Dear Ioannis,
I do see that VCS could not be expressed in the standard Cartesian system. I just do not see the need for it, partly because when one understands all the motions involved in the interaction and their current conditions at the point of interaction, the resulting output outcome of the interaction becomes known with a one hundred percent probability. The only problem that remains once the motions are understood is gaining the ability to observe the current conditions of those motions at the point of interaction and that comes as a part of development of fifth vector structuring technology. To me the fifth dimension is just another physical spatial dimension like the three dimensions that man is familiar with. The only difference is in the way it interfaces with the other dimensions. Its interface causes its motion to be applied to each of the lower three dimension's motions for the particle that it is a part of (energy photon) in a cyclical manner in such a way as to cause the particle's motion path to become curved, so that it creates a three dimensional enclosed cyclical standing wave pattern path. It describes how an energy photon changes into a matter particle and how a matter particle changes into an energy photon. Likewise the fourth dimensional motion explains the frequency, wavelength, and dynamic mass effects of an energy photon and explains how a sub-energy particle changes into an energy photon and how an energy photon changes into a sub-energy particle. When you understand that a matter particle's composition contains both its fourth dimensional standing wave pattern and its three dimensional standing wave pattern generated by its fifth dimensional motion and you understand how they interact with each other and with the same patterns of another particle during an interaction the reasons for the mysterious multiple outcome possibilities for an interaction and the probabilities of each one occurring are no longer mysterious, but are understood to be the natural possible outcomes due to the structures of the entities involved. No hidden virtual reality is needed to account for these things.
I am not sure what you mean about orthogonally different. I suppose you could put the number of apples that one has on the X axis and the number of apples one owes on the orthogonally different Y axis, so that the line that starts at the bottom left of the chart that represents the meeting of the zero points of both the haves and the owes and proceeds to the right and up at forty five degrees from either axis would represent all the places where the haves are equal with the owes and points above and below that line would represent the amount of departure from that state of equality, but this would seem to more show the relationship between the haves and owes rather than their difference. If you are trying to say that they are opposites, that is true and would be better shown on a single line with the number owed arranged by order of increasing number owed going to the left from a central zero point on that line and the number one has arranged going from that zero point going to the right ordered by increasing numbers that one has. I am not trying to say that you actually have a negative quantity of electrons. I am just saying that it is often easier to manipulate a quantity that has a central zero state and departures from that state in two directions as though one is positive and the other one is negative. You could use the excess number of protons over the number of electrons in an atom on one side of the central zero point and the excess number of electrons over protons in the atom on the other side of the zero point on the line and always have positive numbers, but you would have two different units (protons and electrons) to contend with in your math. It can sometimes be easier to just think of the net amount of positive or negative charge that exists within the atom. I would agree with you that one should always keep in mind the behind the scenes structure that generates that net charge amount. Yes you are right that I was also pointing out that it is always important to keep in mind the structure that is behind the numbers. The world is made in such a way that there are many structures that have opposites joined together by a central zero point. As an example, the dimensions are constructed in a bi-directional form, so that at any point on a dimension you can travel in one direction or you can travel in its opposite direction. If you first move five units in the right direction and then move three units in the left direction, you could desire to know the total units travelled in which case it would be perfectly valid to add the five units travelled to the right to the three units travelled to the left to get a total distance travelled of eight units. On the other hand, if you just want to know how many units you are from your starting point, it would be easier to treat the smaller distance of three units as though it is a negative distance compared to the larger distance travelled in the opposite direction and subtract it from the greater distance to get the position of two units in the right direction. Part of the problem is the limited nature of man's current mathematics. Symbolism to express relations of opposites or various intermediate levels of structure are not usually commonly used, so they are often expressed in more abstract positive or negative relational terms. You are right that this can distract one from or hide important behind the scenes information. Math could be used in such a way as to preserve the structure that is being referred to. As an example, Nd: 5r & 3l= 2r where N = net, d = distance, l = left, r = right, : = of, and & = and would keep in mind that the net left, right distance is what is being determined. Although I used standard alpha and numeric characters, special standardized symbols for net, of, and and could be used. Like in any case where you add information it increases the size of the formula and the operation that would be done to get the answer would still be subtraction. In the distance example, the east-west distance could not be determined, so all that was available was the minus two and five meters. Wouldn't the Pythagorean Theorem also work in your system? It seems like it would, although the virtual reality part might not be used.
