Pinch to zoom spacetime

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Ricci flow

In differential geometry and geometric analysis, the Ricci flow ( REE-chee, Italian: [ˈrittʃi]), sometimes also referred to as Hamilton's Ricci flow, is a certain partial differential equation for a Riemannian metric. It is often said to be analogous to the diffusion of heat and the heat equation, due to formal similarities in the mathematical structure of the equation. However, it is nonlinear and exhibits many phenomena not present in the study of the heat equation. The Ricci flow, so named for the presence of the Ricci tensor in its definition, was introduced by Richard Hamilton, who used it through the 1980s to prove striking new results in Riemannian geometry. Later extensions of Hamilton's methods by various authors resulted in new applications to geometry, including the resolution of the differentiable sphere conjecture by Simon Brendle and Richard Schoen. Following the possibility that the singularities of solutions of the Ricci flow could identify the topological data predicted by William Thurston's geometrization conjecture, Hamilton produced a number of results in the 1990s which were directed towards the conjecture's resolution. In 2002 and 2003, Grigori Perelman presented a number of fundamental new results about the Ricci flow, including a novel variant of some technical aspects of Hamilton's program. Perelman's work is now widely regarded as forming the proof of the Thurston conjecture and the Poincaré conjecture, regarded as a special case of the former. It should be emphasized that the Poincaré conjecture has been a well-known open problem in the field of geometric topology since 1904. These results by Hamilton and Perelman are considered as a milestone in the fields of geometry and topology.

Web Search Results

• Solar Spacetime Visualization - Download Free 3D model ...

  Zoom out: Double-tap or Double-click on background. Zoom: Pinch in/out or Mousewheel or CTRL + Left Mouse Button. RenderingWireframe: 5

• Beyond Space-Time: A Journey into the 'Obsiverse' Theory

  What You'll Discover: The fundamentals of spacetime as we know it: the 3 spatial dimensions and time. The concept of 'pinch to zoom' and

• Eric Weinstein

  There is an audible gasp from the audience. My claim is that the successor to Spacetime may have Pinch-to-Zoom. Sic itur ad astra.Read more

• Warped spacetime with surprise 'double-zoom' reveals radiation around distant supermassive black hole | Space

  While studying RXJ1131-1231 with the Atacama Large Millimeter/submillimeter Array (ALMA), a radio telescope comprising 66 antennas across the Atacama Desert region of northern Chile, the team saw three images of this galaxy that changed in brightness independently of one another. "That's a smoking gun for microlensing, a phenomenon that occurs when a star is located between the foreground galaxy and the observer," Rybak explained. "We immediately knew we had to pursue this further." That powerful tag-team punch of macrolensing and microlensing provided the team with a "double zoom" effect that revealed things about RXJ1131-1231 otherwise hidden. [...] An account already exists for this email address, please log in. 1. Astronomy # Warped spacetime with surprise 'double-zoom' reveals radiation around distant supermassive black hole News By Robert Lea Published "We immediately knew we had to pursue this further." An illustration of a supermassive black hole An illustration of a supermassive black hole. (Image credit: Robert Lea (created with Canva)) Facebook X Whatsapp Reddit Pinterest Flipboard Email Share this article 0 Join the conversation Follow us Add us as a preferred source on Google Subscribe to our newsletter [...] Gravitational lensing occurs when a massive object sits between Earth and a background source — in this case, RXJ1131-1231 and its quasar. The massive object warps spacetime and thus the path of light from that background source. This "macrolensing" (gravitational lensing involving a really huge lens like another galaxy) has the effect of magnifying that background source. As a result, RXJ1131-1231 appears three times larger than it would normally. However, gravitational lensing occurs in a less extreme form called "microlensing" as well, meaning lensing by an intermediate object that's considerably less massive than a galaxy. And that is something integral to this story.

• A Visual History of Pinch to Zoom - Sam Mallery

  > ## 2010 MG Siegler from Tech Crunch documents the arrival of Pinch to Zoom in Android 2.1 Eclair for the Nexus One. The gesture was added to maps, photo gallery, and the browser. Skip ahead to the 35 second mark to see the pinch. I just saved you 35 seconds of your time. You’re welcome. > ## Pop Quiz When you look at the evolution of Pinch to Zoom, from an experimental video artist in the early eighties, to a university research scientist in the mid 2000’s, does the concept seem like an idea or an invention? Note: This article was originally posted in a forum at The Verge. You can check out the lengthy discussion that follows at this link. Update: This post was updated in July, 2014 to include Dean Rubine’s work from 1991. ### Related posts [...] > ## 2006 A research scientist at NYU, Jeff Han was deeply involved with the creation of multi-touch technology, well before the announcement of the original iPhone. His 2006 TED demo clearly displays a Pinch to Zoom functionality that behaves very much like the one we use today. Skip ahead to 2:42 for the pinch felt ’round the world: > ## 2007 Steve Jobs demos Pinch to Zoom on the iPhone in 2007. Skip ahead to see it at the 33:10 mark. Jump to 47:23 for the zoom in the Maps application. However, if you’re traveling all the way over to 47:23, you may as well park at 46:20 to catch the Starbucks prank: > ## 2010 [...] > ## 1991 Moving the cameras to a safer location (the corners of a computer monitor), Dean Rubine, of Carnegie Mellon University, demonstrates a custom multi-touch system that he built, with a pinching gesture he calls “rotate-scale-translate.” Skip ahead to 7:00 for this section. > ## 1992 Sun Microsystems, Bruce Tognazinni and a crew of “more than 100 engineers, designers, futurists, and filmakers” got together to make a short film entitled Starfire in 1992. The film is set in 2004, and it’s centered around a fictitious product called the “Sun Video Collaboration Booth.” This video is worth watching in its entirety just to hear the “swoosh” sounds the booth makes whenever anything happens. Skip ahead to 2:04 to see the pinch gesture, which is a command that duplicates a toolbar: