Geometric–Structural Layer Closure (Pasev) III: Structural Consistency, Limitations, and Closure

This work completes the initial phase of the Geometric–Structural Layer Closure program by establishing consistency, closure, and structural limits of the framework.

The system is shown to satisfy:

• Internal consistency  
• Closure under defined operations  
• Absence of infinite regress  
• Compatibility across all layers  
• Structural completeness within defined scope  

The domain of applicability is explicitly defined as systems admitting:

• Well-founded hierarchy  
• Fibered structure  
• Invariant-preserving transformations  

Limitations are identified, including the absence of:

• Quantum structure  
• Dynamical equations  
• Explicit symmetry groups  

The framework is formally classified as a pre-physical geometric–structural system.

This document establishes the framework as a closed mathematical system suitable for extension under controlled conditions.