Although centrifugal is a fictitious force, the centripetal is real. It exists wherever and whenever there is a uniform circular motion in smooth unimpeded continued progress. This general description applies both to the large scale structures of the visible universe such as planetary motions, stellar motions, and galactic motions; and to the small scale structures such as electron orbitals and intrinsic spins of both particulate matter and energy. Furthermore, this applicable motion in the large and in the small can be defined as a quantity called the centripetal acceleration, which can be shown to be independence of the conceptual definitions of mass, energy, and force. On the other hand, its dependence on the square of linear velocity is directly proportional and its dependence on the space-time metric is inversely proportional such that the centripetal acceleration () is defined as =/. If both sides of this equation are multiplied by the mass factor () then it is equivalent to the inertial force (Newton’s 2nd law of motion) on the left and the centripetal force on the right. Both are real physical quantities which can be measured accurately and precisely using a sensitive apparatus. These measurements were performed by Newton using pendulums of equal length but different composition and verified by Friedrich Wilhelm Bessel (1784-1846) in 1830. Then in 1889, Roland von Eötvös succeeded using a different method of torsion balance of which the best-known is that used by Henry Cavendish (1731-1810) and later by Sir Charles Boys (1855-1944) to determine the gravitational constant. Einstein was very impressed with the observed equality of gravitational and inertial mass and this result inspired him to formulate the Principle of Equivalence as the only guiding working principle for his theory of general relativity. However, during the 1960s Robert Henry Dicke (1916-1997) and his corroborations improved on Eötvös method but still failed to realize the centripetal truth hidden behind the Principle of Equivalence which in vector formats is given by •=, where is now defined as the absolute acceleration, is the same space-time metric, and is the speed of light. This states that the inner scalar dot product of the absolute acceleration with the space-time metric is equal to the square of lightspeed.


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