P01A-16-Limitations

16. LIMITATIONS

We acknowledge the following limitations:

16.1 Mathematical Limitations

1. Renormalization: The χ-Lagrangian requires full renormalization analysis
2. Coupling Constants: κ, β, λ are phenomenological—need deeper derivation
3. Φ-Field Dynamics: Full field equations for Φ need further development
4. Quantum Gravity: Full χ-gravity coupling awaits quantum gravity resolution

16.2 Experimental Limitations

1. Direct χ Measurement: No current technology can directly measure χ-field
2. Grace Function: Quantifying “moral coherence” remains challenging
3. Cosmological Tests: CMB predictions require advanced statistical methods
4. Scale Limitations: Framework untested at Planck scale

16.3 Theological Limitations

1. Free Will: Mechanism for libertarian agency not fully specified
2. Evil: Mathematical description of moral evil remains incomplete
3. Trinity Mapping: Full formal treatment of perichoresis pending

These are research frontiers, not fatal flaws.

Ring 2 — Canonical Grounding

• Quantum Field Theory ANALYSIS
• Dissipative Quantum Dynamics
• Einstein Field Equations

Ring 3 — Framework Connections

• Ten Laws — Canonical Equations
• Master Equation Index

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Canonical Hub: CANONICAL_INDEX