ψ-Phantom Geometry: Negative Retentional Echoes and the Keys of Furious Geometry

Key Points

• The aim is to establish a theoretical and computational framework for understanding negative phantom geometry in cosmology.
• Introduced subtractive retentional operators
• Developed five Retentional Keys and a full taxonomy of phantoms
• Established multi-epoch weak-lensing criteria
• Formulated mathematical lemmas
• Presented experimental protocol for detecting structural negativity in kappa maps
• Defined both positive and negative phantoms
• Demonstrated criteria for identifying structural negativity
• Validated the Structural Skeleton Theorem
• Laid groundwork for future experiments in cosmological observations