Emergent Geometry from the IKKT Matrix Model: Convergence to S^4 | Zenodo
Skip to main
You are using an outdated browser. Please upgrade your browser to improve your experience.
Published April 14, 2026
| Version v2
Preprint
Open
Emergent Geometry from the IKKT Matrix Model: Convergence to S^4
Authors/Creators
Rishabh, Kharyal
Description
We prove that the IKKT matrix model in d = 5 Euclidean dimensions with fermionic<br>determinant weight | det D(X)|nf /2, where nf = 27 is the fermion count dictated by the ex-<br>ceptional Jordan algebra J3(O), produces emergent four-dimensional Riemannian geometry<br>with EinsteinHilbert gravity. The main result (Theorem A) establishes ve statements:<br>(a) the partition function ZN is nite for all N ≥ 21 and diverges for N Files
revised.pdf
Files<br>(692.0 kB)
Name<br>Size
Download all
revised.pdf
md5:aa17a1009a15af0efed64d3d01645a8d
692.0 kB
Preview
Download
162
Views
138
Downloads
Show more details
All versions<br>This version
Views
Total views
162
104
Downloads
Total downloads
138
87
Data volume
Total data volume
157.8 MB<br>107.9 MB
More info on how stats are collected....
Versions
External resources
Indexed in
OpenAIRE
Communities
Keywords and subjects
Keywords
ikkt matrix model
emergent geometry
Einstein-Hilbert gravity
spectral action
exceptional Jordan algebra
Gromov-Hausdorff convergence
fuzzy four-sphere
free probability
noncommutative geometry
Details
DOI
DOI Badge
DOI
10.5281/zenodo.19558001
Markdown
[](https://doi.org/10.5281/zenodo.19558001)
reStructuredText
.. image:: https://zenodo.org/badge/DOI/10.5281/zenodo.19558001.svg<br>:target: https://doi.org/10.5281/zenodo.19558001
HTML
Image URL
https://zenodo.org/badge/DOI/10.5281/zenodo.19558001.svg
Target URL
https://doi.org/10.5281/zenodo.19558001
Resource type<br>Preprint
Publisher<br>Zenodo
Rights
License
Creative Commons Attribution 4.0 International
The Creative Commons Attribution license allows re-distribution and re-use of a licensed work on the condition that the creator is appropriately credited.
Read more
Citation
Export
Technical metadata
Created
April 13, 2026
Modified
April 13, 2026
Jump up
This site uses cookies. Find out more on how we use cookies
Accept all cookies<br>Accept only essential cookies