Constants Without Free Parameters: A First-Principles Derivation from Projection Geometry

This preprint presents a mathematically rigorous and unified framework—golden-theoretic projection geometry—that derives all fundamental physical constants from first principles, without free parameters or empirical tuning. The theory is built on the projection of coherent information from a timeless, scale-invariant conformal boundary, governed by golden ratio resonance. Key results include: Parameter-free derivation of the speed of light, Planck’s constant, Newton’s gravitational constant, Boltzmann’s constant, the fine-structure constant, elementary charge, vacuum permittivity, vacuum permeability, and all Planck units. Emergence of spacetime, mass, gravity, quantum mechanics, and thermodynamics from a single geometric and informational principle. Explicit, testable predictions for all constants, matching experimental values to high precision. Integration and transcendence of General Relativity and Quantum Field Theory, which are shown to be emergent effective theories within this deeper structure. This work addresses the longstanding problem of the origin of the constants of nature, fulfilling the vision of Dirac, Feynman, Einstein and many others, for a parameter-free, unified foundation for physics.