Generalised proper time as a higher-order polynomial yields octonionic exceptional-group structures whose symmetry breaking resembles Standard Model matter, with full unification deferred to a predicted E8 form.
Unification in One Dimension
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abstract
A physical theory of the world is presented under the unifying principle that all of nature is laid out before us and experienced through the passage of time. The one-dimensional progression in time is opened out into a multi-dimensional mathematically consistent flow, with the simplicity of the former giving rise to symmetries of the latter. The act of perception identifies an extended spacetime arena of intermediate dimension, incorporating the symmetry of geometric spatial rotations, against which physical objects are formed and observed. The spacetime symmetry is contained as a subgroup of, and provides a natural breaking mechanism for, the higher general symmetry of time. It will be described how the world of gravitation and cosmology, as well as quantum theory and particle physics, arises from these considerations.
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Octonions in Particle Physics through Structures of Generalised Proper Time
Generalised proper time as a higher-order polynomial yields octonionic exceptional-group structures whose symmetry breaking resembles Standard Model matter, with full unification deferred to a predicted E8 form.