The photo here is my big 500 year old oak in the middle of the lower field. Its branches grow outwards in an amazing fractal maze. The eastern sky at sunset is a fine, soft purple due to some high-stratospheric volcanic ash diffusing the light of the setting sun. Time to think about the universe, the laws of Nature and fractals, especially as they exist when the polarity of the earth and the sky meet in a lightning bolt attracted to an oak tree.
1. Positive and negative charges are two sides of the same 4D point
...explaining why the amount of positive and negative charge in the universe is exactly equal.
Some point-shaped being lives on a circle. His limited 1D vision makes the circle appear to him as a straight line. To actually see the extrinsic curvature he would need to have 2D vision. He is looking at a point in the distance in his circular world. Now he turns around and looks down his circle in the opposite direction. He sees "another" point but this is actually the same point again, looked at from the "backside".
You can extend this to 2D worlds, 3D worlds and so on. The basic principle remains the same. In any n-dimensional closed world or manifold (i.e., closed in yet another higher dimension), every point always shows two projections to our "eyes", provided our spatial vision is limited to those same n dimensions. The projections follow geodesics, 1D trajectories like the circular world of the point creature. Once our spatial vision is extended with one more dimension, it becomes clear immediately that we are looking at a single point only
Much of Nature is mirrored. Yin and yang. When I was hit by lightning as a child, I ended up where all the opposites are the same, big and little, hot and cold, soft and hard. I try to express this in my various art forms over the years and when I was looking for some video to use, talking about fractals, I came across this very beautiful fractal video. It so happened, I was also listening to Bernstein (oh, how I miss him!) conducting Wagner's 'Tristan und Isolde'.
The video here can be played twice while listening to the music. It very much is like what it looks if you are hit by lightning and passing into the place where all the planes of real time and real space converge on the 4th dimension: This is where I met Pegasus, a blazing brigh comet streaming out of that terrible compression!
Few people get to see inside of a lightning bolt. It isn't a 'flash' at all, indeed, since it is a convergenc point, time actually stands still or maybe that is just me, but the more I was involved in this event, the slower time flowed until it seemed to not stop but rather, converge on a single event horizon that was like a well.
The bolt itself is laced. There are many colors, too. The blue threads are like a net, the red is pulsating and yellow runs on the outside. Until one is inside the bolt, then it is very much like this fractal video: the shape of time and space is very hard-edged and complex and it flows away from the convergence while the entity traveling along with the bolt moves as fast as the speed of light but this doesn't seem fast at all, the paradox of movement makes it seem as if one is standing still while the universe flashes past.
When I was hit, my mind decided to not remember anything because it hurt. But my dream life was obsessed with this event and it troubled my childhood dreams something big. It is particularily odd that although the bolt that struck was very powerful and gouged a big gash down the oak tree, I was totally unharmed...except for migranes whenever thunderstorms approach, when they are about an hour away, I can feel their force.
Most humans imagine time flows in only one direction. From my perspective, it doesn't at all. It is as fractal as everything else in this odd universe we live in. The photo of the oak tree here is like the universe: the pellucid sky diffusing the light and this has no weight or thickness but the oak tree is very sharp and twisty yet you can see the other side, the sky, through the branches. But the oak grows out of the earth which is dense and dark and is the gravitational power here.
This is also a metaphor: the birds tonight were singing in the tree as I was walking around the base. They have nests there and in the nests are eggs that are about to hatch and life will spring from them and the birds will live in this great tree and it defines their universe even as they fly in the sky or land on the ground.
When they die, they return to the earth and can't leave it anymore but at the same time, the other part flies up to infinity, past everything, the gravity has no more power. For everything in the universe is a mirror of each other and everything has a yin and yang and a point there they converge and there lies not just death but transcendence.