New Interpretation of Schrödinger's Equation
In a microscopic world, things look different. It looks like we are observing something very far.
In this world, every material body has almost no size. But they constitute an atomic nucleus and an atom that has a diameter of about 10^-10 meters. With so many atoms, a material object comes to have a visible size, such as a golf ball. To move a golf ball, we have to give an impact to it with a golf club. But in the macroscopic world, an elemental particle such as an electron has only a size of 10^-22 meters and a mass of 9.1 x 10^-31 kg. To move an electron, we need a new kind of force in addition to attracting force and electromagnetic force.
This new force decides where an electron moves while it is subject to attracting force and electromagnetic force. But it does not provide a deterministic course of movement of an electron. It provides possible locations an electron can move and arrive at based on probabilities. Or more specifically, an electron is allowed to move to and exist in any places in a space according to a probability each location has for existence of the electron. And this probabilities follow a shape of a wave.
In the macroscopic world in the size of, say, about 10^-22 meters to 10^-10 meters, an electron receives attracting force and electromagnetic force to move to a certain direction. But a specific course it takes and specific locations it passes are decided by this new force that moves the electron to any spot in a space according to a probability specified to each point in the space.
However, these probabilities change over the space as if they constitute a wave, the values of the probabilities change like a wave. Accordingly it can be split into two waves and then interfere with each other. The values of the probabilities in the space look like sometimes showing an interference of two waves. That is why an electron which passes two slits can result in showing its position on the screen behind the slits like a wave form after many trials.
If the electron is only influenced by attracting force and electromagnetic force, the pattern on the screen must be more converged on one or two points. It shows new force works on the electrons being pushed out toward the slits and the screen.
If an electron passes through either of the two slits, it has the same pattern of probabilities of its existence in the space that results from work of the new force. You cannot tell which slit an electron passes, but it arrives at a location on the screen depending on a probability that is decided by new force. And after many trials, it shows the pattern of a wave, since the probability changes in the shape of a wave.
But if an electron receives attracting force or electromagnetic force that is applied at the slits to see which slit it is passing, the way in which new force works on the electron changes. Accordingly, the pattern of probabilities change. It will take a shape of a new wave. But as the electron has already passed a slit, the new wave will not interfere. But if another pair of two slits is placed between the original pair of slits and the screen, the new wave of probabilities come to be split into two waves and interfere with each other. Again, a wave pattern appears on the screen.
The key is the nature of this force. It works between the very small particle, that is an electron in this case, and the space. And the way the force works on the electron changes each time the electron receives other known types of physical force such as attracting force and electromagnetic force. But the electron always has interaction with the space. It always receives this new force, resulting in movement according to probabilities of existence generated by the new force.
And in one special case where a pair of two electrons is generated simultaneously so that they have the same mode of interaction with space, if one of the pair passes one of two slits to reach a screen, the pattern it forms there after many trials depends on how another paired electron flying to a direction not toward the screen is observed or it receives attracting force and electromagnetic force for observation.
If the second electron is not observed and then the first electron is observed on the screen, the first electron shows the interference pattern on the screen when observed, since the wave form of probabilities is preserved on the screen no matter how long it takes.
But, if the second electron is observed and then the first electron is observed on the screen, the first electron does not show the interference pattern on the screen when observed, since the wave form of probabilities for the first electron is broken on the screen when the second electron is observed somewhere in the space and thus no interference of the probability waves is possible any more.
So, it is the new force working between an elemental particle such as the electron and space but not a so-called "quantum sate" that should be recognized. And it has a mode that is preserved till the elemental particle receives other known types of physical force such as attracting force and electromagnetic force. One mode has its own pattern of probabilities of existence each of which is assigned to each point in space. The elemental particle receives this new force from space and moves to any point of the space according to the value of probability. And the values of these probabilities are distributed in the space in a shape of a wave.
This new force can also work on any physical properties of an elemental particle such as spin. The direction of a spin of an elemental particles can be upward or downward according to probabilities taking a shape of a wave.
I this case, the spin has surely either an upward spin or a downward spin according to a value of probabilities. Conversely, when we observe it, we can see a result of work of the new force at a certain probability to make the spin upward or downward. Immediately before our observation, the particle might have an upward spin as a result of a certain probability coming true, but when we observe it, it might be found downward as a result of another probability coming true.
We have to admit that what the wave derived from Schrödinger's equation is not a state or a combination of states but force between an elementary particle or a center of energy and space on which energy exists. .
*** *** *** ***
Mat 5:21 Ye have heard that it was said of them of old time, Thou shalt not kill; and whosoever shall kill shall be in danger of the judgment:
Mat 5:22 But I say unto you, That whosoever is angry with his brother without a cause shall be in danger of the judgment: and whosoever shall say to his brother, Raca, shall be in danger of the council: but whosoever shall say, Thou fool, shall be in danger of hell fire.