In previous studies, I utilized a single-dimensional operationalization of species density that implies induction of hierarchy and time with certain topologies.
https://doi.org/10.1007/s11692-015-9312-0
https://doi.org/10.1371/journal.pone.0179180
https://arxiv.org/abs/1603.00959
https://www.biorxiv.org/content/10.1101/780882v2
For further clarification of induced fractals including the relation to renormalization in physics, here a theoretical development is proposed based on a newly identified fact, namely that scaling parameters for magnetization exactly correspond to imaginary parts of Riemann zeta nontrivial zeros (please double-check!). An analogy to magnetization and accompanying Fake Monster Algebra is invoked to lend support to this theory, along with empirical species density data for a wild Dictyostelia community. A master torus and a Lagrangian/Hamiltonian are derived expressing fractal structures as a solution for diminishing divergent terms in renormalization.
https://www.preprints.org/manuscript/201911.0055/v1
This work may finalize my career as a scientist and I would take a rest for a moment. I’m off.
