Beta Hypothesis: Relativistic dynamics as an effect of a geometric constraint

The Beta Hypothesis proposes a geometric reformulation of relativistic dynamics, where mass, energy, and momentum are not fundamental entities but manifestations of a local constraint imposed on the trajectory of a particle in a space with internal structure. The model considers physical space as a fiber bundle composed of ordinary spacetime and an additional cyclic internal dimension, along which the particle undergoes an additional wave-like motion.The central constraint of the model precisely links the observable motion component and the internal one, imposing that the total velocity in the fiber bundle is constant and equal to c. This condition is not related to transformations between observers, but constitutes a local physical law that structures the particle's dynamics.In this framework, rest mass is not a primitive property but identifyes with the frequency of internal rotation. Inertial mass emerges when the energy imparted to the particle cannot change its internal dynamics because of angular momentum conservation within the fiber. Instead, this energy is converted into translational motion, resulting in inertia.Relativistic effects such as time dilation and length contraction follow as natural consequences of the constrained geometry, without invoking Lorentz transformations or a global spacetime metric.The article develops this approach, proposing a unified and coherent vision of mass and energy as geometric effects, laying the foundation for a natural extension in a wave-like and quantum framework.