This course is completely different from others; it teaches you how to reset your mind using powerful visualization techniques and reprogram it for success
It enables you to lose your worries, cure depressions, forget stress and reboot your mind to the right programming.
Removes all negative thoughts that damages your mind and replaces them with good strong positive thoughts.
Then it teaches you how to protect your mind from bad programming and finally, it shows you how to reprogram your mind for success in your life.
All of this can happen in less than 60 Seconds or Less. You will have to continue with this method for a while but it soon clicks in and will become second nature to you.
Here is course videos.
2. How does your mind get programmed negatively?
3. How to use the power of creative visualization
4. Remove the viruses from your mind
5. Install anti-virus software in your mind permanently
6. Program your mind for success
7. Course summary with bonus exercise.
Who this course is for:
- This course is useful for people who have the will power and zeal to become more successful in their life by removing past failure memories and negative programming from their mind permanently.
- This course is also very useful for fresh college grads and students who are venturing into new opportunities and challenges in their life and want to program their mind to face these challenges and changes in their life.
- This course is for those who are always surrounded by negative people and negativity and want to shield themselves from their negative energy which hinders their success.
What you’ll learn
- In this course you will learn how to protect your mind from bad reprogramming and finally, it shows you how to reprogram your mind for success.
- By the end of this course you will be able to Reprogram your mind for continued success
2.3 A Note for Readers Without a Mathematics Background
If, by now, you feel puzzled by the mysterious nature of the quantum mechanics formulation, and begin to think that you may be missing something because you lack the required mathematical ability, let me assure you, once again, that the mathematics do not help, in any way, to explain the mysterious nature of the formulation.
The mathematics merely enables us to compute the results of applying a particular operator to a particular quantum wave function. It allows us to compute the eigenstates and their corresponding eigenvalues and expansion coefficients, and we do this by manipulating the numbers according to certain mathematical procedures. Unfortunately, we have no idea why these particular mathematical procedures work.
We only know that the mathematical procedures work because the eigenvalues we obtain do match the possible experimental results. But we have no clue why these mathematical procedures do this. This is a fact. We also know experimentally that the expansion coefficients do provide us with the correct probability distribution of the measurement results. But again, we have no idea why these mathematical procedures (for obtaining the expansion coefficients) do what they do. We are truly like technicians who know how to push the correct buttons to get the machine to work, but actually have no idea why the machine works.
That is why this ability to manipulate the numbers does not help, in any way, to explain the formulation of quantum mechanics. Physicists are as equally puzzled by the mysterious nature of the formulation as you are. Our mathematical ability does not help, in any way, to reduce this puzzlement. This is because we actually have no idea at all why the mathematics work!
Unfortunately, some physicists do try to suggest that they understand quantum mechanics simply because they can compute the results. Do not be fooled by this. This would be like claiming to understand how a car works by simply being able to drive it. The ability to compute, by merely following certain mathematical procedures, is not the same as understanding why it works.
If physicists really understand why the mathematics work, we would not have all these differing interpretations of quantum mechanics that we find today. Furthermore, these interpretations should also then not contain conceptual problems. But they do. It is therefore a fact, as Richard Feynman says, that nobody understands why the mathematics in quantum mechanics work!
Hope: If you are liking the class, then stay tuned, keep learning in the class, then you know.
2.4 The Collapse of the Wave Function
It should be evident, by now, how pivotal the role of the observer is, in the formulation of quantum mechanics. The quantum wave function deals with possible results of measurements by the observer, and with the probability distribution of these possible results upon measurement by the observer. Quantum mechanics does not provide rules for the behaviour of a particle, directly, on its own right, independent of the observer, but only rules for the results of measurements of the particle by the observer. That essentially explains why physicists have still not succeeded in freeing quantum mechanics from the observer, even after repeated attempts at it for more than a century!
We now arrive at the one single part of the original formulation of quantum mechanics that disturbs physicists the most; and that is what happens when the observer actually makes a measurement. This event is known as the collapse of the wave function.
What happens when the observer makes an actual measurement is this. The quantum wave function suffers an abrupt and discontinuous change. It collapses into one of its eigenstates. In other words, one of the eigenstates replaces the quantum wave function and becomes the new quantum wave function. All the other eigenstates disappear. This is what is meant by the term “collapse of the wave function.”
