PRIDE CHEKERAFrom this thought experiment, Einstein concluded that as in
scenario (1) and (4), one cannot tell whether it is the force of
gravity or acceleration with cause extension of the spring. This
drove the goal of Einstein to another level, of which to achieve
he had to firstly gather some crucial mathematical technics and
laws involving acceleration and gravity. For the ten years, he
was mastering Riemannian mathematics and tensor calculus
which became the fundamental building blocks his field
equation.
Spatial topologies
Bernard Riemann was a student of the so-called Prince of
Mathematics, Carl Friedrich Gauss. Gauss topped the
Mathematics society when he expounded the non-Euclidean
mathematics of curved surfaces of 3- dimensions. In the past,
mathematicians had only been used to Cartesian and Euclidean
mathematical geometries. It was an axiom in mathematics that
angles of a triangle always add up to 180°, and parallel lines will
seldom meet. But Gauss changed this perception, he introduced
a geometry in which the angles of a triangle will not be 180°;
can be more or less than 180°C and parallel lines can converge
or diverge. Ancient mathematics before Euclid discovered his
geometry was governed by Descartes geometry of two
dimensional flat space defined by a coordinate system of two
spatial components, x and y. After 9 years of rigorous research,