
We propose that the fundamental reality is a smooth, continuous SU(2) operator field on three‑dimensional space. Particles are not independent objects but localized topological defects (knots) in this field. Entanglement between two particles is not a mysterious non‑local connection; it is the direct consequence of a global topological constraint: the total winding number of the field over all space is fixed to zero. For a pair of defects created from the vacuum, this forces opposite topological charges and, through quantization of the rotational collective coordinates, a total spin of zero. The unique state satisfying these requirements is the spin singlet, from which the standard Bell correlations follow automatically. In this framework, measurement is a geometric projection onto the local orientation of the defect. Because the two defects are parts of a single continuous field, the two defects remain constrained by the same global topological invariant, ensuring that the correlation persists under local unitary transformations. The model provides a local, realist, and geometric alternative to the Copenhagen interpretation, resolving the EPR paradox without invoking superluminal signals or wave‑function collapse.
Quantum Mechanics
Quantum Mechanics
| selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | 0 | |
| popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network. | Average | |
| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Average | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Average |
