Vernadsky Riemann Dimensionality: an Illustration

The recent finding by Johns Hopkins researchers that rhomboid enzymes travel beyond the cellular "speed limit" is illustrative of the unique manner in which biophysics is of a higher qualitative "dimension." That principle is of profound importance for the epistemology of science. For in dealing with space per se, we must distinguish from pure imaginary mathematical space and the functional living qualities of biophysical and noetic space and the interactions among these "realms."

As background, I recently posed the question of why humanity was at a kind of intellectual bottleneck or stultification on the issue of the planetary motions for centuries. One might be tempted to locate the answer in the necessary technological prerequisites not having been developed for accurate measurements of heavenly motions. However, this would be akin to missing the forest for the trees. Because the degrees of freedom required for society to break the bounds of prior constraining limits cannot be attributed to mere epiphenomena of a revolutionary change in its perspective underlying axioms.

The issue is that the historical mythological blinders imposed by the oligarchy were finally shattered enough to provide a freer rein to the creative potential of humanity. The classical Greek philosophers were certainly asking the right questions about hypothesizing the nature of planetary motions, inter alia, and most importantly the nature of the ruling ideological limitations of their society. What about the organization of their society allowed for a Socrates or Plato to so severely challenge the control of oligarchy?

Plato's dialog regarding the universality of human reason, The Meno, set the stage for what Augustine exemplified as the new dispensation. If a mere slave boy can recreate the most profound geometrical proofs independently of anything other than an internal dialog, the cult of the Pantheon of the gods must crumble and give way. The Promethean intellectual fire that the school of Athens lit would not be doused over the centuries, but reignite time and again in a ever yet more qualitatively powerful incarnation.