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In Chapter 6 (A new state of matter: foggoid state) of the Antigravitation Engine Site, the quantum phenomenon on different scales is studied as follows.

12. Step roads and quantum phenomena on different scales

According to the quantum theory, the geodesic curve is a broken line in the shape of a step road. The curvature of the step road corresponds to the curvature of spacetime.

In the universe, most matter is the dark matter, of which large quantities are foggoids. As is stated in Chapter 2, Section 2, gfm (gravitational field matter) is the carrier of the spacetime point. Hence the rotating gfm ball of the foggoid carries the spacetime point and forms the "step" of a "step road".

The larger the scale of the gfm ball of the foggoid is, the larger the scale of a "step" formed by the gfm ball is.

At the edge of a step, there is a sudden change in spacetime geometry; there the spacetime curvature is larger, the gravitation is stronger, and hence the probability of finding particles is larger. Therefore the edge of a step corresponds to the wave crest of a wave function in quantum mechanics.

In the universe, steps on different scales correspond to quantum phenomena and quantum theories on different scales, for example, periodicity in the distribution of galaxies and quasars, and the quantum theory for planets and satellites[1].

Let j be the quantum action of the step on a certain scale. The value of j is measured from observation. On the microscopic scale, j is Planck's constant h.

Therefore there are uncertainty principles on different scales:¡¡

¦¤x¦¤p¡Ýj/(4¦Ð) , (1)

¦¤t¦¤E¡Ýj/(4¦Ð) . (2)

Irregularities in the orbit of Uranus should be attributed to Eq. (1).

Reference

[1] Yang Buen, A Guide to the Quantum Theory for Planets and Satellites, Chinese edition, 1st ed., Dalian University of Technology Press, Dalian, China, June, 1996.

For more information, please see the Antigravitation Engine Site (URL: http://xczhx.nease.net/indexEnglish.htm [Broken]).

12. Step roads and quantum phenomena on different scales

According to the quantum theory, the geodesic curve is a broken line in the shape of a step road. The curvature of the step road corresponds to the curvature of spacetime.

In the universe, most matter is the dark matter, of which large quantities are foggoids. As is stated in Chapter 2, Section 2, gfm (gravitational field matter) is the carrier of the spacetime point. Hence the rotating gfm ball of the foggoid carries the spacetime point and forms the "step" of a "step road".

The larger the scale of the gfm ball of the foggoid is, the larger the scale of a "step" formed by the gfm ball is.

At the edge of a step, there is a sudden change in spacetime geometry; there the spacetime curvature is larger, the gravitation is stronger, and hence the probability of finding particles is larger. Therefore the edge of a step corresponds to the wave crest of a wave function in quantum mechanics.

In the universe, steps on different scales correspond to quantum phenomena and quantum theories on different scales, for example, periodicity in the distribution of galaxies and quasars, and the quantum theory for planets and satellites[1].

Let j be the quantum action of the step on a certain scale. The value of j is measured from observation. On the microscopic scale, j is Planck's constant h.

Therefore there are uncertainty principles on different scales:¡¡

¦¤x¦¤p¡Ýj/(4¦Ð) , (1)

¦¤t¦¤E¡Ýj/(4¦Ð) . (2)

Irregularities in the orbit of Uranus should be attributed to Eq. (1).

Reference

[1] Yang Buen, A Guide to the Quantum Theory for Planets and Satellites, Chinese edition, 1st ed., Dalian University of Technology Press, Dalian, China, June, 1996.

For more information, please see the Antigravitation Engine Site (URL: http://xczhx.nease.net/indexEnglish.htm [Broken]).

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