The Multiverse and Cosmic Procreation via Cofinsler Spaces -- or -- Being and Nothingness
Gregory W. Horndeski

TL;DR
This paper explores a scalar field theory on a Lorentzian Cofinsler manifold, proposing a multiverse model with branching de Sitter spaces, and discusses implications for matter, space quantization, inflation, and gravitons.
Contribution
It introduces a novel multiverse model based on a third-order Hamiltonian with branching FLRW spaces and continuous metrics, expanding the theoretical framework of cosmology.
Findings
Multiple vacuum solutions generate a multiverse with branching de Sitter spaces.
The metric remains continuous despite derivative discontinuities at branching points.
The formalism addresses the nature of matter and space before and after universe branching.
Abstract
In this paper I shall consider a scalar-scalar field theory with scalar field phi on a four-dimensional manifold M, and a Lorentzian Cofinsler function f on T*M. A particularly simple Lagrangian is chosen to govern this theory, and when f is chosen to generate FLRW metrics on M the Lagrangian becomes a function of phi and its first two time derivatives. The associated Hamiltonian is third-order, and admits infinitely many vacuum solutions. These vacuum solutions can be pieced together to generate a multiverse. This is done for those FLRW spaces with k>0. So when time, t, is less than zero we have a universe in which the t=constant spaces are 3-spheres with constant curvature k. As time passes through zero the underlying 4-space splits into an infinity of spaces (branches) with metric tensors that describe piecewise de Sitter spaces until some cutoff time, which will, in general, be…
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Taxonomy
TopicsCosmology and Gravitation Theories · Relativity and Gravitational Theory · Black Holes and Theoretical Physics
