The structural grain

The Eternal Consonance is an unbroken continuum, yet RSI holds that its elasticity has a firm limit. There is a minimum radius to which the medium can be bent. Bend it more sharply and the 0.73 N tension violently snaps it back.

The theory identifies this minimum bending radius with the Planck length, an extremely small distance that standard physics also treats as a natural scale. In RSI it serves as the fundamental grain of the continuum.

This grain has a direct consequence. Energy cannot be divided smoothly and endlessly. It must travel from one structural grain to the next. That step-by-step passage is what the paper calls the mandatory quantum click of the universe. In this account, the graininess of quantum physics comes from a mechanical bending limit, not from space being made of separate pieces.

The grain is the tightest fold the medium can make, the same everywhere at any one time. RSI proposes that over the cycle it grows finer and coarser everywhere at once. Because every ruler is made of knots that tighten with the fold, every local measurement of the Planck length gives the same value in every era (Chapter VI).