Abstract
In this article we present a new outlook on the cosmology, based on the quantum model proposed by Michael and Hall (Phys Rev X 4(1–17):041013, 2014). In continuation of the idea of that model we consider finitely many classical homogeneous and isotropic universes whose evolutions are determined by the standard Einstein–Friedmann equations but that also interact with each other quantum-mechanically via the mechanism proposed in Michael and Hall [1]. The crux of the idea lies in the fact that unlike every other interpretation of the quantum mechanics, the Hall, Deckert and Wiseman model requires no decoherence mechanism and thus allows the quantum mechanical effects to manifest themselves not just on micro-scale, but on a cosmological scale as well. We further demonstrate that the addition of this new quantum-mechanical interaction lead to a number of interesting cosmological predictions, and might even provide natural physical explanations for the phenomena of “dark matter” and “phantom fields”.
Highlights
Does the quantum mechanics play any significant role in the contemporary cosmological dynamics? Could our universe as a whole behave as a quantum object? On a first glance, these questions make little sense: after all, the observable universe is an absolutely gigantic object, with the radius of the horizon estimated to be around 1028 cm
If we don’t impose any sort of initial conditions on their dynamics, it is not impossible to obtain a special solution for the scale factors of these two universes with one of them turning to zero at some moment of time t0 while the other one stays strictly positive both at and in an open neighbourhood of t0 – in Sect. 3 we show that such solutions exist
In this article we have aimed to demonstrate that the method of many classical interactive worlds interpretation (MIW) quantization can be effectively generalized for the Friedmann cosmologies
Summary
Does the quantum mechanics play any significant role in the contemporary cosmological dynamics? Could our universe as a whole behave as a quantum object? On a first glance, these questions make little sense: after all, the observable universe is an absolutely gigantic object, with the radius of the horizon estimated to be around 1028 cm. All these scale factors shall be proportional to one, special scale factor which we have called the master-factor This simple deduction (dubbed the “master-factor method”) resolves the singularity problem we just discussed, and greatly simplifies the resulting equations, and, most surprising of all, provides a very new outlook on the multiverse itself, asserting that the properties of the observable universe in a strange way depend on a point of view of the observer. These “down-to-earth” (or, “down-to-auniverse”) observers, would have their own view (which can be called a “frog’s” perspective to distinguish it from the “bird’s” perspective described above [18]), with the effective observable scale factor, density, pressure and curvature being potentially quite distinct from those observed by both the “bird” and the other “frogs” (belonging to the different universes), proving that in some way beauty, but the universe itself lies in the eyes of the beholder Equipped with both the new modified Einstein– Friedmann equations and the master-factor method, in Sect. Before we move on to these prospects, it would be a good idea to take a look a the theories that gave rise to them, namely: the De Broglie–Bohm and the Many Interacting Worlds interpretations
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