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A central aim of theoretical physics is to account for the structure ofmatter at the most elementary level as underlying the Standard Model ofparticle physics, and ideally also as a basis for a substantial dark sector, asdistributed in 4-dimensional spacetime. A broad class of theories augment theglobal 4-dimensional spacetime arena itself to a higher-dimensional spacetimestructure, with the properties of matter then deriving from the properties ofthe extra spatial dimensions. We motivate an alternative approach in which webegin with the local structure of 4-dimensional spacetime and augment the localform for a proper time interval. The symmetries and properties of the residualcomponents, over the local 4-dimensional spacetime form, are found to exhibitappropriate features to account for the visible Standard Model sector while inparallel direct connections can also be identified with dark sector models.

Generalised Local Extra Dimensions as a Basis for the Elementary Structure of Matter