1.3 Complex-Time Geometry
The principal technical applications of Ibn al-Arabi’s conception of time and creation led to the Single Monad Model of the Cosmos, but the resulting Duality of Time Theory turned this model into innovative theory of cosmology, physics and mathematics. This remarkable breakthrough was realized expressing the duality nature of time in terms of complex hyperbolic geometry, which turned out to be extremely easy and straightforward, since it relies completely on the Euclidean frame, i.e. without invoking Riemannian geometry.
The perpetual re-creation in the inner level(s) of time implies that normal time is actually imaginary or latent with relation to the real flow of time that is creating space and matter. Therefore, this genuinely complex-time will define a new discrete symmetry that allows expressing the (deceitfully continuous) non-Euclidean space-time in terms of its granular Euclidean complex-time space, whose granularity is expressed through the intrinsic properties of hyperbolic numbers.