Resonant Recognition Model analysis of cGAS: conserved spectral frequencies and a divergent naked mole-rat phase signature

Background: Cyclic GMP-AMP synthase (cGAS) is a cytosolic DNA sensor with additional noncanonical nuclear functions, including suppression of homologous recombination (HR) in humans. In the naked mole-rat (NMR), cGAS instead promotes HR through a FANCI-RAD50-dependent mechanism, a functional reversal attributed to four C-terminal amino acid substitutions. Whether such functional divergence is reflected in primary-sequence-derived spectral features is unknown. Methods: We applied the Resonant Recognition Model (RRM) to cGAS sequences from fourteen mammals and to FANCI sequences from eight species. Sequences were converted to numerical series using EIIP values and analyzed by discrete Fourier transform; consensus spectra were generated by point-wise multiplication of individual power spectra. Phase differences between cGAS and FANCI were computed at frequencies of interest. Spectral amplitudes at the dominant shared frequency were correlated with body mass, lifespan, and lifespan-to-body-mass ratio. RRM frequencies were converted to electromagnetic wavelengths using the Cosic formulation (λ = 201/f_RRM). Results: The cGAS consensus spectrum contained four prominent peaks (f = 0.0392, 0.0765, 0.2539, 0.4229), with 0.2539 dominant. Three FANCI peaks (0.04138, 0.2479, 0.4332) were close to cGAS peaks, and the combined cGAS+FANCI consensus retained peaks at 0.2539 and 0.04077. Spectral amplitude at f = 0.2539 correlated with body mass (r = 0.647, p < 0.05) and with lifespan-to-body-mass ratio (r = −0.677, p < 0.01); the NMR showed the lowest amplitude. Human cGAS-FANCI phase difference was 3.1297 rad, 0.0118 rad from opposition, satisfying the RRM interaction criterion; the NMR cGAS-FANCI pair gave 1.7319 rad, approximately π/2, which does not satisfy the criterion. Conversion of the dominant frequency yielded a predicted wavelength of 792 nm (378.5 THz), in the near-infrared range. This prediction is testable in transparent vertebrate models: zebrafish respond to NIR light, and red-light pre-treatment has been reported to improve survival after lethal gamma irradiation in zebrafish embryos. Conclusions: RRM identifies conserved spectral features in cGAS consistent with a cGAS-FANCI relationship, and amplitude at the dominant frequency varies with life-history traits. The phase analysis does not support a direct interaction signature for NMR cGAS-FANCI, a negative result consistent with a chromatin-mediated mechanism. The cross-species phase comparisons suggest that NMR FANCI, not only NMR cGAS, may contribute to the distinctive interaction mode. The predicted 792 nm wavelength provides a concrete, experimentally accessible parameter for testing whether RRM-derived frequencies can modulate radiation resistance in a transparent vertebrate model. These results are hypothesis-generating and require experimental validation.