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EÖTVÖS EXPERIMENT AND THE IDENTIY QUANDARY OF GRAVITATIONAL AND INERTIAL MASSES
Here is the Abstract of our recent work...
We recall that within the framework of Yarman–Arik–Kholmetskii (YARK) gravitation theory, where a purely metric approach is not particularly aimed, the identity of inertial and gravitational masses is no more imperative; these masses rather become to be linearly proportional to each other. We address to the known experiments targeted to check out the equality of inertial and gravitational masses, and mainly the familiar experiment by Eötvös; and ascertain the fact that their results do not at all demonstrate any strict equality of the masses of concern; rather they establish their linear proportionality; being at the same time, inadvertently deprived from any presumption about the determination of the numerical value for the proportionality coefficient K coming into play. Possible implications of this outcome are discussed.
Our conclusion is this:
Eötvös experiment by Eötvös, aimed to check out the identity between gravitational mG and inertial mI masses, all are inconclusive, and prove only the fact that the gravitational and inertial mass components are linearly proportional to each other, to the measurement precision, regardless the value of the velocity of the test objects and the intensity of gravitational field at the given location in space. Thus, the equality of these mass components, strongly assumed in GTR and other metric theories of gravity, at this point fell deprived of any experimental evidence. The identity quandary about the given masses totally persists through Eötvös experiment.
We would like to stress that within purely metric gravitational theories, the proportionality coefficient K relating the two mass componetns, must be exactly equal to unity; this is the necessary condition to reduce gravity to geometry of space-time. And the fact that Eötvös experiment, which aimed to prove it, does not any longer constitute any rigorous proof of it, and cannot in any eventuality be considered the doubtless experimental ground of such theories.
By the same token, we underline the factuality that Eötvös experiment cannot by any means cited to condemn theories like YARK gravity theory, which admit the inequality of gravitational and inertial masses under their linear proportionality. With the latter condition, YARK theory perfectly obeys the result of Eötvös experiment; all the more, it fully predicts the null result of it. Furthermore it makes us to realize that Eötvös experiment, no matter…
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