The Wafold: Curvature-Driven Termination and Dimensional Compression in Black Holes
Name
entropy-28-00022-v2.pdf
Size
419.21 KB
Format
Adobe PDF
Checksum (MD5)
4ea6adef9fd1af6f6ea94fb20b78bdc9
Author(s)
Viaña, Javier
Date Issued
December 23, 2025
Journal
Entropy
Publisher
Multidisciplinary Digital Publishing Institute
Citation
Viaña, J. The Wafold: Curvature-Driven Termination and Dimensional Compression in Black Holes. Entropy 2026, 28, 22.
Version
Final published version
Abstract
This work explores a geometric description of black holes in which spacetime terminates on a curvature-triggered hypersurface rather than extending to an interior singularity. We study the implications of a scenario in which, upon reaching a critical curvature threshold, the three-dimensional spatial geometry compresses into a thin, closed boundary identified here as the wafold. Beyond this, the manifold would no longer continue, and all mass–energy and information would be confined to the hypersurface itself. This framework combines two well-explored paths: (1) curvature-driven geometric compression, in which extreme curvature forces the bulk degrees of freedom to become supported on a thin hypersurface (without altering the underlying dimensionality of spacetime), and (2) the motivation underlying the holographic principle, namely that black-hole entropy scales with surface area rather than volume, suggesting that information is governed by a boundary geometry rather than a bulk volume. We elaborate a dimensional conversion law that would be required to describe the collapse of spatial volume into surface area as a conserved flux of geometric capacity across the wafold, and we analyze the resulting consequences of treating this hypersurface as the terminal boundary of the manifold.
MIT Department
Massachusetts Institute of Technology. Department of Physics
MIT Kavli Institute for Astrophysics and Space Research
Terms of Use
Creative Commons Attribution
Persistent DSpace Link
DOI of Published Version
http://dx.doi.org/10.3390/e28010022
