NSk--VisGeom Geometric Readout of Observed Mass in the NSk/𝜓 Program

We develop NSk--VisGeom, the geometric readout module of the NSk/ψ program, whose task is to describe how generated mass is transformed into observed mass under a structured visibility mechanism. The module does not redefine the gravitational source side. Instead, it builds a theorem-level readout framework in which observed mass is represented as the image of generated mass under a geometric readout operator, and in which the readout loss is encoded by a visibility-loss functional. The deductive core is organised in layers. PRE-PURE introduces the minimal language of readout, visibility loss, and family-level comparison. PURE develops the admissible class of visibility-loss functionals, proves the representation of the readout operator through the visibility-loss mechanism, and establishes the structural necessity of a mixed mechanism. CORE formulates the reconstruction contract ReadoutToSourceGate, which legalises the passage from the readout side to the source side under explicit conditions. EXEC provides the canonical q3D realisation and the associated directional and local diagnostics. A central consequence of the module is the strict separation between observed mass and gravitational source mass. Raw readout does not by itself constitute admissible Poisson-source input. Only a reconstruction satisfying the ReadoutToSourceGate contract may be used downstream on the source side. In this way NSk--VisGeom provides a self-contained geometric readout theory together with a formally controlled bridge to NSk--Gravity, while leaving the definition of gravitational source mass to the gravitational module itself.