an irrational number that never ends and continues into infinity.
Monday, 10 June 2013
The Mathematics of Quantum Atom Theory an artist theory on ‘time’ as a physical process
The video above is different from my previous videos. In my previous videos I explain Quantum Atom Theory an artist theory on the physics of ‘time’ as a physical process. I did this by using as little mathematics as possible. The mathematics was always there in the diagrams but I tried to make everything as simple as possible in the belief that everyone should be able to understand this theory!
This video will explain the mathematics this will be quite easy to follow because the mathematics of this theory is based on the geometry of a physical process.
I believe this is important a theory that only has a mathematical understanding like quantum mechanics can never be a complete theory.
Also a theory that was based solely on observation but had no mathematical base would be lacing in a very important way.
I will start with this diagram representing the flow of time. In the top left hand corner we have the equation known as Heisenberg’s Uncertainty Principle with 4π representing a sphere.
We have 4π in this equation because the uncertainty principle is formed by the quantum wave particle function or probability function of Quantum Mechanics that expands out as an inverse sphere.
It would be logical if ‘time’ was formed by this process that represents the spontaneous absorption and emission of light. That ‘time’ would expand out in every direction in three dimensional space with the expansion of the Universe.
But this is not what we observer ‘time’ is two dimensional with a past and future and a time line forming an Arrow of Time that modern physics cannot explain.
Almost everywhere else in this diagram we see 2π the reason for this is that equations with 2π have cylindrical symmetry a form of line symmetry.
This line symmetry is formed because when light comes in contact with matter it forms a photon electron coupling and we have matter anti-matter annihilation in just one direction forming the Arrow of Time in that ref-frame.
In the lower right hand corner of the diagram we have the Planck Constant h/2π representing a constant of action in a dynamic process that forms the Arrow of Time.
Also we see Heisenberg’s Uncertainty Principle reformulated with energy and time with 2π representing the time line instead of the 4π representing three dimensional space.
Note also that the oscillating wave represents harmonic motion and that the equation representing the movement of the pendulum is typical of equation representing the movement of objects. With 2π representing a universal process of spherical symmetry forming and breaking that we see and feel as the flow of time.
This diagram shows the complex plain with the positive and negative numbers and the imaginary number going off at right angles with zero in the centre.
This still represent the geometry of a physical process. The zero represents zero time or t = 0 the moment of now formed by light interacting with matter. With the positive numbers marching off forming a potential future with a square of probability and the negative numbers receding towards a limitless past representing the positive and negative of EMW.
In the top left hand corner we have Maxwell’s second law with north and south magnetic poles cancel out equalling zero within a sphere 4π of uncertainty
This forms the continuous flow of electric charge with the movement of electromagnetic fields. The electric fields will always be at right angles to the magnetic fields because the momentum of the light will always be at right-angle to the surface of the sphere. This is represented on the diagram by the imaginary numbers being at right angles to the real numbers.
In Maxwell’s theory of ‘magnetic fields’ any moving charged particle creates a magnetic moment. Because positive and negative charge is an innate part of matter that keeps cancelling out this process is universal and continuous forming the continuum of time moment by moment.
On the lower left hand side of the diagram we have Dirac equation that also equals zero representing zero time or t =0 with matter antimatter annihilation forming the magnetic moment or dipole moment with the future coming into existence photon by photon quanta by quanta.
This magnetic moment is formed when light waves interact with matter to form a photon electron couplings and the electron is the most spherical object in the Universe
This spherical symmetry or organisation forms the low entropy that creates the possibility for the continuous increase in entropy or disorganisation that we have in the Second Law of Thermodynamics as time unfolds.
As photon energy cascades down it forms greater degrees of freedom for the increase in entropy or disorganisation forming the uncertainty of everyday life.
In the top right hand corner of the diagram we have Euler Identity the most beautiful equation to come out of the mind of man. But this beautiful equation has no meaning or purpose in modern physics.
But in this theory Euler Identity is interwoven into the dynamic fabric of our Universe. With the plus one representing one quanta or photon equals zero time t = 0 the moment of now.
To understand this further we have to use the next diagram that shows how this spherical symmetry breaks forming spiral symmetry that has line symmetry for the Arrow of Time.
When the spherical symmetry is broken it forms spiral symmetry in the form of the Riemann surface rises up out of the Complex plane forming a spiral pattern. Euler Identity is at the heart of this process. The easiest way of looking at this is that the only number you could add to the number one to get zero in minus one and this forms the rotation that breaks the spherical symmetry. Also in mathematics the imaginary number i is the square root of -1 there is no objective understanding to this, you could say that this is just the way mathematics is.
But is this theory the imaginary number i is the square root of -1 because it is part of a physical process linked to the square of probability.
There will always be uncertainty at the quantum level and in our everyday life because the imaginary number i is the square root of -1 representing this rotational symmetry that maintains the probability function at t = 0 the moment of now .
It may seem at times that the theory is explaining the paradoxes of mathematics rather than the mathematics explaining the theory.
This is because human mathematics is based on the dynamic geometry of this theory this can be seen in the way Euler Identity and imaginary numbers are part of the theory.
