Thursday, May 22, 2014

"the fruit of the Spirit is love" - New Interpretation of Schrödinger's Equation (2)



Haneda International, Tokyo

New Interpretation of  Schrödinger's Equation (2)

An electron or any other elemental particle moves in space, being guided by Schrödinger's equation which shows a probability wave.

And yesterday I discussed that the equation represents force from space rather than states.

It can be illustrated as below.


When an electron is put in a quantum space, it receives force to move it from the space as sown with arrows in the figure.

However, which unit of the force it receives depends on an probability each part has.

The probability of the red piece of force to move the electron from Position A can be 0.5 at the time when the electron is at A, while the black arrow force can have a probability of 0.5.  Then, we cannot tell which direction the blue electron moves.

However, in this way, the electron can move from A to B, as if it were selecting a piece of force at every stage of the probability wave ahead.  In this figure there are three stages from A to B.

The electron can reach Position B either through the path receiving a piece of the force colored green or through the path receiving the brown piece of  force.  We can calculate each probability, but we cannot tell exactly which path the electron has taken.

One big issue is why application of the force on the electron is subject to probability.  It can be explained as below.

The force on the quantum surface changes emergence of its pieces along with time.  For example, at Position A the force changes Black to Red and then Red to Black in a cyclic manner, allowing the electron to move to either of the two directions.

Force at A: B, R, B, R, B, R, B, R...

And the probability the particle receives the Black piece of force is 50% and that it receives the Red force is 50%, too, since there are only two pieces on the wave at A.

But, when the electron takes the right route, reaching the next stage, it can receive three pieces of force: Green, Yellow, and Brown.  In this case, each piece has a probability of 1/3.

Force after Red: G, Y, B, G, Y, B, G, Y, B...

Here at a probability of 0.333..., the electron can receive the Yellow piece of force, if the moment it arrives at this wave location, the power cycle presents Yellow.

That is why we cannot expect deterministic application of force on the quantum surface of the physical or real space.  Force itself changes along with time, and we cannot tell when the particle arrives at a stage of the wave to meet which piece of the force.

This pattern of the wave, probabilities, and the force is preserved till the electron receives other types of physical force such as attractive force and electromagnetic force.  Each time the electron receives such force the whole mode changes.  And a new probability wave is formed along with a new mode of distribution of force pieces.

This wave can of course interfere when it is split into two or more by, say, slits on a wall.  And no matter which slit it passes, it follows the pattern of distribution of pieces of the force working from the quantum surface.  As that pattern can show an interference, the position the electron is found on the screen, the final place where it is observed after flying the space through slits, follows this interference pattern.

                
http://family.wikinut.com/img/8zlnmjhvlc1fv1f./The-Double-Slit-Experiment

A free electron, when moving toward two or more narrow slits, spreads out and becomes a wave. A single electron wave then goes through the slits simultaneously and -- landing on a screen on the other side -- makes (reduces into) a single dot on the screen. The second and other electrons that follow, however, do not always land on the same spot and after a while a pattern is discerned called interference (I prefer superposition). The electron superposition pattern emerges while each and every electron-as-wave moves individually through the slits, and it is then also appropriate to call it the electron self-superposition.
http://www.hyperflight.com/primer.htm


However, the electron has not become a sate of a wave, but the force in the space is distributed as a wave with a probability at each location on its each stage.




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Gal 5:22 But the fruit of the Spirit is love, joy, peace, longsuffering, gentleness, goodness, faith,
Gal 5:23 Meekness, temperance: against such there is no law.
Gal 5:24 And they that are Christ's have crucified the flesh with the affections and lusts.