Causal Memory Gravity VII: DESI Compressed Benchmark and Full-Shape Nuisance-Profile Constraint

Causal Memory Gravity VII presents the main observational test of the linear CMG framework using DESI DR1 growth and full-shape clustering data. The compressed six-tracer ShapeFit analysis gives a growth amplitude of 0.9962 ± 0.0437, only 0.086 standard deviations from the GR prediction. The difference in chi-square is negligible, so DESI DR1 does not prefer CMG over LambdaCDM. The paper also computes the DESI survey response to scale-dependent CMG growth. This turns the measured growth amplitude into a concrete degeneracy curve in the parameters eta and beta_IR, rather than a unique parameter point. An independent multi-start full-shape analysis, with nuisance parameters refitted at every CMG point, gives compatible one-sided 95 percent limits of approximately 0.015 to 0.032 on eta in the DESI-sensitive regime. The lowest sampled beta_IR scale remains unconstrained. The result is clear: the tested linear CMG sector is compatible with DESI DR1 only close to general relativity, but it is not statistically preferred over LambdaCDM. The paper also includes a separate test linking CMG cosmological backgrounds to the DESI DR2 BAO likelihood. A full CMG Boltzmann treatment, joint cosmological likelihood, and nonlinear screening calibration remain open. For the full CMG corpus, theory map, and related materials, visit: https://cmg.beogradpc.com/