Quantum Cube (Why Energy Equals Mass Times The Speed Of Light Squared)
Medium: Drawing (pencil on paper)
Price for the original: $4,000
This diagram shows in a simple and elegant way where energy may come from.
This shape has been drawn by artists, mathematicians, physicists and others for thousands of years. Some call it sacred geometry, some call it by scientific terms such as grid or lattice. I call it a Planck lattice or the discrete structure of space time.
This explanation is a little long but the reward is immense if you are interested in knowing where energy (which means matter, which also means you) may come from, so please bear with me.
Each side to every small equilateral triangle in this diagram represents something called a Planck length. A Planck length is the smallest piece or slice of space that can be observed (or exist relative to us). There is no relative measurement smaller than a Planck length. It comes from a Nobel Prize physicist named Maxwell Planck who showed that when you try to squeeze two light waves onto a "pixel" smaller than the Planck length (1.616229(38)×10−35 meters) it collapses into a microscopic black hole and absorbs the photons leaving nothing to observe. That's why you cannot have a distance that is 1 1/2 Planck lengths because the 1/2 is smaller than the Planck length. This means that when measuring (or observing) slices of space you can only measure one or whole multiples of Planck lengths. In other words, anything with space (or geometry) must be made from EXACTLY one or whole multiples of one Planck length.
When you try to 'draw' the shape of space you must make all points one or whole multiples of one Planck length away from each other. This requirement automatically creates the grid like structure of space time. This diagram is the ONLY way that space can be drawn with whole multiples of Planck lengths.
Because there are no fractions, the shape that arises is a two dimensional hexagon which makes more and more hexagons of all sizes. Space is a fractal, a shape that when you decompose it into pieces, the pieces are the same or similar to the whole. If you view it three-dimensionally you will see that it automatically creates three dimensional cubes that create larger and larger cubes (a fractal also). This is 'why', as Einstein stated, that space time has a grid like structure. This is where that grid structure arises from, it arises from the fact that all measurements are made of whole multiples of the Planck Length.
Now that we have defined a possible structure of space time based on the Planck length, let's look closely at what happens when we 'vibrate' this grid (or Planck lattice) structure. There is something called the Uncertainty principle in physics. What it states is that you cannot locate a particle position and velocity BOTH with perfect precision. In other words, when you are looking at a point of space time, it 'vibrates' because you cannot define its position and velocity perfectly.
Each piece of space time vibrates at the speed of light. Hence, every Planck length (each tiny piece of space time) vibrates at the speed of light. This is one of the most integral and difficult parts to understand. Everything, every particle in you, in the universe is always moving through space and time at exactly the speed of light. If you move faster through space you move less through time and the slower you move through space the faster you move through time. But your total motion through space and time always equals precisely the speed of light.
Now look at the center of the diagram and picture it vibrating at the speed of light. Notice that when it vibrates, it vibrates the points connected to it. Also see that the vibrations continue outward and collide with each other head on (at the speed of light) at specific points. This is where the speed of light squared comes from in Einstein's E=MC^2.
Now that we have half of his equation all we need to find is mass. To find the mass all you do is add up the number of Planck constants (since each have a specific mass) to give you the total amount of mass in a vibrational sequence. So what you have is energy equals the total Planck constants in the vibration (this equals mass) times the speed of light (how fast the Planck vibrate), squared (as the Planck constants collide head on at the speed of light).
In reality there are trillions and trillions of collisions occurring at different frequencies. That is what gives rise to all colors, EM waves, gravity, etc. In the diagram I've drawn collisions at the most common points so it is easier to picture. The equation at the bottom of the diagram describes energy in pure equation form.
Maxwell Planck (who discovered and named the Planck constant), won the nobel prize in physics and discovered that Energy=hf. In words, the energy of a photon equals the Planck constant (the 'h' symbol) times frequency (the 'f' symbol).
Albert Einstein discovered that Energy=mc^2. In words, energy equals mass times the speed of light squared. Since Energy=hf and Energy=mc^2, then they both equal energy and therefore equal each other.
Combining these two equations and seeing the shape of space time vibrating at the speed of light is the key to understanding where energy may come from.
Relativity is elegant, beautiful, empowering and humbling all at the same time. Thank you for reading and keep on discovering!