In this book a detailed description of our Expansive Nondecelerative Universe model is presented. The ENU model represents an alternative to the present ΛCDM cosmological model. The ENU model does not require any inflationary phase of the Universe expansion, the existence of dark energy, the Big Bang and singularities. According to ENU model, the Universe is infinite both in time and space. Probable explanation of dark matter is offered. The Universe wave function is defined. Introducing and applying Vaidyan type metric, the ENU model is able to localize and quantize gravitational energy. The ENU model closely relates to elementary particles and dimensionless constants of the fundamental physical interactions. The mass of Higgs boson, calculated by means of the ENU model before its discovery is in excellent agreement with the value derived from experiment. Moreover, the mass of the axion and the value of electric dipole moment of the neutron are calculated. The relation to the holographic principle and mathematical perception of reality are discussed.