Jennison deduced from the rotational experiments that a rotating radius rr measured by the rotating observer is contracted by rr = r(1 − ω 2 r 2 /c 2 ) 1/2 , compared with the radius r measured in an inertial frame. This conclusion differs from the result based on Lorentz transformations. Since rotational frames are not equivalent to inertial frames, we analyze the rotational experiments by using the exact rotational space-time transformations rather than the Lorentz transformations. We derive exact rotational transformations on the basis of the principle of limiting Lorentz-Poincaré invariance. The exact rotational transformations form a pseudo-group rather than the usual Lie group. They support Jennison's contraction of a rotating radius and are consistent with two Davies-Jennison experiments. We also suggest new experimental tests for the exact rotational transformations.

We consider a new type of renormalizable theory involving massive Yang-Mills fields whose mass is generated by an intrinsic breakdown of the usual local gauge symmetry. However, the Lagrangian has a distorted gauge symmetry which leads to the Ward-Takahashi (WT) identities. Also, the theory is independent of the gauge parameter 5. We completely carry out an explicit renormalization at the one-loop level by exhibiting counterterms. defining the physical parameters, and computing all renormalization constants to check the WT identities. Our results indicate that the physical scalar can be removed from the physical spectrum and that perhaps the theory could become asymptotically free.

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Abstract-Thim measured the transverse Doppler shift using a system consisting of a stationary antenna and pickup, in addition to a number of intermediate antennas mounted on the rim of a rotating disk. No such shift was detected, although the experiment should have had enough sensitivity to measure it, as predicted by the Lorentz transformations. However, using the Lorentz transformations to analyze the results of experiments involving circular motion, while commonly done, is inappropriate because such an analysis involves non-inertial frames, which are outside the range of validity of special relativity. In this paper, we re-analyze Thim's experiment using exact rotational space-time transformations, finding that his null result is consistent with theoretical predictions.

Abstract. The natural unit system, in which the value of fundamental constants such as c andh are set equal to one and all quantities are expressed in terms of a single unit, is usually introduced as a calculational convenience. However, we demonstrate that this system of natural units has a physical justification as well. We discuss and review the natural units, including definitions for each of the seven base units in the International System of Units (SI) in terms of a single unit. We also review the fundamental constants, which can be classified as units-dependent or units-independent. Units-independent constants, whose values are not determined by human conventions of units, may be interpreted as inherent constants of nature.