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Abstract

In this dissertation, we present new concepts of spacetime and unification for physics beyond the Standard Model. Our ansatz is to decouple new physics from the electroweak scale but still provide a solution to the hierarchy problem and allow for a viable dark matter candidate. Nevertheless, we always emphasize the testability. We first motivate the decoupling of Standard Model extensions from the electroweak scale by discussing the left-right symmetric theory with the minimal number of propagating degrees of freedom to account for Majorana neutrinos. Furthermore, we motivate the decoupling by showing the viability of Majorana dark matter in the context of a minimal consistent theory of local baryon number. Combining these ideas, we then introduce the 433 theory which is based on the gauge group $SU(4)_C \otimes SU(3)_L \otimes SU(3)_R$. The 433 theory is an UV completion of the Standard Model in four dimensions which can be realized at low energy scales. As the 433 theory lacks an inherent dark matter candidate, we consider Bose-Einstein condensate dark matter as an alternative symmetry-motivated dark matter candidate. We put forward a new method to probe such superfluid dark matter with gravitational waves. After presenting a solution to the hierarchy problem and a testable dark matter candidate, we question the unique role of supersymmetry to mix global internal and external symmetries. Subsequently, we introduce a new spacetime concept and demonstrate how spacetime symmetries can father the three Standard Model generations.