  The structure of the proton remains a significant challenge within the field
of Quantum Chromodynamics, with the origin of its spin and mass still lacking a
satisfactory explanation. In this study, we utilize the gravitational form
factor of the proton as the foundation for constructing the configurational
entropy of the proton energy system. In our approach we choose the holographic
QCD model for input thus obtaining a holographic version of the proton energy
density. Employing this approach, we are able to determine key mechanical
quantities such as the proton's mass radius and pressure distribution. Our
analysis yields the root-mean-square mass radius of $\sqrt{\langle
r_M^2\rangle}=0.720$ fm and scalar radius of $\sqrt{\langle
r_S^2\rangle}=1.024$ fm for proton, which are found to be in excellent
agreement with recent measurements from the Hall-C collaboration group at
Jefferson Lab. Additionally, we examine the radial distribution of pressure and
shear force within the proton. We provide a new mode for constraining
holographic model parameters in the investigation of proton structures.
