Behaviours

A Behavior

A quantity (e.g., an apple) when quantified can be assigned with incoming action. The moment it appears inside the space; it becomes part of the measurement system (you took the most fundamental measurement). That space is your measurement space, where measurement is taking place in your reference. Let us represent this measurement with symbols or words:

One Apple | 1 Apple | + Apple | 0+Apple

Each of these expressions signifies the same fundamental event: the transition from Zero (0) to the presence of an apple due to an incoming action (+).

It is important to note that the idea of “zero” is not only an absolute absence but rather a state of the system such that the resultant measurement reflects the same state as if no measurement had been taken at all.

Thus, the above notation accurately represents this measurement process. This state can be expressed as simply '1' which represents both the quantity, and the behavior of incoming assigned to that quantity which ultimately reflects our measurement. Since you start observing that apple, it came under your measurement space.

More generally, positive numbers serve not just as abstract symbols but as real representations of measured quantities.

Extending this concept further, what if another apple enters the measurement space? Well, our current measurement, which looks like this: (0+Apple) is represented as a state: 1

Now the updated measurement is (0+Apple+Apple) which can be represented as a state: 2

Two Apples | 2 Apples | +2 Apples | (0+1)+1 Apples | (0+2)Apples

Above all expressions represent the same state of the measurement space.

An Opposite Behavior

When a quantity (apple) is assigned with an action of outgoing. As soon as it exits your space or is assigned with a tendency to exit your space [an opposite action or behavior], it is no longer yours now. It means you are reducing your स्वं (owned quantities) known as क्षयगं (a quantity with opposite behaviour). Let us represent this measurement with symbols or words:

One Apple removed out of two Apples, or an apple is assigned with an opposite behavior such that it gains the tendency of going out of the system. Initially we had 2 Apples:$[(0+1)+1]\ or\ (0+2)\ or\ (+2)\ or\ 2$, and then we performed an opposite action (-) to an apple (1) which can also be understood as assigning an opposite behavior.

Hence, $((0+1)+1)-1$ can be expressed as ((0+1)+1+\dot{1} ̇)\ or\ (2+\dot{1})$(0+1+1+\dot{1})$, which can be expressed as simply '1' because ultimately it reflects the same state of our measurement space as it was with the incoming of 1 apple in the beginning^[1].

Hence, the negative numbers that we write in our paper are not merely a symbol but the actual measurement of a quantity.

Don’t worry about this symbol $(\dot{1})$ now. We will discuss this in detail later. For now, just think it as (-1). However, this symbol is extremely crucial. The reason will soon become clear to you.

Whether you add something or remove something, you are taking the measurement with the help of an action. That action can be anything. If adding something (addition) is a measurement, then removing something (subtraction) is also a measurement.

According to modern mathematics, "Numbers make measurement possible".

This theory claims, "Measurement makes numbers exist". Measurement comes first and then come numbers to represent that measurement.

Numbers gain significance only after the act of measurement, otherwise they can be used but are mere symbols nothing else. Measurement gives rise to the existence of numbers, as they represent measurement itself. However, this leads us to inquire: what exactly is measurement, and what are numbers?