Amalgamated Geometric Structure of the Local Multiverse
Igor Yu. Potemine

TL;DR
This paper models the local multiverse as a complex, time-connected collection of parallel universes within a simplified geometric framework, suggesting a multiversality of elementary particles as superstrings with multiple endpoints.
Contribution
It introduces a geometric model of the local multiverse as a time-amalgamated Lorentzian manifold, linking multiversality to elementary particles as superstrings with multiple endpoints.
Findings
Multiverses can be modeled as time-amalgamated warped products.
Elementary particles may be interpreted as superstrings with multiple endpoints.
The model implies a multiversality of particles across parallel universes.
Abstract
We consider multiverses as time-amalgamated multiply warped products of Lorentzian (Einstein) manifolds. We define the Local Multiverse as timely-connected component of our physical (3+1)-spacetime. It is a collection of ``parallel universes" with (mutually) synchronized timelines. Metaphysical considerations suggest that the Local Multiverse could be an extremely complex agglomeration with, at least, several hundred parallel universes in the Solar neighbourhood (and many thousands in galaxy bulks). In this paper we study a simplified time-almagamated globally hyperbolic model. Our picture implies the multiversality of elementary particles which are, actually, transcosmic (super)strings with multiple endpoints on parallel universes considered as D-branes.
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