Following our analogy of the birthday cake, making an actual measurement of an observable is like actually cutting the cake (not just marking out the divisions) into its appropriate parts (its preferred basis) according to the instructions provided by the operator corresponding to the observable we are measuring. The collapse of the wave function is then akin to only one slice of the cake (the eigenstate with the eigenvalue that corresponds to our measurement result) being chosen by chance and the rest of the cake being thrown away. This slice of the cake, that is chosen by chance, then becomes our new cake, and the parts of the cake that have been thrown away are irretrievable. They are gone. We now have to live with the slice of cake that survived (the eigenstate with the correct eigenvalue) as the new cake (the new quantum wave function).
The eigenstate that takes over as the new quantum wave function is the eigenstate whose corresponding eigenvalue is what the observer finds as the result of an actual measurement of the observable involved. The process proceeds in this manner. If an observer chooses to measure, for example, an electron’s position, the possible outcomes are determined by the set of eigenstates and their corresponding eigenvalues, according to the position operator’s preferred basis. Then when the observer actually measures the electron’s position, and finds the electron, for example, at position marked 3 on his position scale, the quantum wave function collapses into (and becomes) the eigenstate that has the corresponding eigenvalue of 3. All the other eigenstates disappear.
The expansion coefficients for any future preferred basis of this new quantum wave function are all readjusted, in a mathematical procedure known as normalization, so that they again reflect the probability distribution of any future measurement results. In other words, the expansion coefficients are scaled up proportionately to again reflect the new probability distribution provided by the new quantum wave function.
In terms of our analogy with the cake, this process of normalization is akin to blowing up, proportionately, the size of our surviving slice of cake (the chosen eigenstate) until it is about the same size as the original cake (the original quantum wave function that is to be replaced by this surviving eigenstate).
Note that there are actually two ways that an actual measurement by the observer affects our reality. First, the observer affects our reality by choosing what he wants to measure. This observable that he chooses to measure determines the operator, which in turn determines the preferred basis. Thus, by his choice of what to measure (by choosing the appropriate experimental set-up), the observer determines the set of possible eigenstates that the original quantum wave function can collapse into. The second way the observer affects our reality is by actually making the measurement, and that is when the observer causes the original quantum wave function to transform into one of these possible eigenstates.
The collapse of the wave function, which is an abrupt and discontinuous change, occurs if and only if an observer makes an actual measurement and observes the result. If no actual measurement is made, the quantum wave function does not collapse, but instead evolves over time in a continuous and orderly fashion according to the Schrodinger Equation. This equation, discovered by Erwin Schrodinger, tells us how the quantum wave function gradually changes over time depending on certain properties of the particle concerned, like its energy and momentum.
This gradual change, according to the Schrodinger Equation, is somewhat akin to how a wave would evolve over time and is continuous and deterministic (i.e., predictable). Using the Schrodinger Equation, we can tell ahead of time what the quantum wave function will be like, provided no observer actually makes a measurement.
If an observer actually makes a measurement, the collapse of the wave function occurs instead, and this change is abrupt, discontinuous and unpredictable. The question of what exactly causes the collapse of the wave function is known as the measurement problem, and it is still, arguably, the most prominent unresolved issue in quantum physics.
In terms of our cake analogy, this is what happens. If we do not make an actual measurement, our cake seems to change shape in a predictable fashion—like a soft jelly wobbling in a wave-like motion. This is akin to the quantum wave function (our cake) evolving according to the Schrodinger Equation. Here we can predict how the shape of our cake will change over time.
If we make an actual measurement, however, something very different happens to our cake. We then get a collapse of the wave function that is akin to our actually cutting our cake. Now, by chance, only one slice of cake (the “chosen” eigenstate) survives, while the rest of the cake disappears. This single slice that we are left with then magically enlarges itself until it is the same size as the original cake (the process of normalization), and becomes our new cake (the new quantum wave function).
If we do not make any further measurements, this new cake (the new quantum wave function) will also change shape continuously by wobbling in jelly-like fashion (i.e., by evolving according to the Schrodinger Equation), but of course, it is now a new and different cake, and not the same as the original cake we cut. Therefore, our cutting of the cake has actually given us a new cake (i.e., a new quantum wave function).
In the collapse of the wave function, the probability concerning which eigenstate actually takes over as the new quantum wave function follows the probability distribution reflected by the expansion coefficients of the original quantum wave function (before its collapse). Note that, from the quantum wave function, we only have a probability distribution of the possible results of the measurement. We cannot predict exactly what the actual result will be. In other words, the surviving eigenstate gets “chosen” by chance. This unpredictability of the wave function collapse upset Einstein so much that he made the famous comment, “God does not play dice with the universe,” to which Niels Bohr was said to have responded: “Einstein, stop telling God what to do!”
