Geometric Origin of Quantum Mechanics and Predictions for Future Colliders: The 3+4 Hypothesis
Year: 2026
Type: article
Abstract: I propose a geometric hypothesis stating that the imaginary units of complex numbers, quaternions, and octonions are projections of real compactified spatial dimensions of a G2-manifold onto the observable 3+1 spacetime. This leads to a predictive 11-dimensional supergravity model compactified on a singular G2-holonomy manifold known as the Holmes manifold. The Kaluza-Klein mass spectrum follows a characteristic square-root dependence with the first mode mass fixed at 7.09 TeV by the muon anomalous magnetic moment. The model predicts a vector resonance V at 7.09 TeV decaying to WW and an axial partner A at approximately 13.5 TeV decaying to WZ and Wh, both within the reach of the future FCC-hh collider. Inflation is realized as an alpha-attractor with a spectral index of 0.964 and a discrete set of tensor-to-scalar ratios originating from the underlying octonion structure. Neutrino masses arise from a seesaw mechanism with a sum of approximately 0.065 eV. The model is fully falsifiable and offers concrete experimental targets for the coming decades.
Author: Kolomatsky, Simon
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7154209147
FWCI:
Cites:
Cited by:
Related to: