Quantification of Thoughts

Thoughts are the noise generated in the form of ideas by human beings. Various diseases and aging are the denial of ideas or thoughts to deposit noise on or inside the body. In my opinion, the messiest part of the human body is the brain. On the other hand, the heart appears to be something like a Klien bottle. It is important to figure out in what space a human body is embedded.

The heart operates very cleverly. It conserves symmetry to operate. To explain it geometrically, consider a top that is placed in the gravitational field the vertex side down. A top chooses a unique direction and falls down thus breaking the symmetry. The heart expands and contracts in all directions rhythmically and tunnels through the gravitational field and thus preserves symmetry.

To study this interesting phenomenon, we use question theory. Question theory is such a wonderful theory that can be expressed equally in either mathematical or non-mathematical language. In this letter I will avoid using rigorous mathematics.

I define ‘a question Q, as a topology on a given set X’. To construct the problem; let me ask the very first question, “What is a definition?” It is very hard to define a definition, because any definition of a definition is again a definition.  Therefore, ‘definition is empty’.   Every set has to contain the definition; therefore empty set is the subset of every set. Now to construct a question, consider a bi-lingual person who can speak English and Spanish.  He can state a phrase in English and/or Spanish. Since every statement represents something, that something is to be the definition of a given statement. Therefore, a question is the collection of empty set, the union and intersection of a given statement spoken in various languages. It is not necessary that one is fluent in all languages. He may be able to speak some phrase in all languages that he knows but he would be unable to express his emotions in all languages other than his mother language. Therefore, there exist several topologies on a given set. 

I state the following fundamental theorem.

Theorem:   Let Q be a topology on X;

1. Let x be an element of X which is contained in some but not all members of Q then Q generates a follow-up question.
2. When x is contained in all non-empty members of Q then a question is completely answered.
3. When x does not belong to X then the question is irrelevant.

The first part of the theorem corresponds to a question, for instance, “What is mass?” Suppose mass is the quantity of matter, then the following question may probably be; “What is matter?” and so on. The second part of the theorem corresponds to a question which has a definite answer. In bi-lingual example if one is allowed to speak his mother language as much as he wishes, then he can better express himself. A mathematician can describe everything using mathematics and a poet can express the same in poetry. The third part of the theorem corresponds to irrelevant question.  Consider a system of only two particles then asking about the third particle is irrelevant.

It is also important to construct negation of a question. For instant, “Is it raining?” This question can also be asked as; “Is it not raining?” The former question is called a question and the later question is the corresponding negation question.   Let me define open and closed sets first.

Open set: A subset U of X is called open if and only if it belongs to Q. 

Closed and clopen sets: The complement X – U is called closed set and a set which is both open and closed is called clopen.

I define the negation question as follows:

Negation question: The collection NQ = {X – U | U belongs to Q} is called the negation question.

One can observe that NQ is also a topology on X.

A machine is defined as an agent who asks question Q and the corresponding anti-machine asks question NQ. The elements of an anti-machine are defined as noise. The common elements of Q and NQ (the clopen sets), are the common points on which the two machines agree to operate. When Q = NQ, then the two machines are in perfect agreement. It is true when Q is either a discrete topology (the power set) or indiscrete (whose elements are the empty set and X). In this case, the universe is totally noisy. A machine and anti-machine make a universe. Therefore both a machine and an anti-machine are the essential parts of a universe.

There are various sources of noise. The empty set is the most important one, it defines a universe. In the human body, I identify the heart as a machine and the rest of the body is an anti-machine. The ideas or thoughts correspond to the empty set.  One is free to choose any part of a universe as a machine and the rest of its parts are an anti-machine.

Dark matter, dark energy, Cosmic Microwave Background and various interactions are the other elements of an anti-machine. Identification of all the elements of an anti-machine is very crucial. It is possible to kill death and enjoy an infinite life. When thoughts are quantified; dream that you are dead. Quantify this idea and kill it.