A comprehensive framework that unifies all fundamental forces and particles through topological structures, providing a complete mathematical foundation for quantum gravity.

A rigorous mathematical proof of the essential self-adjointness of the non-polynomial mass operator, establishing its validity as a quantum mechanical observable.

An exploration of the gauge invariant properties of the Unified Topological Mass Framework, demonstrating its compatibility with existing quantum field theories.

A theoretical framework explaining the emergence of fermions and gauge dynamics from braided spin networks, providing new insights into the fundamental structure of matter.

A novel approach to predicting particle mass spectra and quantum numbers using topological braid invariants, offering testable predictions for experimental physics.

A precise mathematical derivation of lepton masses using braid topology, demonstrating the predictive power of the Unified Topological Mass Framework.

A detailed, step-by-step derivation of the Unified Topological Mass Framework, providing a comprehensive guide to understanding its mathematical foundations.

An analysis of the renormalization properties of the Unified Topological Mass Framework, demonstrating its consistency at all energy scales.

A novel approach to understanding protein folding and function through topological quantum principles, bridging the gap between physics and molecular biology.

A unified framework that integrates topological invariants from protein folding with resonance-locking dynamics in quantum coherence systems to forecast structural transitions and mass-state emergence, extending the UTMF to biological systems.