CPTG SkyPi: Decoding the CMB's Geometric Structure

Research and Software Announcement This poster introduces CPTG SkyPi, a new scientific workbench developed to investigate the cosmic microwave background (CMB) through the fixed geometric relationships of Curvature Polarization Transport Gravity (CPTG). SkyPi demonstrates how the observed microwave sky can be expressed and examined within CPTG's rigid, scalable Pi-based cosmological geometry. The workbench combines real Planck temperature observations, fixed geometric comparison relationships, spherical harmonic analysis, and quantitative map reconstruction into a unified computational environment. Scientific capabilities include: Processing high-resolution CMB FITS maps up to NSIDE 4096. Support for Planck Commander, SMICA, NILC, SEVEM, SMICA-NOSZ, and Commander R4/NPIPE products. Direct visualization of observed CMB maps, CPTG geometric reconstructions, and signed residual maps. Angular-power-spectrum analysis, multipole comparisons, and geometric phase diagnostics. Official Planck masking, instrument-response handling, and reproducible numerical evidence exports. Preservation of the fixed CPTG Pi comparison spectrum across different Planck map products. The demonstrated correspondence is remarkable. In a representative Commander PR3 analysis, SkyPi achieved a spatial correlation of 0.99809, with a 6.50 µK residual RMS against an observed CMB RMS of 105.28 µK—a residual-to-observed RMS ratio of approximately 6.18%. Corresponding analyses using additional Planck processing pipelines demonstrate the consistency of the geometric comparison across independently processed CMB products. The significance of SkyPi extends beyond visual similarity between CMB maps. It provides a practical, quantitative environment for examining the relationship between observed cosmic structure and CPTG's fixed mathematical geometry without altering the underlying Pi relationships between comparisons. This poster previews the forthcoming CPTG SkyPi workbench and accompanying scientific publication, presenting a new approach to investigating the geometric organization of the cosmic microwave background. Author: Carter L Glass Jr CPTG Research Repository: https://github.com/CLG2025/CPTG Status: Workbench and Full Scientific Publication Coming Soon