Quest for Mathematical Tools to Investigate Space-Time-Energy Properties

The scientific community is actively working to reconcile General Relativity and Quantum field theory. However, recent experimental results, suggesting that space-time can be anisotropic and asymmetric, do not align with the proposed theories. These deformations depend on energy thresholds that vary for different interactions, with the metric parameters being energy-dependent. The recent results from the James Webb Space Telescope are cited in support of an asymmetric and anisotropic space-time. These facts suggest that the violation of Lorentz invariance is of geometrical, rather than dynamical, nature. A recovery of invariance is sought after introducing energy as a fifth dimension. A complete description of the 5-dimensional space-time-energy universe is the challenge proposed.