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In this paper we pose two fundamental ideas on the motion of an elementaryparticle supporting the internal "spin motion" or $\textit{Zitterbewegung}$ anda particle as concentrated energy. First, the particle moves randomly in alimited area (in a quantum sized-volume) like random vibrating system where theparticle will diffuse in a quantum-sized volume when it absorbs or emits thequantized amount of energy. The quantum sized-volume can move too and playsrole similar to the carrier amplitude, while the vibrational motion of thefundamental particle with frequency and amplitude represents a modulatingsignal. The current of diffusion process taking place in the quantumsized-volume will represent the emergence of a spin phenomenon shown by theexistence of Clifford algebra. Second, the particle is pure energy concentratedon the surface of 3 dimensional sphere-form (2-manifold without boundary).Afterward we show that by defining the particle mass as an invariant quantitybased on the two fundamental ideas, we can derive both the diffusion constantof the particle in the quantum sized-volume as $\beta = \hslash/2m$ and theSchr\"{o}dinger equation. Furthermore, by posing that the vibrational motion ofthe particle limited on the quantum sized-volume plays fundamental role as timeinterval unit (proper time or particle clock), we show that the relativisticeffects of the particle must represent atomic processes.

A New Stochastic Model of the Causal Interpretation of Quantum Theory on the Development of the Fundamental Concept of Mass