## From experimental quantum optics to quantum gravity via a fuzzy Kähler manifold.(English)Zbl 1070.81118

Summary: Starting from the two-slit experiment we show that the so-called particle-wave duality could be resolved amicably by assuming space-time to be a fuzzy $$K_3$$ manifold akin to that of E-Infinity theory. Subsequently, we show how many of the fundamental constants of nature such as the electromagnetic fine structure as well as the quantum gravity coupling may be deduced from the topology and geometry of the space-time manifold.

### MSC:

 81V17 Gravitational interaction in quantum theory 53C55 Global differential geometry of Hermitian and Kählerian manifolds 83E50 Supergravity 32Q15 Kähler manifolds 54A40 Fuzzy topology
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### References:

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