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From image processing to information retrieval from the brain structure and signal, brain researchers find common geometric shapes from the lower dimensional data to derive higher dimensional data and create the elements of higher dimensional data. We have challenged this culture and argued to replace it with a practice to find elements in the orthogonal space, which are conceptually invariants of lower dimensions. At the same time, we have argued to replace space-time with space-time-topology-prime-based invariants under the self-operating material universe, SOMU, since the density of primes is a bias-free infinite source to deliver unique symmetries perpetually. Here we have derived the topology or morphogenesis from the density of primes and estimated the framework of maniflats and manifolds derived from the 1D to 20D tensors holding the within-and-above network of invariants as conscious thoughts of a human brain.

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Keyword: Self-operating mathematical universe, SOMU, prime number theorem, density of primes

Date published: 2023-05-28

Publisher: Springer Nature Singapore

Journal:

• Lecture Notes in Networks and Systems (ISSN: 23673370) p. 449-467

Funding:

Manuscript type: Author's version (Accepted manuscript)

MDR DOI: https://doi.org/10.48505/nims.5268

First published URL: https://doi.org/10.1007/978-981-19-9483-8_38

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Updated at: 2025-01-11 16:31:01 +0900

Published on MDR: 2025-01-11 16:31:01 +0900