1 / 11

Alice Universe

Alice Universe. 王元君 Ong Yen Chin LeCosPA Quantum Cosmology Group Meeting 25 January 2011. Non-Orientable Manifolds. Living in Non-Orientable World. Tic- Tac -Toe on a Klein Bottle. What if the universe has property like this?.

tuari
Download Presentation

Alice Universe

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Alice Universe 王元君 Ong Yen Chin LeCosPAQuantum Cosmology Group Meeting25 January 2011

  2. Non-Orientable Manifolds

  3. Living in Non-Orientable World Tic-Tac-Toe on a Klein Bottle

  4. What if the universe has propertylike this? Torus Klein Bottle Projective Space

  5. Alice Universe • Possible explanation for baryon asymmetry: Matter and anti-matter can be convert into each other by “circumnavigating” the universe. Eventually their ratio is fixed when circumnavigating becomes impossible due to inflation. • Charge is only locally conserved. [Cheshire Charge]

  6. A Projective Space Universe • The only complete and connected, globally isotropic 3-dimensional Riemannian manifolds are 3-sphere, Euclidean 3-space, hyperbolic 3-space and Projective 3-space. [p.131, “Global Lorentzian Geometry”, Beem and Ehrlich]

  7. Hawking and Ellis, p.136

  8. A Projective Space Universe Schwarzschild,  writing about the possible geometries of 3-dimensional space over 100 years ago [in 1900], considered and even flat torus, but he rejected the 3-sphere on the grounds that we should not consider something that complicatedunless it were really necessary! [He did not like the sphere because two coplanar geodesics intersect twice instead of once, as in ]. K. Schwarzschild, On the permissible curvature of space [translation], Class. Quantum Grav. 15 (1998) 2539

  9. De Sitter. Einstein's theory of gravitation and its astronomical consequences, Third paper; Monthly Notices of the Royal Astronomical Society, Vol. 78, p.3-28; 11/1917.

  10. De Sitter Space

  11. Schwarzschild-de Sitter Space

More Related