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Categorical Smoothness of 4-Manifolds
- Subjects: Computer Science, Information Systems
- |
- Contributors:
- Jerzy Król ,
- Torsten Asselmeyer-Maluga
03:31
13:18
04:36
Playlist
03:31
13:18
04:36
- quantum spacetime structure
- exotic 4-smoothness
- quantum mechanics
- information loss
Video Introduction
This video is adapted from 10.3390/e24030391
If black holes leave empty spacetime after they evaporate, the information about quantum matter forming black hole is lost. This is the celebrated information paradox originally stated by Hawking. Researchers focus on some aspects of the relation of spacetime and quantum mechanics and the study counterparts (in Set) of the categorical local symmetries of smooth 4-manifolds. In the set-theoretic limit, there emerge some exotic smoothness structures on (hence the Riemannian nonvanishing curvature), which fit well with the quantum mechanical lattice of projections on infinite-dimensional Hilbert spaces.
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If you have any further questions, please contact Encyclopedia Editorial Office.
Król, J.; Asselmeyer-Maluga, T. Categorical Smoothness of 4-Manifolds. Encyclopedia. Available online: https://encyclopedia.pub/video/video_detail/402 (accessed on 16 January 2026).
Król J, Asselmeyer-Maluga T. Categorical Smoothness of 4-Manifolds. Encyclopedia. Available at: https://encyclopedia.pub/video/video_detail/402. Accessed January 16, 2026.
Król, Jerzy, Torsten Asselmeyer-Maluga. "Categorical Smoothness of 4-Manifolds" Encyclopedia, https://encyclopedia.pub/video/video_detail/402 (accessed January 16, 2026).
Król, J., & Asselmeyer-Maluga, T. (2022, August 22). Categorical Smoothness of 4-Manifolds. In Encyclopedia. https://encyclopedia.pub/video/video_detail/402
Król, Jerzy and Torsten Asselmeyer-Maluga. "Categorical Smoothness of 4-Manifolds." Encyclopedia. Web. 22 August, 2022.
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