Minimal Axiomatic Core of Correlative Structure Theory (CST)

Key Points

• The aim is to define a minimal axiomatic core for Correlative Structure Theory by establishing essential structural principles.
• Outline the three structural principles of CST.
• Discuss correlative invariance under admissible transformations.
• Examine spectral accessibility through the rank of positive semi-definite operators.
• Analyze intrinsic order arising from strict spectral rank loss in hierarchical projections.
• Identified three key structural principles of Correlative Structure Theory.
• Demonstrated the importance of correlative invariance in transformations.
• Established the significance of spectral accessibility based on operator rank.