8B: Tracking Memory

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environment. Our next activity works only on the newly changed environment. The environment remembers the past memories. Thus past memory can also be modeled in the same way as in Figure-8.1. The dynamic equations representing the figure, given later, will represent all possibilities of memory concepts, retrievals, and inferences etc.

Our purpose here is not to demonstrate or write out a real analytical model of a single human body as part of physical object. There are some research publications [Pentland] available in this direction. Our model describes the dynamic memory generation process using physical actions of all humans. The model is for the collective society of entire humanity and the entire material universe, which we call here as GST. Again, we remind the reader, that this concept is needed because of the simultaneity law. The goal here is to show the feasibility or existence of such a model, so that we can meaningfully think of analyzing memory data, in terms of human actions and the laws of nature.

The idea of global influence on a single human was also confirmed [Elwell] by Karl Marx, who wrote in 1857 “… the human essence is no abstraction inherent in each single individual. In its reality it is the ensemble of social relations”. Thus there is nothing like “I am” or “I did it”. Every result is a culmination of a long chain of actions and reactions of many people, over a long period of time, and under the influence of the ever changing environment.

5. Propagation of Memory

Memory is not just a static physical photograph or a dynamic video of certain duration; it is also the nature of those images after recollecting mentally at some later date. This recollection phenomenon can be considered as propagation of the images or static memory over time.

Let us say that an action is performed at time t on some object and the reaction appears at time t+dt. Here dt is a very small time, usually called delta time. The time dt can be considered as the observation delay time. If the reaction is only one force or only one reaction, then from knowing this reaction at t+dt, you can predict the action that happened in time t. This is because the action and reaction must be same, as shown by (8.5).

If the reactions are many at time t+dt, then from analyzing all the reactions we can also predict the action that happened at time t. This can be done, because the summation of all reactions at t+dt is constant and is equal to the action at time t, which originated everything, as shown in (8.6). This analysis shows that knowing the present at t+dt we can predict the past at t. In other words the present holds the memory of the past. The concept that the memory of the past is embedded in the present time is a major contribution of the Newton’s third law. The force or action at time t becomes the history or past memory for time t+dt.

It is easy to see that the future is also predictable using this action-reaction law. The logic that we have just used can be repeated by replacing t+dt by t and vice versa. That is, if we know the action at time t, then we know what will happen at time t+dt, which is nothing but the reaction, and this reaction will be same as the action at time t with opposite character. If there are multiple reactions due to one action then we will have to make more mathematical modeling to find the share of the action force for each reaction. This is very much like the billiard ball game, when one ball hits many balls then we can find the track of any one of the balls by finding its input actions. Thus we can see that the future is in the present.

What we have described is the dynamic changes or propagation of the forces or actions over time in both direction of present time, that is, past and future. We have shown how we can predict what will happen to the forces as time passes by knowing their status at any time.

Since we have defined, purpose as an action, the trajectory of purpose can be propagated. Similarly the trajectory of all objects under these actions can also be predicted. Therefore the data, which is the consequence of the other two items in memory, {data, action, purpose}, can also be predicted. Thus entire memory can be predicted, showing that the memory is not only a physical object, its evolution in time is also physical. Since all actions, objects are in the GST, this propagated memory will also be in GST. We will extend this microscopic propagation model in more systematic way using calculus and system theory in the following sections.

Thus events can be predicted and therefore these laws, the sigma laws, are also called the memory laws. Clearly and for simple situations, like throwing a stone; we can predict its trajectory fairly well [White]. One day in future, we may achieve this prediction technology. But for now we only know the existence of its feasibility.

This determinism of our nature is not a philosophy or a fantasy. It is, as shown above, based on pure physical laws of action and reaction. But we should not confuse it to mean that we can predict future. This cannot happen, because of the complexity law, which is hidden in N in expression (4.1) of chapter-4 on conservation laws. The number N is very large and cannot be found, but it exists and is finite. Einstein and Newton both believed in this deterministic law of nature [Kaku]. The literature on the theory of relativity also talks about the predictability of future. It has been written in the physics book [Eddington, p. 46] “Events do not happen; they are just there, and we come across them”.

6.   Memory is a System

Our definition for memory, {data, action, purpose}, shows that everything in nature and in our world can create memory through actions on objects and thus our memory is a physical quantity. From another angle, everything in this universe is also a system. The subject of system theory gives a very well defined constructive approach for building models of systems. These models can then be analyzed using the theory of differential equations. The overlapping of these two structures therefore makes memory a system and system theory can be used for analysis of memory, creation of memory, and in particular, the propagation of memory over time or equivalently the retrieval of past memory. Thus this system structure maps a structure on the space of memory or the GST.

This section highlights the existence of a model [Caldwell] of type (8.2) for any system, including memory, and the existence of its solution. Since this modeling approach is constructive, so it will be

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in RHS of any one equation, therefore represents the summation of all actions that all of us have performed together, simultaneously, and interactively. Since we are all changing all the time, each object is also changing all the time. This change is represented by the derivative of each elemental object in the left hand side of (8.2). The complete contribution of one person’s actions in one of the equations is highlighted. Expression (8.2) is very large; there are more than millions of equations in millions of variables. The highlighted portions may even contain thousands of actions.

Expression (8.2) represents the actions we perform on objects to create the memory. Actual memory data is given by the solution vector x(t) in equation (8.4). Each component of the vector x(t) represents a data item as a value of an object. The RHS of (8.4) shows how every data-item is related to all the values of all objects taken at present time. Or in other words, it shows how each memory component is dependent on the values of all objects used by the entire population and not just by you and me. Since (8.2) is based on the law of conservation the solution (8.4) also represents that law, showing that the memory is preserved for eternity inside the GST. Thus the GST is not only the originator of the memory, it is the preserver of the memory also.

All of us simultaneously contributed to create the total memory defined by (8.4), so the complete solution, which is the total memory, cannot exist inside any one brain. Also, the solution of any one variable of (8.4) is dependent on all other variables associated with all actions of all other persons. Therefore we cannot even create our own solutions; we can only contribute as actions via (8.2). Therefore the memory of any one variable cannot also be inside our brain. That is we cannot know the memory data completely.

The expression (8.4) also shows how the memory at present time at t0 is propagated at some different time t, this time t can be future or can be past. Since our model is simple we got a very simple relation, but in complex models the methodology will remain same. This way we can conceptualize the possibility of propagating the memory along different point on the time line.

Since the GST is outside the brain, the human memory cannot be inside our brain. We created the memory using (8.2), it must be outside us. The whole cannot be inside the part. It is inconsistent for the creation to remain inside the creator. The statement that seed contains the tree is very confusing. It takes land, water, sun, and time to produce the tree from the seed. The seed does not have the physical tree inside it. Thus the brain is only an input output processor and not the originator of total memory. It receives information from GST through our body sensors and performs actions accordingly, using our body sensors.

Thus we will never know what the true memory is. It is beyond even our comprehension, it is guided by the simultaneity and the complexity laws. All we can see or understand is the projection of a large multidimensional space on a very small hyper plane defined by you or me.

Using the theories of mathematics, physics, and system engineering, we have created a large scale global model of memory in GST starting from the microscopic definition and design of memory data element. The main results is that memory is outside our brain, it is inside nature, and is preserved for eternity. Our brain only helps to propagate the physical data; it only acts as an input output processing physical computer. The key idea of simultaneity law led to this concept of global memory in GST. Philosophically speaking, this concept has a profound impact in understanding of our behavior and the design of our society.

 

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