Heisenberg Path Theory

Heisenberg proposed the Principle of Uncertainty. According to it there is an inherent accuracy in measuring two related parameters in connection of a particle. One of these two parameters are position and velocity. Therefore each particle with a velocity will come under this principle.

Heisenberg path is the volume that principle applies.

A volume can be created by combining all these planes

This is just a path with no mass or energy. This path, though it lacks mass and energy it has characteristics. The traveling particle associated with this path can appear in any location of the volume probabilistically. It also does have characteristics of a wave.

These characteristics change whenever an actual physical barrier is inserted to this path.

These are very similar to the action of waves. Therefore mathematically these paths can be derived by applying the characteristics of waves.

But it should be cautioned that this is not a wave. It is wrong to interpret it as have dual characteristics particles and waves - wave particle duality. Danger of doing this we tend to think that the particle is broken to parts and these parts are represented as a wave. If this wave consists with parts of the particle then it will have energy. When we think this is only a path it do not need to have energy. By thinking this way we can avoid all problems associated with this pronominal like quantum weirdness, wave  particle duality, superposition, entanglement, time traveling backwards, many worlds theory, wave function collapses when measured, observer collapses wave function, quantum eraser etc.

Quantum Theory Explained - Advice for Mathamaticians and Theoritical Physicists

1. Quantum Particle can be divided at will. For example you can use any number of beam splutters to produce parts of the particle. Each will be polarized. A single photon can be divided by a beam splitter to two polarized particles and each of these polarized particles can go through a EOM(Electro Optical Modulator) and change the angle of the polarization. Then it can be splitted again by another beam splitter to produce a new set of particles endlessly.
2. The particle being a particle is naturally   travels together as a particle.
3. By performing certain effects on the particle either naturally of artificially. Naturally when it travels near an edge of a barrier, artificially by experimenters in various methods.
4. These different parts of the particle are entangled and communicates instantly when it is realized. The realization is only one particle and which one of the parts that could be realized is decided randomly. 
5. When realized all parts of the particle are informed instantly about realization.

Only little thought is expressed about the source in the double slit experiments. I find a lot of differences that was not properly addressed in different kinds of experiments:

1. At least there are three kinds of experiments. One is of polarized light, second is of normal light and third is other particles like electrons to buckyballs-small matter.
2. These might need different kinds of explanations, because they are fundamentally different.
3. Also they have similarities, so far, only the similarities were taken into account.
4. For instance polarized light quanta is entangles before being splitted by a polariser. Then in a usual double slit light experiment it is said the fist slit will produce synchronized or inphase light. But for the electrons, no such thing at all for the electron gun that produce electrons.
5. These differences should be looked at carefully before divulging to exotic explanations like many worlds.
6. If we need to dish Theory of Special Relativity on the face of the fact certain type of messaging is possible at infinite velocities we should do it.
7. When a particle is fired at two slits, under Heisenberg principal there is an uncertainty which slit one of this particles will go through. Most of the particles will be stopped by the barrier and some will get through. Ones that go through, we cannot say which slit it went through because of the uncertainty principal. These particles can ultimately be realized as a fringe pattern. The fringe pattern is made by a single particle interacting with itself. In other words particle is divided into infinite number of parts interacting of these parts cause this fringe pattern. When at one slit a detector is placed the fringe pattern disappears. The reason is in the action of detection all these multiple parts comes together and gives a reading of it's presence. Then it will carry on with an infinitesimal less momentum towards the screan. This particle is capable in breaking to different parts again. but it will need another double slit to go through to make a fringe pattern.
8. A single photon is splitted to two perpendicular polarized beams. Then each beam will carry a part of the photon. These two beams cannot interact because they are two independent streams separated by a barrier. It will act like a physical barrier where photons travels in two channels. In this case no fringe pattern appears. When we allow these two beams to interact a fringe pattern appears. Electro Optical Modulator will shift the polarized angle by 45 degrees. This will create a channel where both polarized beams can go through. Then fringe pattern appears.
9. But the strange thing happens in electrons. When an election gun fires electrons at a double slit, it is observed that electrons are observed in a fringe pattern. When a director is places at one slit the pattern changes to a two peak pattern instead of a fringe pattern. If electron becomes unentangled at the time of direction you cannot get two peaks since there is only one director. you should get one peak e.i. at the slit where the detector is placed.
10. In can be any detection will collapse the superposition. If the following experiment is performed it can prove it.
11. Several new points are noted: I can't find details of an experiment where a director is places just after the double slit in electron gun experiment.
12. It will be interesting to see placement of the director before and after the double slit in electron gun experiment.
13. It is wrong to say electrons will randomly go through one of the slits. The electron goes through both slits. By Heisenberg theory we do not have information of the exact path. This do not mean randomly one path is selected. It goes through both paths but at the time of realization both parts comes together. This is the moment uncertainty ceases. So what will happen after the electron gun fires a photon halfway we reach out and grab an electron. The thing the garbing will be successful only be 50%. But this 50% is not because 50% of electrons travel through one slit and balance 50% through the other slit. We release only one electron it is wrong to say it may go through either slit, it is correct to say it goes through both slits. Then it is correct to say grabbing will be successful 50% of the time and fail 50% of the time, and when it fails electron will appear from the other slit.
14. We physically cannot do anything about this, this is a fundamental attribute of the world. This is the Heisenberg principal. 
15. This explanation do not have the electron going back, of part of it going back, or some sort of a message is sent back in time. 
16. Forget for a moment about waves, forget that when we look for a particle there is a particle, when we look for a wave we see a wave statement. Try to explain everything by particles first.
17. Splitting a laser beam may be fundamentally different from the normal double slit. Even in the case of electrons there is a single slit in the electron gun. Apart from the laser other experiments can said to be depend open Heisenberg principal.
18. Splitting a single photon from a laser light to vertical and horizontal polarized parts is remarkable and stand in it's own right as a very different phenomena. Then again having these two to come together and create a diffraction pattern is more remarkable and will need another explanation. Because it is difficult to imagine Heisenberg Principal at this time. But remember laser light can be used to get diffraction pattern by double slit- this case normal Heisenberg principal applies.
19. This splitting also have characteristics of Heisenberg split. In both in cannot be said that there exists two parts of the single particle. It can only be said that there are two probable paths of travel. After the particle starts traveling if a barrier suddenly comes across particle striking the barrier is a probability distribution. There is also a probability of missing the barrier.
    
    
20. As a general principal it can be said whenever a singe particle is split and if it is allowed for the probability paths to come together, before splitting ceases, the realization will be an diffraction pattern. 
21. Why is it different interpretations given for electron diffraction and photon diffraction. For electrons Heisenberg Principal applies but for photons only electromagnetic theory applies. 
22. By treating both as particles and applying Heisenberg Principal we can get rid of all the controversies - in fact most.
23. I cannot find anywhere why it is said that light emerging from a single slit is coherent light. It may be Heisenberg Principal comes into effect.
24. One principle and one explanation should be given for diffrection of electrons, light from laser beams and light using double slit after a single slit. But I find slightly different explanations given. Light without laser states that incoherent light is given at the single slit but nowhere proper explanation is given for why is it. Light from laser sometimes produce diffraction without a double slit how? There is no single slit in the electron experiment.
25. My explanation is that there are no waves only particles exist. When a particle starts traveling a path is created for it to travel the instant it starts traveling. This path depends on Heisenberg Uncertainty principle. Also this path depends on the barriers in the line of travel. When the barriers change the path instantly modified accordingly. This path do not have any energy. It is not a physical thing. It is only a path that can be calculated. Though the path is there, it is not a grantee that the particle will come to pass it. The particle may be absorbed by a barrier. The particle will travel forward only if it is not absorbed by some barrier. All this depends on probability. The path is destroyed by observing the particle and a new path is created. Therefore interaction patterns caused by barriers - i.e. probability of the particle arriving at a certain place and causing a pattern is ceased. Certain configuration of barriers can cause the path to give out a diffraction pattern. When multiple particles go on the same path a diffraction pattern can be observed. When the particle is observed or measured the path ceases. Therefore no diffraction pattern appears. In the original Young's double slit experiment, the first slit creates the path. The double slit modifies the path. Multiple number of photons goes through the single slit and uses the same path, this creates the diffraction pattern. When lasers are used in the experiment, the aperture at the laser crystal creates the path. The path is not destroyed even when polarized. Polarization creates a different type of deviation than a normal barrier. When polarized photon are caught at a barrier no diffraction pattern because two different polarization cannot interact to create a diffraction pattern. When the plane of polarization is rotated, it will create a path that is possible to interact. This will create the diffraction pattern again. In electrons the aperture at the electron gun creates the path, the double slit will create a diffraction pattern. When measurement is made after the electron passes through the path is destroyed and diffraction ceases to appear.
26. It is important to understand that the path is for one individual particle. Similar paths can be created for other particles with similar velocities and similar barriers. The path can be destroyed by the action of observing or the particle striking a barrier - there will be a probability of such an event happening. Therefore though two particles paths can be geometrically similar they are not the same. With multiple particles going through same geometrically similar path will give a diffraction pattern.
27. The path is like a ghost associated with the particle. It will not have any energy or mass. It may look like an ameba depending on the barriers. It is just a collection of probabilities. When it is separated and amalgamated later it will create a diffraction pattern. But this diffraction pattern is mathematical. It's values can be arrived by using calculations of a probability wave.
28. This is a better explanation than thinking of time traveling backwards or universe consists of many worlds.
29. Another impotent point to remember this path does not travel with the particle like a pilot wave. Path created beforehand before the particle reaches a point, that point was a part of the path.
30. Electromagnetic wave is not a wave but collection of coherent particles.
31. This is the basic method of locomotion. It is the same to particles and waves.
32. This theory is more correct than the pilot wave theory because when consider all the relative movement of all reference frames pilot wave theory will come across difficulties. Since this path are just imaginary like ghosts we will not need millions of millions pilot waves but with paths it is not a problem because these are not physical.
33. Consider Brownian motion of particles in a liquid. How are you going to apply paths to it. In this case we need to depart from paths to other theories. The paths will be changing so quickly there is no practical use in applying them. But the main thing is, there is no contradiction.
34. In an atom when the electron receives a photon it will change it's path. And then go to a higher energy level. There will be little difference from the standard quantum theory of atoms to the paths theory. In fact I feel it is the same.
35. Polariser will be a special kind of a barrier. The path created by it will be very different from that of a normal barrier. Polarized light going through a polariser of the same direction will not disrupt the path. Also it will not wholly disrupt the path when polariser is placed 45 degrees. Part of the path will remain intact and it will also be able to interact with originally uninterruptible polarized photons.
36. One of the parameters of the path is a set of probabilities. 
37. One single photon can be polarized to parts. Actually this interpretation is wrong. Polarize means adding additional dimensions to the 3D path. Because of this 4th dimension vertically and horizontally polarized paths cannot interact. By using a 45 degree polarizer polarized angle can be changed. In doing so parts of the path is converted to 3D, therefore a diffraction pattern created. This 4th dimension have just two values vertical and horizontal. It do not have continuous values of real numbers like 3D XYZ.
38. For a photon, when it is emitted first from an exited electron in an atom, the first path is created. Whenever it is bounced in a barrier without being absorbed, old path is destroyed and new path is created. It will be similar for electrons, when an exited atom emits an electron the first path is created. When it is accelerated and change velocity in jumps new path is created. This acceleration is done by an electromagnetic field. The field will impart photons and electron will absorb photons and will accelerate, therefore when each photon is added a new path is created. In a laser beam it will be the apposite electrons will supply the energy to photons. Photons will get new paths. By placing two mirrors at the end synchronization is achieved.
39.  Laser produces synchronized light. Therefore it creates multiple paths for bunch of photons. This is the reason we see diffraction patterns easily by using a laser. In other cases maybe diffraction patterns are created but we cannot see them.
40. What part in this system the synchronization have?
41. Polarization and spin. Very similar qualities in twisting the polarized angle and spin angle.
42. What is phase in electromagnetic wave.
43. I am surprised about the deepness of mathematics involved in quantum theory but skimming on the surface the logic of basics. For instance diffraction experiment of Young involves a single slit and a double slit. But for electrons and laser beams only the double slit is used, why?
44. My interpretation: Lasers and electrons give a diffraction pattern not because coherence but because the photons in a laser and electrons emitted by the electron gun travels parallely. Therefore multiple diffraction patterns do not overlap without the help of a single slit placed before the double slit. In case of normal light this won't happen. Photons comes from multiple directions and the diffraction patterns overlap. By placing a single slit this is avoided and diffraction patterns are created only by parallely traveling photons. This interpretation the phase of waves do not play a part. We can do away the waves and wave particle duality and stick only to particles. This also explain why lasers travel a long distance without deviating. Here photons are made to travel parallely. With the wave theory lasers cannot be explained.
45. Two entangled electrons act as one quantum entity. Both entangled electrons are engulfed in a single path. This path stretches to opposite directions.

