Brain and Universe as Fractal
Our brains are 3-dimensional fractal objects with a very large curvature area along the scales of diminishing volume possibly down to quantum level. My brain stores and processes a vast amount of visual, auditory and sensory functions much greater than our external senses. For the mind sitting inside the brain a memory that is years old like it has just happened.
As the brain, lungs and veins have a small volume covering a large surface area, and the universe is fractal on larger scales then isn't it possible for the volume of the universe to be wrapped around a much smaller 4-dimensional space or space-time. A universe nearly infinite could be comparatively small and compact in a higher dimension. This may make it easier to travel in hyperspace because the distance in hyperspace would be very small for a large distance in normal space.
I am now interested in what fractals of greater than 3 dimensions would look like and how to visualise them. An object of dimension 3.01 should be recognisable as a very slight deformation in 3-dimensional space but an object of dimension 3.9 may only be seen in the mind if the mind knows where to look. That is without reducing the situation to slices of lower dimensions that build up a picture (such as can be done with computer software). I think the main problem here is the poor quality of our visual sense when compared to what can be generated within the mind (from dreams, visions and hallucinations).
There are theories in existence that consider the universe as fractal and a generator of bubble universes (with new universes budding from the parent universe but with disconnected space-time dimensions). Also could time be fractal too? Imaginary time can be represented on the y-axis of a diagram with real time on the x-axis giving the temporal possibilities of decision branching. A decision is made and the result of another option exists in the parallel universe that is generated. There may be a causal link between some of the universes created through these two processes.
Of particular interest would be the application of fractal maths to a theory of quantum gravity and why we are having trouble in deriving or understanding a theory. If such a theory exists would it not make use of a branch of mathematics that takes account of fluctuation and instability on all scales and also allow for mechanisms of propagation in directions (dimensions) perpendicular or partial to a singularity or a time within the Planck scale? For example, the creation and destination of a wormhole may be manipulated using such a new science.
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