The Geometric Origin of ℏ: The Winding Number, the Quantum of Action, and the Revelation That Planck's Constant Is Not Fundamental

Key Points

• The aim is to derive Planck's constant from geometric attributes and demonstrate its non-fundamental nature.
• Derivation of Planck's constant from periodicity of the substrate potential.
• Utilization of the Substrate Winding Number Theorem to unify different quantum phenomena.
• Analysis of redshift periodicity and Bohr-Sommerfeld quantization.
• Planck's constant is derived without relying on traditional quantum postulates.
• The derived relationships suggest a unification of various quantum effects under a geometric framework.