In this paper I present a baryon intrinsic Dark Matter halo model. The model gives a correct first order galactic rotation curve, leads to the baryonic Tully-Fisher relation and to the MOND force for the weak acceleration regime. Then I show that the MOND force can be derived from the combination of my model's potential and the first law of thermodynamics in the Helmholtz energy A = U - TS formulation. In my model the MOND work is identical to the Helmholtz work. The entropy connected to the intrinsic Dark Matter halo allows the derivation of the Dark Matter force, the deviation from Newton, as an entropic force. The definition of the entropy leads to a new parameter, of dimensional degrees of freedom, added to MOND. This new parameter solves the galaxy cluster mass discrepancy problem of MOND and produces and exact relationship between the MOND acceleration and the Hubble acceleration, with cosmological implications. In my model the cosmic structure formation degree of freedom value $N = \sqrt{cH_0/a_0}=2.1$, is also the minimum mass discrepancy in the MOND cluster analysis. The realization that MOND is a theory based on Helmholtz work shifts the question regarding its relativistic formulation towards the larger problem of a relativistic formulation of thermodynamics, a highly discussed and accepted problem in physics. It touches upon the arrow of time issue.