I present an axiomatically constructed model for an underlying description of particles and their interactions, in particular the fermions and gravitation. Using set axioms as a guide, qubits are the fundamental building blocks. It is proposed that the existence of fundamental laws of physics is precluded and only random events occur at the fundamental level. The uncertainty relations and the complex state vectors of quantum theory are a consequence of a Gibbs measure on random variances. This leads to a simple resolution of the measurement problem in quantum mechanics. Quarks and Leptons in 3 generations are Fock states of 4d spaces and their calculated electric charges agree with observations. In addition spin 2 massless gravitons are a 4d Fock state and is the maximum spin state for these 4d Fock states. All particles are geometric, and the dynamics of particles and Space-Time are governed by CAR algebra. One consequence of the model is the cosmological constant being a result of the modification of momentum in curved space.