I don't see a need for a physical time dimension, but if you can locate and point out the point in three dimensional space that was the initial expansion point of the big bang that would indeed be an important thing to know. My understanding is that man has no concept of where that point is. If you know it you probably can be famous. A continuum is something that continues, whose parts cannot be separated or be separately discerned. A motion continuum is therefore, motion that is continually changing or continuous motion and since all entities are composed of motions I believe it should cover all concepts of continuous change. Whether motion has positions in the absolute sense is dependent on whether the dimensional system is discrete with minimal positions in such a way that a motion travels from one such position to the next or whether it is analogue with a truly continuous structure. Man cannot know the answer to that question at this time. Even if it is analogue a motion can be considered to be at a position at a given time or point in the motion continuum. The concept of position would not be an absolute minimum point in space, but would be considered to be the minimum range of such motion's continuous change in spatial location that could be discerned within the currently available level of measurement accuracy. This would not be absolute, but is adequate for many purposes. If you start with D=RT where D=distance, R=rate, and T=time, you can get T= D/R. If you then replace the time based rate with a direct non time based unit of motion amplitude M, you get T= D/M. Time then is just a relationship between a motion and the distance it travels through. Time is generated by a motion traveling through a distance. The greater the distance that the motion travels through the greater the time interval generated and the greater the motion's amplitude the less is the time interval generated by that motion. This, of course, is a simplified example and does not take into account fifth vector motion variations, etc.
The ultimate goal of science is the acquisition, of the knowledge of and ability to use and control those rules that govern the structure of the most basic entities that exist and how they interact with each other in a more and more complex manner that generates more complex rules and interactions that ultimately generate all of the complex structures that exist in our world. Finding these rules is based on observations that can be repeated over and over again that always generate the same output results when the same input entities and their conditions and quantities are the same. This can only be determined when measurements can be made that confirm the relationships of the specific inputs with the specific outputs of the interactions, but because man currently has and has always had limitations on his ability to make observations beyond specific size and motion amplitude scale levels, an observational barrier always exists beyond which man cannot make accurate observations and/or measurements. Man has generally used the information gained from observations that he can make at a given time to gain greater understanding and to develop devices that increase his range of observation, but scale limitations still remain. This is where the part of science that is the closest to philosophy comes in. Beyond man's current limitations of observation a hypothesis is made based on projections of current observational data and man's understanding of it in an attempt to determine the experimental and observational direction that should be followed to allow further advancements in observational ability or to gain or confirm new understanding or more detailed understanding of the meaning of current data. The difference between a proper scientific hypothesis and a philosophical argument is that although the scientific hypothesis is based on and kept in close correspondence with experimental observational data, the philosophical argument is often only based on a logical argument that may not be closely correlated to observational reality. Philosophy is generally most useful when dealing with situations or concepts that are not well understood because adequate observational data is not present to directly lead to a detailed understanding of the subject. As an example, the question of what (if anything) exists outside of our universe would be most appropriately addressed by philosophy because we have no observational data from outside of our universe to draw upon to come to any scientific conclusion. It is not always easy to determine what concepts are truly scientific concepts and what ones are philosophical concepts. As an example, the concept that the earth is the center of the universe with the sun, planets, and stars revolving around it is based on the observational information that when one looks up at the sky at night, one sees these things moving across the sky. It is only when more detailed observational data is available such as the observation that the planets do not just travel in straight lines across the sky, but perform strange back and forth movements, etc. that an earth centered universe becomes scientifically doubtful. It can thus be clearly seen that what appears to be a valid logical (philosophical) argument even when based on limited observational data can prove to be wrong. For an argument to be a valid scientific hypothesis it must be based on a large amount of experimental observational data that all points to the same conclusion. The more one departs from observational data in one's argument the more philosophical and less scientific the argument becomes. The problem is an excessive reliance on man's logic and/or math structures. Both of these structures are parts of man's overall language structure and like all of the elements of man's language structure they can be used as abstract representations of both real and imaginary structures. It is only when they are tied to reality through observational data that they have an anchor that can hold them to reality or at least bring them back to reality when more detailed observational data becomes available that clarifies the meaning of the lesser amount of observational data that they were originally based on.
