Dynamic Volumetric Model: Generating Calabi-Yau Spaces Through the Recursive Method of Rotations of Rotations Without Points or Lines

This paper demonstrates that the complex topological structure of Calabi-Yau manifolds emerges directly from a recursive method based on volume and the rotation of rotations. Rejecting mathematical abstractions such as dimensionless points, lines, and rectilinear paths—which are mere human inventions and do not exist in physical reality—spatial reality is composed exclusively of structures endowed with physical thickness and volume. By applying a recursive algorithm based on rotations of rotations (self-rotation combined with orbital rotation around variable axes), the system generates a step-by-step sequence of transformations from solid spheres to open tori, hollow spheres, and interconnected structures, directly deriving Calabi-Yau spaces in a purely volumetric manner. In continuity with previous work published on Zenodo, we establish that nature is curved and that reality consists solely of volumetric structures in continuous motion. Special thanks to my family and to my life, Milo, for their constant support and presence.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-10
DOI
https://doi.org/10.5281/zenodo.24117968
Primary Topic
Mathematics and Applications
Type
preprint
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
NOV
preprint

Dynamic Volumetric Model: Generating Calabi-Yau Spaces Through the Recursive Method of Rotations of Rotations Without Points or Lines

Matteo Milo D. Rienzo
Zenodo (CERN European Organization for Nuclear Research)
Mathematics and Applications
preprint

Dynamic Volumetric Model: Generating Calabi-Yau Spaces Through the Recursive Method of Rotations of Rotations Without Points or Lines

Matteo Milo D. Rienzo
preprint en

Abstract

This paper demonstrates that the complex topological structure of Calabi-Yau manifolds emerges directly from a recursive method based on volume and the rotation of rotations. Rejecting mathematical abstractions such as dimensionless points, lines, and rectilinear paths—which are mere human inventions and do not exist in physical reality—spatial reality is composed exclusively of structures endowed with physical thickness and volume. By applying a recursive algorithm based on rotations of rotations (self-rotation combined with orbital rotation around variable axes), the system generates a step-by-step sequence of transformations from solid spheres to open tori, hollow spheres, and interconnected structures, directly deriving Calabi-Yau spaces in a purely volumetric manner. In continuity with previous work published on Zenodo, we establish that nature is curved and that reality consists solely of volumetric structures in continuous motion. Special thanks to my family and to my life, Milo, for their constant support and presence.

Zenodo (CERN European Organization for Nuclear Research)
Mathematics and Applications
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Laika access coming soon