The changing directions or orientation of local infinitesimal spacetime axes with respect to the universal axis can be hypothesized as the mnr Effect. mStands for mutation, nstands for nutation, and rstands for rotation. As a whole, these triple effects cannot be detected for an object as large as the entire universe. However, separately, or in combination, these effects were detected for many lesser size objects. The larger the object becomes the more difficult it is to detect all three effects simultaneously.
Although a complete r-effect of a single star in a stellar galactic system around the center could not be observed within one’s lifetime, nonetheless, its angular velocity was being measured. The hypothesized existence of dark matter was attributed to these measurements. For a single star system, in particular, the Solar System, the
r-effects of five naked eye planets were well known since the time of Kepler, Galileo, and Newton. Kepler was able to formulate his three laws of planetary motion. Galileo was able to measure the motion of pendulum and the moons of Jupiter. And the connections to conics led Newton to invent differential calculus for his monumental three laws of motion and the universal law of gravitation.
For more down to earth objects, there are some natural weather formations: cyclones, tornadoes, hurricanes, typhoons, dust devils, waterspouts, and whirlwinds. For some man-made objects: windmills, potter’s wheel, motor vehicles’ wheels, propellers of airplanes, turbines of ocean liners, and many industrial equipments, appliances, and machineries; all these have vital rotational parts from their r-effects, which include the simple tops among children’s toys and the sophisticated gyroscope.
The analyses of the other two effects of mutation and nutation are more difficult mathematically and more subtle visually. It is not the purpose of this discussion to dwell on these analyses completely but to give a few examples of their occurrence.
At the biological level, Mutation frequently appears as the emergence of new species of plants and animals with new distinct characteristics. In botanical level, nutation often appears as spontaneous movements of plant parts during growth cycles, and zoologically, the spiral growth of seashells, and in astronomy, as the periodic oscillation in the precession of the equinoxes and the earth’s axis. See http://en.wikipedia.org/wiki/Nutation.
Nevertheless, the progress of modern scientific revolution allows “almost” complete mathematical descriptions of these effects by using the quantum mechanical description of reality. This becomes the superposition of quantum states. These states are not completely continuous or discrete but ruled by a principle of completeness known as the uncertainty principle. A single quantum state is the wave function yandit is completely represented as the product of no less than 5 transformations matrices. One describing the orbital motion of the electrons, two describing the orientation of electron spins, three – the oscillation of the nuclei, four – rotational motion of the nuclei, five – orientation of nuclei spins. In quantum field theory, an additional description is to analyze the oscillation of the normal mode. But the analysis of the tangential mode could not be found or maybe nobody has done it yet.


LinkBack URL
About LinkBacks
Reply With Quote


