Metrology: The Inevitable Logical Structure of Self-Referential Measurement and the Physical Ontological Foundation of Calculus

Key Points

• This research aims to establish that the laws of the physical world center on measurement rather than force or geometry.
• Derived core axioms of measurement's self-comparative nature.
• Developed rigorous proofs of key calculus concepts using physical laws.
• Explored mathematical isomorphism between time field theory state space and the unit circle on the complex plane.
• Demonstrated the physical necessity of limits, derivatives, divergences, and integrals.
• Derived nonlinear field equations that describe gravity and provided explanations for Fermat's principle and the cosmological redshift.
• Established a comprehensive ontological explanation for Euler's identity, positioning calculus as an inherent language of the universe.