Finite Screen Spacetime: Entropy-Response Geometry from Causal-Screen Ledgers

This paper presents the v1.3 release of the FDS--G1 Complete Series, a finite-screen entropy-response framework for gravity, late-time dark-sector residuals, and the matter-sector extension developed in Companion G. The program treats the primitive gravitational object not as a smooth metric field, but as a finite causal-screen entropy ledger whose integrable hydrodynamic response gives rise to effective spacetime geometry. The series develops this idea through a Core paper, Companions A--F, a data-facing G1DE-M3/4 / G1fit-real likelihood paper, a D0--D10 closure sequence, and the new Companion G on finite distinction carriers and dark-matter ontology. The v1.3 release preserves the v1.2 body-integrated theory-hardening architecture and adds Companion G as the matter-sector / dark-matter ontology companion. The v1.2 hardening layer integrated finite-ledger representation, causal-measurement protocol, retarded finite-response kernels, modular-response targets, entropy-admissibility filters, and mainstream mu/Sigma production-interface modules across the Core, Companion, and D-series papers. Each new theoretical item remains explicitly marked by claim type, such as definition, admissibility rule, conditional theorem target, open lemma, empirical protocol, or demotion rule. These additions sharpen the bridge program without claiming a completed microscopic derivation of gravity. The current leading empirical dark-sector branch remains the projection-locked G1DE-M3/4 model. In this branch, the leading late-time residual is assigned to the Weyl/lensing channel while the Ricci/growth channel remains suppressed: (s M_kappa > const-Sigma > G1DE-2 > G1DE-1 > CPL > LambdaCDM), with all models using the same medium-prior configuration and (d log Z=0.1). In this audit, the locked branch exceeds the free-kappa control by (Delta log Z=0.856), constant-Sigma by (Delta log Z=1.775), G1DE-2 by (Delta log Z=6.523), G1DE-1 by (Delta log Z=7.402), CPL by (Delta log Z=9.603), and LambdaCDM by (Delta log Z=11.884). The earlier mixed-provenance and three-seed exact-pilot audits are retained only for provenance and are superseded for model ranking by this production-refined table. The v1.3 matter-sector increment is Companion G and the G1DM-C0 strengthening section. Companion G introduces a source--response--optics decomposition of dark-matter phenomenology. Its conservative diagnostic is (T^D_{mu nu} != 0), (mu_grav ~= 1), and (D^{S8}_{optics} != 0) at compressed-proxy level. The first term records a carrier/source floor, the second records suppressed leading growth leakage, and the third records an independent low-redshift optics/structure-pressure proxy. This is not a completed dark-matter model, a particle identity for dark matter, or production-level multi-probe confirmation. It is a sparse diagnostic layer for separating carrier-source, response-residual, and Weyl/optical channels. Two standalone G1DM data-note supplements support this v1.3 matter-sector layer. The Note 1+3 technical note reports a Planck carrier-floor diagnostic and DESI DR1 growth-leakage diagnostic, supporting (T^D_{mu nu} != 0) and (mu_grav ~= 1). The v0.3 S8 proxy addendum adds independent compressed S8 proxies from KiDS-1000 and DES Y3, supporting an optics / low-redshift structure-pressure component at compressed-proxy level. Both notes explicitly remain compressed diagnostics, not production 3x2pt likelihood results. Companion G therefore functions as an ontology and diagnostic companion, not as a completed replacement of the CDM sector. G1DM collapses back to ordinary CDM ontology if a CDM-like carrier with (w_D=0), (c_s^2=0), and (sigma_D=0) remains sufficient and no stable response or optics residual s