Equivalence of Acceleration in Flat and Curved Spacetimes

This paper examines how acceleration is correctly applied to bodies for observers in various frames of reference to show an equivalence of gravitational acceleration as a worldline that follows a straight path through flat spacetime and acceleration due to energy as a worldline that follows a curved path through flat spacetime, and so also an equivalence of a uniform acceleration of a body due to energy and that of an inertial body. It also shows the equivalence of acceleration and inertial motion, the equivalence of space and time, removes gravitational singularities and shows that event horizons cannot be reached from or within any reference frame.