Objective: To present a new geometric model for the analysis and visualization of relativistic effects, including velocity addition, gravitational phenomena, and extreme states of matter.Methods: A step-by-step analytical approach using simple geometry is employed, allowing complex concepts to be gradually understood. The method combines kinematic and gravitational interpretations. It is supported by mathematical justification and allows for experimental verification.Results: It is shown that the fundamental equality ��=��=0 arises as a consequence of the symmetric structure of spacetime. The method is consistent with relativistic formulas and enables clear computations and geometric interpretations.Conclusions: The step-by-step presentation ensures transparency of verification, reproducibility of results, and opens new possibilities for interpreting extreme states of matter and for practical applications of the model.