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.

GTA online Deadshot

Why world is not imaginary

Suppose there is a mountain and then there are people who sees the mountain. Each one who sees the mountain has a mental picture of the mountain in their brain. This can be represented by a set of data. Each one who sees the mountain will have a set of data. Mostly each of these data sets will be different. Further if one observer moves the set of data will change.

Then suppose that there is no mountain but only different data sets in the brains of each observer. When the observer moves the movement data is used in calculating a new data set continuously. All the data in these sets will be enormous.

Then consider the mountain is real and it's location, size and other details are given by a data set. Then also the location and movement of each observer is given by data sets. All this data will be a finite number.

When you consider the two options, imaginary mountain needs a large amount of data compared with the existence of a real mountain.

Therefore on the theory of minimizing data mountain should exist outside the imagination of the observer. Further it can be assumed that the world is real and not imaginary inside the observers brain.

Why Quantum theory instead of Classical Theory?
Using randomness uses less data than the Classical theory?
If so it will be proof why the world is Quantum.
If wave particle duality consumes less data than either waves or particles, that will be a good enough proof why duality exists.
If we can prove that if wave remains after observation need more data than becoming a particle that will be a good enough proof about the wave particle duality.

Limits of Mathamatics

By limits of mathematics I do not mean the limits of achievements to mathematics by indulging on current achievements. This may be limitless. I refer to physical phenomena that is interpreted by mathematics.

Even here there may be limitless achievements based on current achievements. I refer here some new phenomena  independent of all phenomena currently known. Currently known mathematics will never lead you to a new phenomena currently unknown.

Reason for this is maths is a tool and not an end. When basic parameters are given using mathematics we will be able to make more achievements. But there will be a limit. It can't predict other independent phenomena but it will be able to predict phenomena where there is a connection.

Improvement from integers to decimal numbers.
From basic arithmetic to calculus.
World is flat to a globe.
All planets rotate around earth to sun.
Quantum Theory.
Schrödinger Cat
delayed choice quantum eraser

1+1=2 (one plus one equals two)

How do you know that 1+1=2 (one plus one equals two)?

This is a proposition about essence. It is abstract. It exists in thought or as an idea but does not have a physical or concrete existence - meaning or abstract. It is an eternal truth.

Those truths are always called "eternal truths." The gist of the argument is that truths are part of the contents of minds, and that an eternal truth must be part of the content of an eternal mind. There is already an argument not unlike this in Plato where deduces immortality from the eternity of the ideas. But in Leibniz the argument is more developed. He holds that the ultimate reason for contingent truths must be found in necessary truths - The History of Western Philosophy by Bertrand Russell.

When we see two apples we think they have similar qualities, even though each will have a slightly different shape. It cannot be said apple A is exact replica of apple B. In the physical world no two things are the same. Take for instance two hydrogen atoms, they may have different distortions when they strike the container they are in, though these distortions may reduce with time they may not fully disappear for ever. At least at the time the notion 1+1 = 2 appeared in the domains of mathematicians, they were unable to go the the depth of hydrogen atoms but apples are a good example for defining two. Notion of two came about humans seeing similar things. Seeing sheep in a heard, or seeing everyone have two eyes, hands and legs etc build up the concept of two.

Therefore two was not entirely a mental concept. After observing lot of physical things this concept was built in our brains. After the concept was built we do not need the physical things to substantiate it. Like what Wittgenstein said in Tractatus -  My propositions serve as elucidations in the following way: anyone who understands me eventually recognizes them as nonsensical, when he has used them - as steps - to climb up beyond them. (He must, so to speak, throw away the ladder after he has climbed up it.) He must transcend these propositions, and then he will see the world aright. Then the concept becomes purely mental. The propositions are the ones explaining about similar things, existence of it, it's properties, why we treat certain things as similar things etc.  It is an eternal truth.

Construction of the human brain has a special ability to group things. Because of this ability we can separate groups of things which has similar attributes. Here it should be noted that all of the attributes need not match. A percentage is sufficient. This percentage is not a well defined thing. It depends on the brain. Two individuals may differ. Usually, we accept that two things are similar when most of the human brains agree that properties of both are sufficiently same.

Strangely enough 1+1 = 2 concept will not be complete without 3, 4 and 5 so on. This can be explained why an orange and a lemon are not grouped as the same type of fruit. Orange and lemon will have some attributes that are similar, but we won't say they are the same fruit. The reason is when we look at a heap of oranges we know that the attributes shown by the orange is different than a lemon. To make this distinction we will need more than two oranges.

Problems of Quantum theory:

• Two different properties of a particle cannot be measured independently.
• Errors of measuring properties depend on probabilities. Unlike in classical physics where these probabilities only depend on measuring instruments, in Quantum theory they depend on measuring of other properties.
•  Measuring of one particle automatically decide the value of other particle.
• Behaves in different ways depending on ability to observer the particle.
• Local Realism -  having a preexisting value before a measurement is done.
• Realism - the world is independent of mind. 
• Radioactive decay.

No one is worried about 1+1 = 2 not having 100% link to the physical world - people have thrown out the ladder long ago. But worried about quantum theory - people have yet to start throwing out the ladder.