Einstein dealt a lethal blow to Weyl’s unified theory by arguing that Weyl’s theory was at the very best—beautiful, and at the very least, un-physical, because its concept of variation of the length of a vector from one point of space to the other meant that certain absolute quantities, such as the “fixed” spacing of atomic spectral lines and the Compton wavelength of an Electron for example, would change arbitrarily as they would have to depend on their prehistories. This venomous criticism of Einstein to Weyl’s theory remains much alive today as it was on the first day Einstein pronounced it. We demonstrate herein that one can overcome Einstein’s criticism by recasting Weyl’s theory into a new Weyl-kind of theory were the length of vectors are preserved as is the case in Riemann geometry. In this New Weyl Theory, the Weyl gauge transformation of the Riemann metric g_μν and the Maxwellian electromagnetic field A_μ are preserved.