What are the philosophical implications of fractal geometry?
Credit: james-longely-mosque-ceilings-5 - James Longley captured the dazzling beauty of Isfahan mosque ceilings: http://www.isoacourses.com/2018/02/04/photographer-captures-the-dazzling-diverse-beauty-of-iranian-mosque-ceilings/
The Measure of Humanity is in His Participation in Consciousness: The Conjugacy of Truth and Beauty.
Fractal beauty lingers in our consciousness. Why?
Is consciousness the subjective form of fractals, which expresses its objective form? Fractals and consciousness exhibit principles of conjugate geometry conjugate forms of the same idea.
Fractal geometry paves the way for the realm of nature to be understood on the basis of a spatial theory.
It gives credence to the view that the cosmos is for display purposes by explaining how and why it should be so. In recent years, there have been an explosion of studies on fractals that adds bulwark to this credence.
Observation: The realm of nature conspires to produce beautiful objects that exhibit mathematical properties. The persistence of beauty at every level in the cosmos is the result of a conscious being who is meticulous about displaying beauty. There exist a systematic persistence of the exhibition of beauty in the cosmos that humans should notice.
Fractal geometry puts the traditional perspective back of the primacy of geometry back into the spotlight. I would be be on the right track if if I say that fractal geometry weaves the ideas of Pythagoras, Fibonacci and Mandelbrot together into a harmonious whole.
Unlike physical theories, fractal geometry lends itself to interpretation of the cosmos as a manifestation of the intelligence and will or desire of a Supreme Being.
Fractal geometry deserves to take its place in scholarship as the premier in its own right.
Fractals rigorously connects our consciousness with beauty in the cosmos.
The fractal formulation of the cosmos is fundamentally different from the physical theories in that in brings together consciousness and love of beauty into the cosmic framework which expresses certain intentions via structural designs whereas physical theories are described on the basis of randomness or haphazardness.
A quick aside: Brownian motion is an exhibition of a Markov process and is not haphazard as once thought.
Fractals are the objective form of consciousness, which is constitutionally subjective.
Consciousness differentiates into intelligence and love. The object of intelligence is truth, while the object of love is beauty.
Consciousness differentiates into intelligence and beauty according to the Fibonacci proportions - 1:0.618
Intelligence-love are a conjugate pair. And imperatively, so is truth-beauty.
Conjugacy joins intelligence to truth and love to beauty.
Conjugacy brings intention into the cosmic phenomenon so to speak because the beauty of forms can only result from the action of will, of Divine willpower.
The subject of fractals which lends itself to mathematical rendering with rigor in the modern sense ties in very well with Plato’s ideas of archetypes, .
The fractal approach to the cosmos marries the rigor of mathematics with the beauty of manifested forms.
The cosmos is woven of mathematical rigor and musical play.
The concept of resonance in the cosmos weaves mathematics and music into a harmonious whole.
There exist the phenomenon of fractal zoom that the realm of nature exudes which can be described as a lingering imprint of beauty onto human intuition. Fractals are already imprinted onto our cognition by the time that we are born.
The proliferation of spirals in the cosmos is the direct result of Divine willpower, Divine measure of beauty. Spirals optimizes beauty. In particular, the logarithmic spiral expresses lingering beauty which we can intuitively recognize immediately.
Babies are born already able to recognize the logarithmic spiral which is a fractal. The logarithmic spiral expresses beauty which is why it is the rule rather than the exception that static spirals appearing in nature are logarithmic spirals.
Logarithmic spirals are the resultants in nature because of there exist motivation behind it to produce beautiful things.
Fractal geometry engenders the right attitude towards a rigorous formulation of the cosmos because it is based on spatial analysis, which stands apart from, and stands above physical theories. Matter is a function of space because space engenders matter.
Design of the cosmos and structure of existence. Gel water
The unit circle and integrity.
DNA expresses the logarithmic spiral
Further reading:
Interpretation of the Mandelbrot Set: Chaos is Mathematically Deterministic: https://thestructureofconsciousness.blogspot.com/2021/05/interpretation-of-mandelbrot-set.html
1 : 0.618 – the Gold Standard in Aspect Ratios - https://www.onepager.com/community/blog/1-0-618-the-gold-standard-in-aspect-ratios/
Logarithmic spiral - https://infogalactic.com/info/Logarithmic_spiral
https://mathworld.wolfram.com/Fractal.htmlhttps://geekhaus.com/math103_fall2017/2017/09/04/logarithmic-spiral/
The fractal dimension of the ocean surface -
'Colloidal gels,' ubiquitous in everyday products, divulge their secrets -
Not to be included - Homogeneous percolation versus arrested phase separation in attractively-driven nano emulsion colloidal gels†:
Not to be included - Polymer Gel -
What is a Fractal? -
