Math of General Relativity - Addendum 2
Two premises predict both properties of weight and mass:
(1) The motion of objects in space, acted on by Gravity, are determined by Einstein's Geodesic Equation of Motion (GEM).
(2) This gravitational interaction between the gravitational field and objects is a DYNAMIC one.
In other words: Gravity exerts a dynamic, gripping, powerful FORCE of interaction on objects in space, making them want to keep a certain motion, as predicted by the GEM.
Otherwise, you would say that the ball is sticking to the inside of Ring World because it has mass, and a person on the street says it is because it has weight. Two non-covariant explanations. That is, they contradict the principle that motion is relative and the laws of Physics have to be the same for everyone independent of their motion.
Other conclusions: Relative to you seeing Ring World rotate, the present interpretation of GR is you are in an Inertial System with zero gravity. Sure, relative to you, the value of the gravitational field (the Metric Tensor) is a constant (that is, all 16 values of the tensor is a non-varying number), but that does not imply a LACK of a gravitational interaction. If it did, why does the GEM yield solutions in Inertial Systems?
Proving the Relativistic Energy-Momentum relation, the hard way and the easier way.
This adds the proof for the relativistic mass effects from motion, proving that gravity causes it.