Two types of data in the world probabilistic and measured

Our physical world can be converted to a set of variables. All physical phenomena can be represented by such a set. If we are careless in evaluating variables there will be duplicates, or a single variable can fully represent many other variables.

observing reduces number of free variables
free variables of quantum physics
free variables are quantum variables that is probabilistic but do not have a fixed value
Delayed choice and quantum eraser - before and after is also affected

We need to find a barrier or mark where number of free variables exceeds it, it shows wave qualities, otherwise shows particle qualities, or visa versa. This mark may have links to plank's constant.

World can be represented by data it consists of or all the variables or attributes it is made up of. Some of all this data is repetitions. When we compress this data removing repetitions we get clean data. This data can be considered as baskets of data, each basket is different, and in each basket we can put all the repetitions. There will be a finite number of baskets in the universe. The number of baskets cannot be infinite - This is an assumption, it's validity has to be considered later. Measuring data is a necessary in order to put it in a basket. There is another kind of data where values are not fixed. This data exists as probabilities. Any data measured will cease to be probabilistic data, and will become fixed data that can be put in a basket. Data in a basket can become loose after any change, that is a collision with something else and becomes probabilistic data.

 A free electron is a probabilistic until it is measured. A slow moving or stationary electron displays particle aspect because of ease of measurement. A fast moving electron displays wave aspect because of difficulty of measurement. The measurement involves uncertainty principal.

These baskets of data are quantum in Quantum Theory.

I have come across a new paradox related to delayed choice and quantum eraser. According to experiments performed, when measurements are made after electrons or light passing the double slit, the wave aspect disappear and particle aspect is surfaced. And appropriate patterns appear in the final screen. Further, when the information which slit the particle passed is erased the fringe pattern reappears. Their is a big paradox here, because what happens in the final screan is also a measurement. Therefore a fringe pattern can never appear, and only particle aspect should be available. Therefore it cannot be measuring alone that changes the aspect of the particle measured. It is important to understand that it is not measuring but the knowledge which slit the particle/wave went through that matters and not the action of measuring. This knowledge depends on the variables that we know, or in other words the amount of data that can be captured. When we increases the knowledge of the system it behaves like particles, when we decrease the knowledge it behaves like waves. The main point we need to know the threshold where this shift happens.
It is necessary to understand it is not the measurebility that matters, the act if measuring need to be done, then knowledge need to be gained from the measurement. If it is possible to destroy the knowledge even after measuring wave aspect reappears.

Another explanation is that whether it is a particle or wave it goes through both slits and that information is stored in the particle, and it is used in the final result. This is hidden variables and Bell's inequalities prohibits it.

The important aspect of all this it is not the measurement of the variables that matter but the knowledge of the values of the variables. Even after measuring, if the record of variables are destroyed, the entity can become a wave.
Therefore the entity is a wave if knowledge value of path information is zero until the ultimate destination of the entity. In the ultimate destination i.e. when the fringes were formed the wave aspect ceases to exist and value of particle aspect becomes 100%.

The above shows a wave created at point A travels to B where the double slit is present, at C information about path is made available. From C to D no fringe pattern. Then it travels from D to E, at D, all path information is destroyed and fringe pattern reappear. From C to D if we insert a screan only two fringes appears, but from D to E fringe pattern is shown. Several points need to be emphasize about the fringes from D to E, this fringe pattern is not a new pattern but just a continuation of the effects of B to C. There is no difference in the phase of the wave. D to E part is acting as if there was no C to D part, rather C to D is just continuation of B to C part.

The conclusion that can be derived is that when the entity passes the double slit at B it has a dual quality as a particle and as a wave. Only contradiction here is when considering classical principals how can a particle can go through two slits at the same instant-note that a detector says the particle went through one slit. If we do away with this principal and accept that even a single particle can go through two slits at once - in particle from at one slit and some other form, may be wave form, at the other slit, what happens can be explained. At C when we get more information about the entity, i.e. which slit the entity traveled it becomes a particle, but though it goes through one slit as a particle some part of it goes through the other slit. The information about two slits never gets destroyed. At D, when the action of eraser is performed, all information becomes normal.

I need to check on one other aspect of the double slit experiment. Suppose a glass block is placed in front of one slit, what will happen? The answer is there will be a shift of the fringes due to the velocity of light difference and travel paths of the two slits are different.
This can be contrasted with a electron gun experiment. Electrons shows fringe pattern even when the gun is slowed down to emit one electron at a time.
The main thing here is in electromagnetic waves the phase difference matters and in particle waves or probability waves it does not matter!!
If quntization is a common phenomena to all energy, how is this difference explained.