Are number real? And if so, do they predate the notion of reality? It is rare that we consider the origin of mathematics and number, yet when we do, we begin to realise that reality itself could have never come into existence without them.
Overview
The concept of geometry is key to the nature of time and space. When we examine the structures at various scales of existence, we can see that a numerical framework is at play. From the galactic spirals that incorporate the Golden Ratio, through our Solar System, to life on earth, that codifies the growth through the Fibonacci numbers. After this, the pattern changes to a double sequence found in the division of cells. This in turn is predicated by the up and down quantum spin states of the electron, which lies at the foundation of reality.
KEy Points
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Numbers are more than just a human invension, they are intrinsic to reality
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At the atomic and Cellular scales we observe the division process
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On earth we find the fibonacci numbers, which approximates the golden spiral, found in the pentagon at the solar and galactic scales.
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Concept
Are Numbers Real?
The concept of number is central to the nature of reality, which comprises objects in space. Space and time lie at the heart of all experience. Yet both are metered by number. Whilst mankind has developed various exotic forms of mathematics, which can be used to model and predict the outcomes of reality, there is a deeper notion of number that is often never considered. That of number itself.
From the perspective of mathematics, zero sits at the centre of an infinite set of positive and negative whole numbers. Zero divides the number line equally into 2 infinite sets, just as all electrons which produce the structures of matter can only be in an UP or DOWN spin orientation. Similarly, all light waves are sinusoidal, changing in phase as they cross the zero line. Therefore, we can see that number plays a crucial role at the foundations of all reality.
But could the notion of number extend beyond our 3D reality? We certainly use the lower dimensional concepts of number, such as the dot (0d), line (1D), and plane (2D) to model reality, using graphs and similar tools. We are also able to extend mathematics to model higher dimensional spaces as well. Therefore, we can conclude that number must also extend into dimensionality far outside our awareness of existence.
What sets this notion apart from other types of number employed by mathematicians, it that it is based on geometry and ratio, which are themselves spacial in nature. A cube does not need a mathematical equation to be represented in space. It is its own representation. Similarly, a smaller cube can be in a ratio to the other without any need for us to mathematically calculate the fact. Thus, geometry ratio and dimension are forms of number that transcend the man-made nature of number, being direct expressions of reality.
One with everything
This nature of numbers exposes a particular view regarding the origins of our very universe. Even if the Universe were an infinite construct, then all the stars, planets, and atoms could be represented as a number between zero and one.
This idea, supports by the nature of the Zero Boundary and Infinity around ONE, leads us to reconsider, how did it all begin.
Into the Void
If we could imagine a vast infinite empty space. A void without end, then we would have succeeded where even the God of he Bible had failed. For even the story of creation begins with the face of God ‘ floating’ over the water. Below an unfathomable deep, and above the endless void.
For anything to make sense of infinity, we need to have some kind of reference point. Mathematically we could call this zero, as we have already described how zero sits at the center of infinity.
But how did it get there?
Division creates Polarity
If we were to divide something that is completely neutral and infinite, it would become divided into two equal infinite parts. I.e. positive and negative numbers. As the two most fundamental infinite sets, we find that Zero is the produce of the division of an infinite non-polar space. Therefore, the number zero arises out of the division of infinity. From this perception, the mathematical function of division, precedes any other kind of mathematical operation.
In fact, it is the division of a non-polar infinity that create the concept of positive and negative, which is what addition and subtraction are. We normally omit the + symbol in front of positive numbers, but in truth, addition and subtraction are just a combination of numbers of differing polarity. Zero is the point that separates these two types of polarity. This also explains why the zero boundary is found through the process of division.
Key point
Division creates the functions of Addition and subtraction
You are at the centre of your own infinity
This concept is relatively simple, yet exceedingly deep. In reality, each object, including yourself, exists in a unique location in space. Each exhibits a dot at its centre, from with the infinity of space expands. It is from this point that each of us observes the world. Furthermore, we often judge our experience on a scale of number, good or bad. We have positive and negative thoughts. We order our experience of reality based on these mental scales. When examined independently, we are each examining the nature of reality, from a zero point, which is our unique frame of reference.
Doubling into infinity
If the first division created the separation of numbers into a positive and negative infinite set, then the boundary at the end of this infinite space is represented by the number ONE. From this the ‘container’ for reciprocal space, and so all other numbers is primed to exhibit any number imaginable.
