Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: https://to.pbs.org/DonateSPACE What really happens when you approach the event horizon of a black hole? What do you see when you actually cross it? Matt shows you an elegant tool for understanding

From playlist Best of Space Time!

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Impossible triangle

How to draw an impossible "Penrose triangle" using Inkscape.

From playlist MASA

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How to See Black Holes + Kugelblitz Challenge Answer

Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: https://to.pbs.org/DonateSPACE Find out how scientists are mapping the black holes throughout the Milky Way and beyond as well as the answer to the Escape the Kugelblitz Challenge Question. Were you

From playlist Space Time Challenge Videos! (And Answers!)

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The Edge of an Infinite Universe

PBS Member Stations rely on viewers like you. To support your local station, go to: http://to.pbs.org/DonateSPACE ↓ More info below ↓ Have you ever asked “what is beyond the edge of the universe?” And have you ever been told that an infinite universe that has no edge? You were told wrong.

From playlist What Fraser's watching

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What’s On The Other Side Of A Black Hole?

PBS Member Stations rely on viewers like you. To support your local station, go to: http://to.pbs.org/DonateSPACE ↓ More info below ↓ Sign Up on Patreon to get access to the Space Time Discord! https://www.patreon.com/pbsspacetime Sign up for the mailing list to get episode notification

From playlist Space Time!

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White Holes | Space Time

Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: https://to.pbs.org/DonateSPACE Black holes are very well known but... What is a White Hole? Get 15% off your next purchase at https://www.legalzoom.com/spacetime. LegalZoom is not a law firm or a su

From playlist What Fraser's watching

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Phase space representation of a Penrose room of varying length

In this second simulation of Penrose unilluminable rooms, the size of the "mushrooms" does not change, but the aspect ratio of the large ellipses does change. Unlike in previous phase space representations, the chaotic orbits have not been pixelized. The presence of the concave mushrooms

From playlist Illumination problem

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Lecture 4 | Topics in String Theory

(January 31, 2011) Leonard Susskind gives a lecture on string theory and particle physics that focuses on the geometry of a black hole near the horizon. He describes how standard concepts from quantum physics can explain the physics that occur at this point. In the last of course of this

From playlist Lecture Collection | Topics in String Theory (Winter 2011)

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What Happens After the Universe Ends?

PBS Member Stations rely on viewers like you. To support your local station, go to: http://to.pbs.org/DonateSPACE ↓ More info below ↓ Sign Up on Patreon to get access to the Space Time Discord! https://www.patreon.com/pbsspacetime Check out the Space Time Merch Store https://pbsspacetim

From playlist The End of The Universe!

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General Relativity Lecture 8

(November 12, 2012) Leonard Susskind develops the coordinate transformations used to create Penrose diagrams, and then uses them to describe the physics of black hole creation. This series is the fourth installment of a six-quarter series that explore the foundations of modern physics. In

From playlist Lecture Collection | General Relativity

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making a quill pen

~Visit www.EdwardChing.artistwebsites.com to see artwork, shop, ... This video is instructional on how to make quill pens. You'll see step by step: how to convert a feather into an iconic drawing tool. There's also info on actually drawing with a quill and using inks of different colors.

From playlist Quill Pen

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Mapping the Multiverse

PBS Member Stations rely on viewers like you. To support your local station, go to: http://to.pbs.org/DonateSPACE ↓ More info below ↓ Sign Up on Patreon to get access to the Space Time Discord! https://www.patreon.com/pbsspacetime Check out the Space Time Merch Store https://pbsspacetim

From playlist Many Worlds and the Multiverse Explained!

Related pages

Hyperbola | Causal structure | Conformal equivalence | Coordinate vector | Metric tensor | Point (geometry) | Diagonal | Weyl transformation | Reissner–Nordström metric | Causality | Spherically symmetric spacetime | Kruskal–Szekeres coordinates | Kerr metric | Conformal map | Asymptotically flat spacetime | Minkowski space