Observation paper. From the single viewpoint of phase-space (symplectic) area, this note re-arranges and observes structures already present in standard mathematics: the Heisenberg-Gabor uncertainty relation, Robertson's inequality, the symplectic symmetry Sp(2,R) isomorphic to SU(1,1), Stone's theorem, and Wick rotation. It records (i) that the conserved action contour-integral p dq and the uncertainty are measured in the unit of the same symplectic area (though numerically distinct), with the half-integer 1/2 appearing in the Robertson floor, the Maslov index, and the SU(1,1) lowest weight as facets of the metaplectic representation; (ii) that boost = non-compact subgroup = squeeze on phase space (v/c = tanh eta); and (iii) that the imaginary unit i and the hyperbolic (sign minus) structure of Wick rotation can be re-read in the language of Stone's skew-adjoint generator, observationally equivalent to standard theory. The note does not modify standard quantum theory or special relativity, does not reject Wick rotation, and does not derive the metric signature, the imaginary unit, or the complex structure. Japanese and English versions (md/tex/pdf) plus two figures are included.
Noriaki Kihara (Wed,) studied this question.