We briefly outline shorter and longer term physics motivation for constructing a dual, fast-cycling superconducting synchrotron accelerator (DSFMR -Dual Super-Ferric Main Ring) in the Tevatron tunnel at Fermilab. We discuss using this accelerator as a high-intensity dual neutrino beam source for the long-baseline neutrino oscillation search experiments, and also as a fast, dual pre-injector accelerator for the VLHC (Very Large Hadron Collider).During the past decade developments in the neutrino physics combined with progress in the cosmological models of dark matter and dark energy suggest that neutrinos play a fundamental role in our universe. It has been determined through solar, atmospheric, reactor and accelerator experiments that neutrinos change flavor (oscillate) while passing through matter. This implies that at least two neutrino species have a non-zero mass [1], thus being in a striking contradiction to the Standard Model (SM), and therefore suggesting existence of the physics Beyond the Standard Model (BSM). In addition, the possibility of neutrinos having a small mass may provide a bridge (via e.g. a see-saw mechanism) to the GUT (Grand Unified Theory -physics models where at energies above 10 14 GeV the electromagnetic, weak nuclear and strong nuclear forces are fused into a single field) theories including the origin of mass in the universe. As a consequence of this new situation a need for the resolution to the neutrino physics has risen to a level that is not just complimentary to other high-energy particle physics programs but turns out to be absolutely necessary to further understanding of the microscopic structure and workings of the universe.In neutrino physics phenomenology neutrinos with physical flavors, ν α (α = e, µ, τ), are assumed to be linear super-positions, through a unitarity matrix, of neutrino fields with definitive masses ν i (i = 1, 2, 3). A common parameterization for this matrix uses mixing angles,