The hypothesis that all matter particles and energy photons are composed of motion is clearly pointed to by the experimental observational data chain that matter particles can be changed into energy photons and energy photons can be changed into motion. These things have been experimentally observed in many ways in various different types of interactions using different types of experimental apparatus. The laws or rules of the behaviour of motion are well understood, so a scientific hypothesis can be made that incorporates all this data into a workable structure that explains how energy photons and matter particles are constructed, how they can interact, and what results can come from those interactions.
If a virtual reality world that is offset by one half of a Planck length from our reality dimensional structure exists, it must also be pointed to by observational data in order for it to be a valid scientific hypothesis. Otherwise it becomes a convenient imaginary dumping ground for all the things that man cannot currently explain scientifically due to lack of data or the lack of insight that joins the elements of this data into a useful scientific structure. You say that this virtual coordination system is open to search for finding the nature of its virtual dimensions and the rules that govern them. How would you do these things? If you can do these things and scientifically prove their feasibility by basing them on experimental observational data, you will have a valid scientific hypothesis.
You are right that we cannot have absolute knowledge of anything because all information comes to us by intermediary processes such as by light photons acting on matter structures in our eyes and then through a chain of motion transfers from those sensing structures that ends in our perception of an object through many levels of structure in our brains, etc. For all you know you may just be a little black box sitting on God's desk being fed all the information that you interpret as existence in this world. There have been many such philosophical arguments made over the years and it is impossible to say that they are wrong because of the nature of our existence in this world in that we are a part of its structure and cannot separate ourselves from it and look at it from the outside, so that we could get an objective perspective. Nevertheless, we must live in this world whether it is real or not, so analyzing the data that is presented to us to learn the rules of operation of this world and how to manipulate those rules, can still give us some control over what happens in our lives to improve the quality of our lives here. You are right again that as man has progressed, it has been necessary to construct and use devices that allow man to overcome the size and motion amplitude scale limitations that are built into man's structure. These devices add extra intermediary levels of abstraction to the sensing of things that are too small or large or are too fast or slow or are too high or low in intensity, etc. for man to sense using only his built in sensory capabilities. These devices do increase the possibility that the data that they produce is in error due to faulty design or construction, etc. of the devices, but this possibility is drastically reduced when many devices of different design and construction all give the same output data results.
The argument that happiness could be deduced by measuring human's health as happiness has a positive effect to human's health would not even make a good philosophical argument let alone a good scientific hypothesis. First you would need to determine if health has an absolute condition of perfect good health, an absolute condition of bad health, and a linear range between them and you would need to know all the variables other than happiness that would contribute to one's level of health condition. As an example, it could be that a combination of the other variables other than happiness could create a condition of perfect good health, in which case a person who was completely unhappy could be judged to be happy because he was in perfect health. There could also be other variables that if present would negate the positive effects of added happiness, so that no change in the level of health would be observed whether happiness was present or not. The point is that you could only deduce one's state of happiness from one's state of health if happiness was the only variable that determined the state of one's health and if there were no counteracting variables involved. Even if happiness has a positive effect on health it would not be logically correct to say that better health necessarily has a positive effect on happiness because some relationships only work in one direction. Also to take the other side of the argument, if happiness is not determined only by one's state of health, then good health would not give an accurate representation of one's happiness because the state of all the other variables that generate the person's state of happiness could overpower the effect of the state of health alone. If you take all such things into consideration you could develop a good philosophical argument about the effects that the state of health would have on the state of happiness, but for it to be a good scientific hypothesis you would need to base it on extensive observational data about the variables that generate good health and also those that generate happiness and the effects that each variable has and their interrelationships with each other, etc.
It is true that the only way we could completely understand the initial conditions at the beginning of the universe would be to get that information from the one that generated them.