Applied Mathematics > Vol.5 No.16, September 2014

Caesar P. Viazminsky, Piere K. Vizminiska

Department of Computer Engineering, University of Detroit Mercy, Detroit, USA.
Department of Physics, Illinois Institute of Technology, Chicago, USA.

In earlier papers [1]-[4], it was shown that the consistency of the concept of time with motion requires time and distance to be of the same dimension, and thus measured by the same unit. The arising reduced system of units revealed that mass and energy were only different facets of one entity, and resulted in the well-known mass-energy equivalence formula as a natural consequence. The physical space can be identified with any inertial frame, but when it comes to comparing the results of measurements in two frames, or more, only one frame, say S, can be taken stationary and identified with the physical space, whereas all other inertial frames are moving relative to S. The equivalence of inertial frames as sites of one physical world implies that an intrinsic units system of length, time, mass and charge should be defined in terms of basic constituent physical blocks that have the same identity in all inertial frames. A basic feature of the universal space and time theory (UST) is that the same one time prevails in all inertial frames. The scaling transformations (STs) that relate the geometric distances in two frames, S (s) when chosen the stationary frame, are derived, and applied to explain the Doppler’s effect. The time distance between a moving object in S and an observer depends on its state of motion; and the Euclidean form of the STs is employed to explain arrival of some meta-stable at the earth’s surface despite its short lifetime. The quantitative predicted Doppler’s effect, which is in a striking agreement with the Ives-Stilwell experimental results, coincides with the relativistic prediction for longitudinal motion, but yet predicts a complete absence of a transverse effect at a right angle. In coming parts of this work it will be shown that the UST explains elaborately the drag effect, stellar aberration, and produces naturally the relativistic mechanics. The UST will also be completed through deriving the scaling transformations of the second type, by which the null results of Michelson and Morley experiment, Michelson and Gale experiment, and the Sagnac effect are explained. The current work and our intended future works in UST are new versions containing basic conceptions and visions that didn’t appear in earlier versions [1]-[6].

Reduced System of Units, Intrinsic Units, Universal Time and Distance, Mass-Energy Equivalence

Viazminsky, C. and Vizminiska, P. (2014) On Universal Space and Time. Applied Mathematics, 5, 2530-2546. doi: 10.4236/am.2014.516243.