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This paper discovers geometric unification theory of the grand unificationand gravitational interactions and their new physics according to the generalfiber bundle theory, symmetry and so on. Consequently, the research of thispaper is based on the exact scientific bases of mathematics and physics. TheLagrangians of the grand unification and gravitational interactions areunifiedly deduced from quantitative causal principle (QCP) and satisfy thegauge invariant principle of general gauge fields interacting with Fermionand/or boson fields. The geometry and physics meanings of gauge invariantproperty of different physical systems are revealed, and it is discovered thatall the Lagrangians of the four fundamental physics interactions are composedof the invariant quantities in corresponding spacetime structures. Thedifficulties that fundamental physics interactions and Noether theorem are notable to be unifiedly given and investigated are overcome, the geometricunification theory and origins of the four fundamental physics interactions andNoether theorem are shown by QCP, their two-order general Euler-LagrangeEquations and corresponding Noether conservation currents are derived ingeneral curved spacetime. This paper further deduces QCP from symmetricprinciple. Consequently, geometric unification theory of the grand unificationand gravitation theories and Noether theorem based on symmetric principle andthe new physics are given in this paper. This paper further gives theunification of QCP and symmetric principle. Thus, this paper opens a door toboth study and give new developments of geometric unification theory of physicslaws, and using the new geometric unification theory, a lot of research worksabout different branches of physics can be anew done and expressed simpler withdifferent symmetric characters.

Geometric unification theory of the grand unification and gravitational interactions and new physics