Minimal unified field theory from square root metric, fiber bundle theory and Sheaf theory.

The strong, electromagnetic, weak forces and gravity are conjectured to be unified into a single entity, square root metric. Square root metric has extra complex structure group bundle than Riemannian geometry. Two Lagrangians are constructed based on square root metric which describe the U(4) Yang-Mills theory in curved spacetime and the gravity. The Sheaf quantization method is suggested. The particles spectrum on this geometry is analyzed and has good correspondence with the Standard Model (SM) of particle physics. Four new physics on particles spectrum are pointed out. We consider this theory is a minimal effective field theory unify four fundamental forces and light up the way to the ultimate theory of nature.