This preprint publication is an abridged English translation of the first part of the author's comprehensive three-volume research project, “The Mystery of the Nameless Length: The Path to Understanding Time” (“Arcanum longitudinis innominatae. Via ad comprehensionem Temporis”; 1500+ pages), which focuses on the philosophical reconceptualization of Time and Space (the ontological manifesto, alongside the abridged summaries and table of contents of the book, are published on Zenodo). This part continues the development of the geometric concept of Space initiated by the author in previous monographs: “Different Cosmology: Reframe the Physics,” “Different Cosmology: The Universal Kaleidoscope” (2016), and “At the Mercy of the Magnetic Field” (2019). The point of departure here is a fundamental rethinking of Space from the perspective of Johannes Kepler’s long-neglected hypothesis regarding the connection between the planetary orbits of the Solar System and the geometry of regular polyhedra, echoing the cosmologies of Pythagoras and Plato. To Kepler's ideas, the author applies subsequently formulated scientific theories of spatial tiling (honeycombs), spherical and hyperbolic geometry, as well as wave and electromagnetic resonance; a critical analysis of Niels Bohr’s atomic model is also conducted. The author introduces the concepts of magnetoids and plasmoids as toroidal electromagnetic structures, which are further developed throughout the research. Beyond demonstrating that the assumptions of the father of celestial mechanics are well-founded and prompting an additional critical analysis of Erwin Schrödinger’s theory of atomic orbitals, the findings of this paper have guided the author toward formulating a non-nucleocentric model of the atom and a Modified Periodic Law, thereby illuminating the logic and regularities of harmonious development across the universe. Directly expanding upon Kepler's foundational idea allows for a novel perspective on the structure of the Solar System, as well as the roles of the Moon and Venus in Earth's development. In particular, the geometric analysis provides solid grounds to state that it is not the Moon that is a satellite of the Earth, but quite the opposite.
Alexander Bondar (Sun,) studied this question.