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A unique but flexible space–time could challenge multiverse theories

Abstract : In a previous paper (Guillemant et al., 2018), we have shown using a 2D billiard toy model that the propagation of uncertainties resulting from space–time discretization leads to a classical multiverse. In this one we estimate the growing law of the number of its branches, thanks to an original shock indexation method that permits a very fast comparison of trajectories. For different involved parameters we use random sets of infinitesimally perturbed initial conditions. From each set, we compute a collection up to hundred millions of different billiard histories. Our main result is the calculation of a Brownian saturation time when the number of branches begins to exceed the total number of billiard states. We discuss the possibility suggested by this result to change locally the paths of objects without changing their past and future histories and then subverting their global system. We conclude that a unique but flexible space–time could compete with the current many-worlds interpretation claiming that each branch is a different universe.
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Submitted on : Monday, January 13, 2020 - 3:44:15 PM
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Guillemant Philippe, Medale Marc. A unique but flexible space–time could challenge multiverse theories. Annals of Physics / Ann Phys (New York); Annals of Physics (New York); Ann Phys (U S A ); Ann Phys (Leipzig), 2019, 409, pp.167907. ⟨10.1016/j.aop.2019.05.005⟩. ⟨hal-02437160⟩

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