17 citations · 20 across the 5 of their papers we have counts for
5 papers
The Universe from Nothing: A Mathematical Lattice of Empty Sets
Michel Bounias, Volodymyr Krasnoholovets
In this work, major principles of the mathematical constitution of space and the principles of construction of the physical space are presented. Generalized conceptions of distance…
Scanning the structure of ill-known spaces: Part 3. Distribution of topological structures at elementary and cosmic scales
Michel Bounias, Volodymyr Krasnoholovets
The distribution of the deformations of elementary cells is studied in an abstract lattice constructed from the existence of the empty set. One combination rule determining oriente…
Scanning the structure of ill-known spaces: Part 2. Principles of construction of physical space
Michel Bounias, Volodymyr Krasnoholovets
Spacetime is represented by ordered sequences of topologically closed Poincare sections of the primary space constructed of primary empty cells. These mappings are constrained to p…
Scanning the structure of ill-known spaces: Part 1. Founding principles about mathematical constitution of space
Michel Bounias, Volodymyr Krasnoholovets
Necessary and sufficient conditions allowing a previously unknown space to be explored through scanning operators are reexamined with respect to measure theory. Generalized concept…
Spacetime differential elements and the distribution of bio-Hamiltonian components
Michel Bounias
Various Hamiltonian models have been derived for chemical structures belonging to living organisms while the Hamiltonian concept was not applied to life as a whole. However, Hamilt…