Mass spectroscopy as an applied science was invented at the beginning of the 19th century. In 1898 Wilhelm Carl Werner Otto Fritz Franz Wien (1864-1928 )showed that a beam of positively charged ions could be bent by electric and magnetic field. In 1912 J. J. Thomson (who discovered the first classified elementary particle called electron) demonstrated by magnetic deflector two isotopes of neon. In 1915 Marsden detected proton emission from alpha collisions of light elements and subsequently Rutherford pointed out but did not pave the way for the eventual design of particle accelerators. In 1918 Dempster and in 1919 Aston designed more complicated mass spectroscopes for measuring the relative abundances of isotopes. However, unbeknown to these experimentalists is the theoretical fact that mass spectrum holds the key for understanding local spacetime curvature which would differ diametrically to the global curvatures described in Einstein’s theory of general relativity.

It can be observed from mass spectrographs that heavier ions are less likely to be bent or deflected while lighter ions are easily bent. Inductive reasoning would suggest that as the mass approaches zero the local curvature approaches infinity since mass and the radius of curvature are directly proportional to each other by the classical relation of the mass to charge ratio to the radius ��, magnetic field intensity ��, and electric field intensity �� given as ��/��=��²��²/2��. If ��, ��, and �� are constants then ��=����² where ��=����²/2��. Since the spacetime curvature �� is inversely proportional to �� given by ��=1/�� then the product of mass and ��² is the constant ��, i.e., ����²=�� or equivalently ��=��/��². This asserts that mass is inversely proportional to the square of the local infinitesimal spacetime curvature. It contradicts the physical assertions found in Einstein’s field equations of general relativity.