Special Relativity Derived from Constraint: A Pure Mathematical Derivation

Special Relativity is derived as a necessary consequence of the constraint axiom combined with geometric structure. Starting from foundational assumptions—spacetime dimension of three space and one time dimension (established via five independent paths), Lorentzian signature (established via four independent paths), and the Lorentz group as the symmetry group preserving null directions—explicit expressions for all core relativistic phenomena emerge through pure Lie algebra exponentiation. The Lorentz transformation arises from exponentiation of the generator of boosts. Velocity addition follows from group composition. Time dilation and length contraction arise from geometric transformation properties. The energy-momentum relation follows from representation-theoretic invariance. No experimental data is employed, no parameters are fitted, and no matching to known formulas occurs. The derivation demonstrates that the structure of Special Relativity is enforced by constraint combined with geometry, establishing its status as a mathematical necessity rather than an empirical discovery. Related resourcesAdditional preprints, theoretical frameworks, and ongoing work by the author are available at:https://murad-ahmadov.github.io/