The Vantage Principle

The Cohesion UFT draws one consequence of its scale-invariance theorem that the
record 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 that
scale. This note states the vantage principle as a corollary of the theorems of intrinsic
rotation and scale invariance, gives it a precise form through the projections of the
funneled spring, and fixes what the principle does and does not license. A rotation of
radius 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 the
axis, and, when its turns fall below a probe's resolution, a structure with an axis, a
handedness and a fixed quantum of winding. The rate, the torsion slope and the slip
cadence are the same from every vantage; amplitude, wavelength and the name given
to the motion are not. The resolution that separates the vantages is the probe's
wavelength against the structure's pitch, and at the electron the threshold is the
Compton wavelength, beyond which a probe makes new recursions instead of
resolving the old one. Two relations of the standard account follow as projection
identities rather than postulates: light's dispersion relation, λν = c, as the side view of
a free six-pole recursion advancing one slip length per cycle, and the de Broglie
relation, λ = h/p with frequency E/h, as the side view of a trapped recursion's internal
clock at ωC
 seen from a vantage in uniform relative motion through the recursion-rate
mismatch between the two. Wave and particle are two vantages on one structure, and
the 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.