Each rotation of the origin 2π cylindrical symmetry has to be added and we find ourselves on another sheet of the complex plane. This spiral symmetry form line symmetry representing the time line or Arrow of Time.
The entire spiral pattern is equivalent to a sphere 4π with a single minimum dynamic origin formed by spherical symmetry.
When the spherical symmetry is broken it forms the imperfect spiral symmetry of life that is visible in nature. This is because if the quantum wave particle function Ψ or probability function is reformulated as a linear vector ǀΨ (t) > then all the information I have found says that each new vector is formed by adding the two previous vectors together this forms the Fibonacci sequence 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, ∞ ad infinity!
In this theory we have the Fibonacci numbers in nature not because of economy of growth or space but because time and space is being formed by the geometry and therefore the mathematics of this dynamic process.
As can be seen on the diagrams we already have zero representing ‘the moment of now’ time equals zero with +1 and -1 representing the positive and negative of electromagnetic waves. Therefore we even have the start of the Fibonacci sequence 0, 1, 1... In the diagram this is linked to Euler Identity giving this beautiful equation a place in the structure of space and time!
In this theory the Fibonacci sequence can also be mathematically linked to the Fine Structure Constant 137
Richard Feynman in one of his physics lecture said that every theoretical physicist is trying to find a reason for the size of the Fine Structure Constant 137…
The fine structure constant 13703599... ∞ or the Coupling Constant C2 is
an irrational number that never ends and continues into infinity.
an irrational number that never ends and continues into infinity.
This theory predicts that the fine structure constant is a geometrical constant in the physical process that forms the dynamic geometry of spacetime and is the size it is because if you take any two consecutive numbers of the Fibonacci series greater than the number 8 and form them into a fraction. If you then multiple by 360 to get 222... and then subtract this from 360 the result will always be 137... It is a constant in the dynamic geometry of spacetime.
To explain how the probabilistic nature of quantum mechanics can represent the potential possibilities and opportunities of everyday life we have to use the mathematics of the electromagnetic force that is based on the work of Michael Faraday.
Because the light photon of quantum mechanics is also the carrier of the electromagnetic force this can be seen as one universal physical process.
In this diagram instead of having zero in the centre of the diagram representing time equals zero. We have Q representing charge. Instead of having a number line representing the future we have a test charge represented by a little q. The future is represented by potential energy in the form of voltage acting on a charge to move the charge from one point to another point.
The voltage is the work done to bring a test charge little q from infinity all the way in to a point that is a distance r away from the main charge Q.
This gives us a totally objective understanding to electromagnetism we have to do work by putting energy into something to create the potential of our own future.
Because this is a universal process it must be the same for all electrical activity therefore electrical activity in the brain can be seen as the most advanced part of this universal process!
Therefore conscious thought is always in the moment of now. With a continuous stream of thoughts and ideas that can comprehend this process as ‘time’ as an interactive process of continuous creation with a potential future infinity of possibilities.
By dumbing down consciousness to the level of electrical activity that is aware of its own electrical potential we can place the individual observer in the centre of his or her own ref-frame as an active participant in the dynamics of our Universe. Life will create its own ripples in the fabric of spacetime as part of a one universal process. This is true for the smallest creature as it is for the largest planet.
Therefore Newton’s universal law of gravity is part of this process!
In this theory Newton’s apple does not fall to the ground because of the downward force of gravity but because of the upward momentum of EMR or light. Gravity is not a real force at all it is a secondary force to the EM force. Objects just free-fall towards the greatest energy because it has the slowest rate of time or greatest time dilation.
I believe this can be seen in the mathematics with both the gravitational force and the EM force having the inverse square law.
We have the inverse square law because the surface area of the light sphere increases with the square of the radius. Thus the strength of the gravitational field is inversely proportional to the square of the distance from the source.
There is no mysterious action at a distance the gravitational field will work at the speed of light because it is an integral part of one universal process with the EM force!
We have one universal process that begins with the quantum wave particle function Ψ or probability function of Quantum Mechanics expanding out as an inverse sphere and ends with the inverse square of gravity and Newton’s third law of motion, “to every action there is an equal and opposite reaction” Gravity is the opposite reaction to the atoms radiating quantised spherical wave fronts of electromagnetic radiation.
So far in this video this theory has been explained using the mathematics that we already have. Now we are going to look at the one new equation that this theory is based upon. (E=ˠM˳C²)∞
In this equation the Lorentz contraction of space and time is between the energy and mass. The greater the energy the greater the time dilation and the slower time will run. Mass will increase relative to this and each ref-frame can be seen as a vortex in space formed by the rate that time flows. The C² is light radiating out in all directions forming a sphere of probability. It is a probability wave of a potential future event and during the act of measurement the magnitude squared or C2 gives a probability for different potential future outcomes. The brackets represent the dynamic boundary condition of the ref-frame this is formed by the surface area of the sphere 4π that forms a two 2π dimensional boundary condition.
The infinity symbol represents the whole Universe as an infinite number of dynamic ref-frames that are continuously interacting forming the uncertainty of everyday life.
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