What actually upsets many physicists over this collapse of the wave function, however, is not its probabilistic nature, but the fact that the observer now seems to actually have a role in determining our reality. If there is no collapse of the wave function, the formulation of quantum mechanics only appears to accord the observer a passive role. The part of the quantum mechanics formulation concerning the quantum wave function, the eigenstates, and their corresponding eigenvalues and expansion coefficients, of course, do necessarily involve the observer, but the observer appears, so far, to be just passively observing.
The collapse of the wave function changes all that. Now the observer, upon choosing what to measure and actually making a measurement, causes an abrupt change to the quantum wave function. The observer now not only observes, but actually changes our reality by the act of making an actual measurement and taking note of the results. The observer is thus no longer just an observer. He or she actually becomes a participant in shaping our reality!
In terms of our cake analogy, what all this amounts to is this. Einstein’s concern is that when we actually cut the cake (i.e. make an actual measurement and cause a collapse of the wave function), the piece of cake (the eigenstate) that becomes the new cake is chosen randomly, a choice that cannot be predicted. It is purely a probabilistic event, thus prompting Einstein’s comment that “God does not play dice.”
Other physicists, however, appear more concerned with the fact that the observer actually gets to decide whether or not to cut the cake (i.e. whether or not to make an actual measurement), and in the process, decide whether or not to end up with a new cake (i.e. a new quantum wave function). This new cake (the new quantum wave function) represents a dramatic change in our external reality. In other words, the observer is now not only a passive observer, but an active participant in altering our reality by actually cutting the cake!
Not only that, the observer can choose to affect our external reality differently by deciding how to cut the cake. The observer can do this simply by choosing to measure different observables. Each different observable the observer chooses to measure means a different operator (i.e. a different rule on how to cut the cake), which results in a different preferred basis with different possible eigenstates (i.e. a different set of possible cake parts) from which a random selection is made. In other words, the observer can actively affect our reality by choosing whether or not to make a measurement (i.e. cut the cake) and also by choosing exactly what observable to actually measure (i.e. how to actually cut the cake).
This means, of course, that our science is not a science of a universe “out there” independent of us as observers. If anything, this evidence from quantum physics is even more compelling than that provided by the theory of relativity, in informing us that our science is an observer-dependent science. The theory of relativity informs us that time and space are really entities defined by us, observers, to reflect how we experience the universe. Here, in quantum physics, the observer, by the very act of observation, actually changes our reality!
Before continuing, we have to note that some physicists insist that the collapse of the wave function should no longer be considered part of the quantum mechanics formulation. They justify this by stating that there exists an interpretation of quantum mechanics, known as the “many-worlds interpretation,” that claims that the collapse of the wave function does not occur. However, this many-worlds interpretation has to introduce something new to take the place of the collapse of the wave function; and in this case, it posits the splitting of the universe into an infinite number of alternate universes, none of which can ever be directly verified experimentally!
The big disadvantage with this many-worlds interpretation is that, even with such an extravagant ad hoc addition, by hand, to the theory (i.e. infinite alternate universes), there still remains many unresolved problems. One problem is that the probability distribution provided by the expansion coefficients no longer apply; another problem is the unresolved question of what exactly causes the universe to split if it does not involve the observer; yet another problem is the unresolved question of how we determine the preferred basis for the splitting of the universe (and in fact, why there should even be a preferred basis at all, when there is no observer involved). In other words, it remains to be seen whether the many-worlds interpretation can ever resolve all these problems, and adequately explain quantum mechanics without involving the observer. It has definitely not succeeded yet.
Since we are aiming for a direct experiential interpretation of quantum mechanics without having to introduce, by hand, artificial ad hoc additions to the formulation, we will keep to the original formulation of quantum mechanics that includes the collapse of the wave function. This issue of the collapse of the wave function was, in fact, the crucial focus of discussion and debate among the original founders of quantum mechanics, physicists like Werner Heisenberg, Erwin Schrodinger, Albert Einstein, Niels Bohr, Wolfgang Pauli, Max Planck, John von Neumann, and others.
