Embedding Deformed Minkowski Space in a 5D Riemann Space

Both the analysis of the physical processes considered in deriving the phenomenological energy-dependent metrics for the four fundamental interactions, and the experiments discussed in Part III, seem to provide evidence (indirect and direct, respectively) for a breakdown of LLI invariance (at least in its usual, special-relativistic sense). But it is well known that, in general, the breakdown of a symmetry is the signature of the need for a wider, exact symmetry. In the case of the breaking of a space–time symmetry – as the Lorentz one – this is often related to the possible occurrence of higher-dimensional schemes. It will be shown that this is indeed the case, and that energy does in fact represent an extra dimension.