Energy equals mass times the speed of light squared E=MC², Einstein's famous equation, but why is light linked the energy and mass in this way? Could the reason be linked to spherical 4πr² geometry and the light photon ∆E=hf of quantum mechanics? Spherical geometry would explain why so many properties are squared r² in physics as in t², c², e², ψ² and velocity v² as in kinetic Eₖ=½mv² energy.
Spherical 4πr² geometry will naturally form a three-dimensional process (three-dimensional space) that has to be squared r² if the process is relative to the surface of the sphere. The surface of the sphere forms a two dimensional manifold for the movement of positive and negative charge that forms the Holographic Principle. The information of our three dimensions is encoded on this manifold with an uncertain ∆×∆pᵪ≥h/4π future unfolding with the exchange of photon energy.
One way to think of quantum physics is that the wave particle duality of light and matter in the form of electrons is forming a blank canvas for us (atoms) to interact with; we have waves over a period of time and particles as an uncertain future unfolds. The mathematics of quantum mechanics represents the physics of time with classical physics represents processes over a ‘period of time’ as in Newton's differential equations. In this theory the mathematics of quantum mechanics represents geometry, the Planck Constant ħ=h/2π is linked to 2π circular geometry representing a two dimensional aspect of 4π spherical three-dimensional geometry. We have to square the wave function Ψ² representing the radius being squared r² because the process is relative to the two-dimensional spherical 4π surface. We then see 4π in Heisenberg’s Uncertainty Principle ∆×∆pᵪ≥h/4π representing our probabilistic temporal three dimensions life. The charge of the electron e² and the speed of light c² are both squared for the same geometrical reason. We have this concept because the electromagnetic force forms a continuous exchange of energy forming what we experience as time. The spontaneous absorption and emission of light photon ∆E=hf energy is forming potential photon energy into the kinetic energy of electrons. Kinetic Eₖ=½mv² energy is the energy of what is actually happening. An uncertain probabilistic future is continuously coming into existence with the exchange of photon energy.
Because the electron e² is squared, there is the potential for energy levels from the Sun to cascade down relative to the Golden Ratio ϕ forming the golden angle 137.5 and Fibonacci Spiral. This is a very simple process based on spherical 4π geometry. We have to square the radius r² because the process is relative to the spherical surface. This can be seen in the maths with wave function Ψ², electron e² and the speed of light c² all being squared forming the Inverse Square Law of electromagnetism and gravity. The mathematics of the Golden Ratio is divided into two parts A and B. This can represent the absorption and emission of light photon ∆E=hf energy that forms a process of continuous energy exchange. Mathematically we have to square section A to form the golden rectangle out of section B. If we continuously repeat this process with smaller and smaller rectangles, we form the Fibonacci spiral. And this is exactly what we have within this process in the Subatomic world we have a square in the form of the charge of the electron e² being squared. The spontaneous absorption and emission of light photon energy forms a repetition of the process forming the Golden Angle 137.5 in the form of geometrical self-similarity. The golden ratio - 1.618 – forms the topology of space-time dictate how certain things in the universe take shape. Therefore, we have the Golden Section not only to aspects of mathematics but also in physics, chemistry and biology. We see the Golden Mean in almost everything that is a process over a period of time. This is because the process forms a universal constraint that arises photon by photon as a process of continuous creation. In this way the Divine Proportion or Golden Ratio, represented by the Greek letter phi is a geometrical connection between two aspects of an object as the future unfolds with each new photon electron coupling or dipole moment. Some people think that our fine-tuned universe is simply a lucky coincidence and, under the multiverse theory, there are an infinite number of other universes that were not quite so lucky. But in this theory luck had nothing to do with it, our Universe is based on simple three dimensional geometry!
No comments:
Post a Comment
Thanks for your kind comments, critical comments are also welcome. Be sure to check back in a couple of days to see my response back to your comment, thanks again.