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Context: The basic mathematical cliffs (scalar, vector, spinor) and the basic physical measures (mass-energy, wave-momentum, spin-information) are applied as logic foundations and linked as basic equations. While the local scalar-vector-spinor relations among mathematical cliffs and physical measures described electroweak and strong interactions, the global mathematical-physical equations interpreted gravity and repulsion, where a quantum scalar-vector-spinor (SVS) model approaches physical unification without dark sectors. Locally, Maxwell equations and Yang-Mills Fields are naturally included. Globally, Einstein-Friedmann equations characterize the total distribution of energy-momentum in space-time. A modified gravity explains ‘dark matter’ and a scalar energy with phase transitions produces ‘dark energy’. It is suggested to maintain three core principles as fundamental principles in physics, i.e. the action principle (Hamilton principle) which determines the dynamic mechanism of physical processes, the duality principle (Heisenberg principle) which produces quantum effects, and the equivalence principle (Einstein principle) which explains universal equilibrium. The verifications and developments are discussed, where three kinds of Higgs are expected, with predicting heavier Higgs around 17.58TeV and lighter Higgs around 233.7MeV, and the cosmological constant problem is naturally solved. While Newton and Einstein theories are included, the vortex-field theory balances mathematical structure and physical essence with combining micro-world and macro-universe as well.
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