"Defining Inertial and Gravitational Accelerations" Basis physics texts define acceleration as the second derivative of position with respect to time (d^2*L/dT^2) or, in more straight forward language as the rate of change of the rate of change of position with respect to time. This experienced directly when one is in an automobile which is increasing its speed. The speed, which is the distance traveled in a given time, increases as time passes and, for a constant acceleration, the distance traveled increases in proportion to the square of the elapsed time. When one considers gravitational an unfortunate semantic problem arises. Quite often the force applied to the seat of your pants by your chair is asserted to be the acceleration of gravity. This assertion is false and apparently leads to confusion. The force one feels is not the acceleration of gravity but rather is the force which would produce the downward acceleration (the second derivative of elevation with respect to time) which we call free fall. The force you feel against the chair a force which opposes the force of gravity, it is not the acceleration of gravity. This acceleration only occurs when you are in free fall and hence cannot sense the force of gravity, It is this careless of definition which allows theoretical physicists to assert that there is no force of gravity an what we consider to be the force of gravity occurs because the chair restricts you from following a null geodesic path around the center of the Earth. What the theoreticians have done is to combine two independent effects which interact (inertial and gravitational acceleration) into a single entity which they falsely assert to be fundamental. |
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