If we repeat the process of division then the reciprocal space is divided into two equal parts. The division marks as the half way point, 0.5. From the perspective of whole units, we have created up to the number 2.
If we repeat the process of division, will will create a doubling sequence, 2, 4, 8, 16 and so on, all the way on into infinity. each division can also be expressed as a whole number series.
The doubling sequence is one that is key to the nature of realty
Cellular division
The doubling sequence is key to the formation of all life. This is most evident at the biological scales of existence. From a single cell, all life emerges through the process of division.
The cells of a human being divide from 2 to 4 to 8, on consecutive days. After which there is a rapid increase in cell multiplication.
All animals begin life in exactly the same way, which denotes the importance of this fundamental mathematical process in the formation of all life.
Fibonacci Numbers
Beyond the biological scale of reality, the formation of life begins to adopt a more complicated numerical series, known as the ‘Fibonacci Numbers’. Beginning with 1+1=2, the sequence progresses by adding together the answer to the largest value of the previous sum, so that 1+2=3, and then 2+3=5, and so on… This produces a number series, 1,1,3,5,8,13,21…, which can be placed in a rectangular formation to form a spiral.
This rectangle and number series if found in a wide range of natural phenomena. Notice that the spiral starts with 2 square blocks of the same size, which is seen to contain the seed on the entire infinite set of the doubling series, show in the previous image.
Number beyond the earth
Event the solar system can be seen to be structured through numbers, and geometry. By taking the mean orbits of the planets, we find that their spacings can be very closely.
Notice how the triangle maps the planets at the start and end of the planets, whereas the 5-point star maps to Mercury, Earth, and Saturn.
Galaxies and beyond
The Milky Way is a binary galaxy, with spiral arms that closely match the Golden Spiral. This is formed by the 5-pointed star, that produces an ever smaller version of itself at the centre.
Thus, we can see, the nature of number structures the nature of reality down to the cellular level, where the phi ratio transforms into the Fibonacci numbers, down to the doubling sequence found at the cellular level.
Beyond the 3rd Dimension
Beyond 3D reality is the 4th dimension, time. We suggest that spacetime also exhibits a 4D geometric nature. Time is in constant motion. Similarly, a 4D object can be rotated on the time axis (w-axis), whilst appearing to be completely stationary from our 3D perspective. Just like an object in space remains stationary in our environment, yet still passes through the passage of time.
The simplest of 4D forms is the torus. The torus field is found to divide the various scales of reality. For example, the earth is surrounded by an electromagnetic field with a North a South Pole. Atoms also exhibit a polar phenomena, as do many molecules, such as water.
4D time space
The 4th dimension expresses other uniform polytopes, similar to the 5 regular Platonic Solids in 3D space.
One of these is the 4D Cube or ‘tesseract’, which in 3D appears as 2 cubes superimposed in the same space. The cube is the only regular solid to fill space by itself. This explains the isotropic nature of space. Whilst objects may appear spherical in space, the space in which they appear is flat. For this reason, we are able to measure the distances between far off stars using simple Pythagorean theorem, a²+b²=c².
This flat nature of space can be explained by the qualities of a cube. Time-space is therefore rendered by the 4D cube, as one cubic unit of space is replenished by the next, rendering moments of time.
Geometry expands from the dot into higher dimensional forms through a specific set of laws and principles. But comprehending these concepts, a new perspective of time, space and reality begins to emerge. The Universe is predicated on geometric number, and ratio.
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Conclusion
what did we learn about Number?
Numbers are intrinsic to our understanding of reality, and also how reality is structured. However, we should differentiate between man made systems of number, to those which can be expressed through geometry and ratio. The Universe is constructed from natural laws such as the speed of light, gravity, and mass, which gives rise to the appearance and structure of the entire universe. Therefore, numbers are not just a human invension.
What did we learn about Mathematics?
Mathematics is a system of number, that at its foundation exhibits 4 types of operators, additions, subtraction, multiplication, and division. From this, we can ascertain that division initiates all the other operators, which defines the zero point at the centre. This point becomes the centre of infinity, and divided into positive and negative infinity. It is from these conditions that light waves and the electron cloud can come into existence.
Carry On Learning
This article is part of our new theory, ‘Harmonic Philosophy’
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