3 Interpreting Quantum Mechanics
3.1 The Copenhagen Interpretation
Our aim, in this paper, is to eventually look at what quantum mechanics is directly telling us about our reality. So, since we are aiming for this direct experiential interpretation of quantum mechanics—an interpretation that accepts the role of the conscious observer in our reality—we will dispense with all the ad hoc hypothetical additions, introduced by many physicists over the last century, in attempts to deny the conscious observer a role in quantum physics.
These include ideas like infinite parallel universes, hidden variables, spontaneous wave function collapses, or collapses upon consistent histories being achieved, and so on. These ad hoc hypotheses are designed mainly to negate the role of the observer, rather than to learn what quantum mechanics actually tells us about our experienced reality. In contrast, our aim here—in looking for a direct experiential interpretation of quantum mechanics—is to specifically learn what quantum mechanics actually tells us about our experienced reality and about the possible role of the conscious observer.
It is helpful for our purpose to look, first, at an early interpretation of quantum mechanics, known as the Copenhagen interpretation, because it probably came the closest to actually interpreting the formulation of quantum mechanics as it is. Because the Copenhagen interpretation is almost (but not entirely) free of artificially added ad hoc assumptions—introduced to force the formulation to conform to some preconceived idea of reality—the interpretation provides us with a reasonable starting point as a basis for an eventual direct experiential interpretation of quantum mechanics. The Copenhagen interpretation is, in fact, still considered the standard interpretation of quantum mechanics.
This Copenhagen interpretation was devised mainly by two of the original founders of quantum physics, Niels Bohr and Werner Heisenberg. They were prominent pioneers of quantum physics, and they certainly wished to interpret the formulation of quantum mechanics as it is, if possible, without further hypothetical ad hoc embellishments. Unfortunately, as we shall see, Bohr and Heisenberg still ended up inserting one ad hoc assumption—that was never suggested in the formulation of quantum mechanics in the first place—purely to constrain the role of the observer.
To begin with, Niels Bohr and Werner Heisenberg, in the Copenhagen interpretation of quantum mechanics, clearly acknowledged the role of the observer. In the words of Niels Bohr:
There is no quantum world. There is only an abstract quantum physical description. It is wrong to think that the task of physics is to find out how Nature is. Physics concerns what we can say about Nature.
We can see that, right from the beginning, Niels Bohr already had the idea that quantum mechanics merely represents our knowledge or information about the external world. “What we can say about Nature,” of course, acknowledges the role of the observer, and basically supports the fact that our science is a science of our experience, and not a science of a universe “out there” independent of us observers.
However, Bohr also emphasizes that there is no actual quantum world. This may appear odd, but the reason why he does that can be found, here, in what Werner Heisenberg writes, concerning the quantum wave function (which he calls the probability function):
… the theoretical interpretation of an experiment requires three distinct steps: (i) the translation of the initial experimental situation into a probability function; (2) the following up of this function in the course of time; (3) the statement of a new measurement to be made of the system, the result of which can then be calculated from the probability function. … The second step cannot be described in terms of the classical concepts; there is no description of what happens to the system between the initial observation and the next measurement. It is only in the third step that we change over again from the ‘possible’ to the ‘actual’.
This is essentially the problem. There appears to be no way of describing what a particle is doing in between the initial measurement and the next measurement. If we measure, say, the position of an electron, we can obtain both its position and the initial quantum wave function (i.e. the probability function) of the electron, and we can obtain the electron’s subsequent position by a further measurement. The problem is that, in between these two measurements, we only have the quantum wave function, which provides us with the probability of where we would find the electron if and only if we make a measurement. But since we are not making a measurement during this interim period, it means that the electron does not even “decide” where it is at this time. Only upon the second measurement does this, in Heisenberg’s words, “change over again from the ‘possible’ to the ‘actual’.” Heisenberg goes on to say:
… there is no way of describing what happens between two consecutive observations. It is of course tempting to say that the electron must have been somewhere between the two observations and that therefore the electron must have described some kind of path or orbit even if it may be impossible to know which path. This would be a reasonable argument in classical physics. But in quantum theory it would be a misuse of the language which … cannot be justified.
Heisenberg goes on to question, in his own words,
… whether this warning is a statement about the way in which we should talk about atomic events or a statement about the events themselves, whether it refers to epistemology or to ontology.
This is a highly pertinent question that Heisenberg poses, and that is the question of whether this refers to our inability to know (epistemology) or to the fact that the electron is not actually manifesting as a real entity (ontology) during this interim period between the measurements.
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