Albert Einstein introduced the four-dimensional space-time continuum as a metric. According to this, each event is given a four-dimensional space-time vector. This is (s1, s2, s3, t * c). Here you can already see the equivalence of space and time, since the fourth coordinate of this vector is nothing other than time broken down into space.
According to the Weltformel, this can also be done for the masses. You simply break the mass down to space and thus get the fifth dimension of the space-time-mass continuum. The vector is then (s1, s2, s3, t * c, m * (Planck elementary length / elementary mass)). However, in this expression, and also with Einstein, one has to see time and mass combined. Time is actually three-dimensional, just as one has to replace the expression of the mass with a three-dimensional one. But the 5-dimensional space-time-mass continuum should already be a more suitable metric than Einstein's four-dimensional space-time continuum.
Metric of equilateral triangles
If you think about the metrics of space, time and mass, you should draw on a finding from Albert Einstein: The relativity speed of light is always the same as c, so space and time bend in such a way that it is always preserved. This shows that the metric of space must consist of equilateral triangles at the micro level. This is the only way to ensure that the quanta and especially the light quanta, the photons, move relative to each other at the speed of light.
Metric of Rotation and Lisa Randall's Hidden Universes
The current discussion in physics, especially the experiments at CERN, aim to confirm a further development of string theory by Lisa Randall and colleagues. She tries to explain phenomena at the micro level through hidden dimensions or microscopic universes. Maybe my approach is a little different. I also open up a new dimension at one point in order to secure the equivalence of space and time. So it is that if a particle only rotates and thus cannot leave its place in terms of locomotion, a dimension has to be opened in terms of rotation so that it can leave its place, although according to previous view it remains in the same place. The space would then no longer be 3-dimensional, but at least four-dimensional, with three dimensions of movement and at least one of rotation.