Topological frustration and hydrodynamic cavitation in a 4D superfluid vacuum: The physical basis of the Technecium (Z=43) anomaly
Abstract
Mainstream models of nuclear physics (shell model, drop model) describe the absence of stable isotopes for atomic numbers Z=43 (Technecium) and Z=61 (Promethium) through the prism of abstract binding energy and isobaric rules, without explaining the ontological cause of this structural failure. This article presents a unifying solution within the framework of the 4D Superfluid Vacuum Theory (SVT). We show that elementary particles are not dimensionless points, but macroscopic quantized vortices in an incompressible 4D superfluid with zero viscosity. Stable atomic nuclei represent vortex clusters locked in symmetric fractal attractors (KIFS) that minimize the hydrodynamic resistance of the medium. The Z=43 anomaly is identified as a state of extreme "topological frustration," where the inability to form a closed subgroup of SO(3) and SO(4) rotations leads to local cavitation of the acoustic metric of the continuum, destructive interference of the pilot wave, and inevitable phase bifurcation (radioactive decay).
Fields of Study & Subjects
Advanced Mathematical Theories and Applications
Cold Fusion and Nuclear Reactions
Nuclear physics research studies
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 27 February 2026
- Language
- EN
- Document type
- Preprint