The Vantage Principle

The Cohesion UFT draws one consequence of its scale-invariance theorem that therecord uses repeatedly and has not stated on its own: what appears as oscillation,spin or wave behaviour at one scale is rotation viewed from outside or above thatscale. This note states the vantage principle as a corollary of the theorems of intrinsicrotation and scale invariance, gives it a precise form through the projections of thefunneled spring, and fixes what the principle does and does not license. A rotation ofradius r, rate ω and advance p per turn is a spiral along its axis, a helix from the side,a sinusoid of amplitude r, wavelength p and frequency ω/2π on any plane through theaxis, and, when its turns fall below a probe's resolution, a structure with an axis, ahandedness and a fixed quantum of winding. The rate, the torsion slope and the slipcadence are the same from every vantage; amplitude, wavelength and the name givento the motion are not. The resolution that separates the vantages is the probe'swavelength against the structure's pitch, and at the electron the threshold is theCompton wavelength, beyond which a probe makes new recursions instead ofresolving the old one. Two relations of the standard account follow as projectionidentities rather than postulates: light's dispersion relation, λν = c, as the side view ofa free six-pole recursion advancing one slip length per cycle, and the de Broglierelation, λ = h/p with frequency E/h, as the side view of a trapped recursion's internalclock at ωC seen from a vantage in uniform relative motion through the recursion-ratemismatch between the two. Wave and particle are two vantages on one structure, andthe scale ratio of the series' measurement paper says which one an instrument gets.No number of the record changes; every quantity is given at its standing.