The expanding fractal
The expanding fractal
Update 2014 09 22
Yesterday I published/posted at academia.edu :
Fractal Geometry a Possible Explanation to the Accelerating Expansion of the Universe and Other Standard ΛCMB Model Anomalies
also at: http://vixra.org/abs/1503.0232
Abstract
perception value of events with the passage of time.
Update 2014 09 22
Yesterday I published/posted at academia.edu :
Fractal Geometry a Possible Explanation to the Accelerating Expansion of the Universe and Other Standard ΛCMB Model Anomalies
also at: http://vixra.org/abs/1503.0232
Abstract
One of the great questions in modern cosmology today is what is causing the accelerating
expansion of the universe – the so called dark energy. It has been recently discovered this
property is not unique to the universe; trees also do it and trees are fractals. Do fractals offer
insight to the accelerating expansion a property of the universe and more?
In this investigation a simple experiment was undertaken on the classical (Koch snowflake)
fractal. It was inverted to model and record observations from within an iterating fractal set as
if at a static (measured) position. New triangles sizes were held constant allowing earlier
triangles in the set to expand as the set iterated.
Velocities and accelerations were calculated for both the area of the total fractal, and the
distance between points within the fractal set using classical kinematic equations. The inverted
fractal was also tested for the Hubble's Law.
It was discovered that the area(s) expanded exponentially; and as a consequence, the distances
between points – from any location within the set – receded away from the observer, at
exponentially increasing velocities and accelerations. The model was consistent with the
standard ΛCDM model of cosmology and demonstrated: a singularity Big Bang beginning,
infinite beginnings; homogeneous isotropic expansion consistent with the CMB; an expansion
rate capable of explaining the early inflation epoch; Hubble's Law – with a Hubble diagram and
Hubble's constant; and accelerating expansion with a ‘cosmological’ constant. It was concluded
that the universe behaves as a general fractal object. Thought the findings have obvious
relevance to the study of cosmology, they may also give insight into: the recently discovered
accelerating growth rate of trees; the empty quantum like nature of the atom; and possibly our
perception value of events with the passage of time.
My Youtube presentation of fractal expansion (fractspansion).
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