Genesis of the Three Spatial Axes and Proper Time: Re-Derivation of Readouts from the Condensate, and the Uniquely Unreadable Coordinate Time

The preceding paper demonstrated shape-invariant translation of matter packets, but supplied the position axes (a 3D register lattice) and the clock (harmonic-closure dispersion) externally. This paper re-derives both from the observables of the three-direction metastable condensate itself, and re-derives the readouts of mass-like and charge-like quantities in the same framework, stating every readout method in the text. Measured results: (1) the substance of the condensate is not three equal axes but 2+1 - one complex eigenpair (a single rotation plane) plus a dependent rotation axis (agreement with the cross product 0.987 to 0.9965, improving with N); (2) the spatial x, y axes are derived as quadratures of the plane coordinate demodulated by the proper clock - orthogonality is a construction of the readout, not a property of the substance; (3) proper time tau is the tick of a single collective clock (omega about pi/72 per step, rigid rotation of all occupied planes), enforced collectively by entrainment: clockless coherent perturbations are synchronized to the condensate clock and brought to rest; displacements of the rest component persist undamped, and motion becomes the privilege of content carrying its own clock - mass; (4) mass reads as the non-coherence det Gamma = T^2 - X^2 - Y^2 - Z^2 >= 0 of a readout pair (mathematics known from the coherence-matrix theory of polarization; our contribution is the physical identification and in-model measurement: light-like eigenmode 1.2e-7 vs condensate 3.1e-3); (5) charge separates via transmission, relative phase, and winding number. Distributions are measured: sea modes concentrate at maximal non-coherence (the sea is heavy); charge distributes over multiple quantized values and does not stabilize at plus-minus one - recorded as a known open problem; the symmetric sea is gray (particle-antiparticle balanced) while charged seeds grow particle-like content; matter-packet motion is visualized in the 4-dimensional xyz+tau readout as uniform translation (all 10 points deviation 0.000). Organizing everything on the closure cone x^2+y^2+z^2 = t^2+R^2+Q^2 = R-prime^2: the full content of observation is the three spatial axes + proper time tau + mass m + charge q, and the uniquely unreadable quantity is the coordinate time t - it appears only as the arithmetic residue or as a wide-area selection over many local clocks. Consequently, the distinction general relativity postulates - proper time is physical, coordinate time is convention - is derived from the readout structure. Dimensional sharpness is finite (ambiguity about 1/M); at N=4 the third dimension does not crystallize - the few-body (baryon) domain is cut out as a separate subject. Japanese and English full texts included.