An introduction to the analysis of fractal geometry

Science What is a Jedi?

An introduction to the analysis of fractal geometry

This is an introductory article covering the most basic principles of the Fractal Holographic Universe theory. The Spacetime Continuum Albert Einstein was the first to discover that space and time is weaved together in a seamless continuum, permeating the universe. This proposition was a radical one in his time and few believed these exotic objects would ever be found.

An introduction to the analysis of fractal geometry

A black hole is normally thought of as a massive object i. In a singularity the known laws of physics break down as the normal rules of our familiar three-dimensional space no longer holds. Here mathematical quantities used to measure Gravity increase to infinity, making concrete physics difficult to formulate.

And this is indeed the main problem barring unification at this time: Yet the physicists of his time were producing mathematical theorems in which the quantum world was given many strange properties, which would never apply to the large-scale cosmos.


Suffice to say, Einstein never liked the emerging science of quantum mechanics, because it gave mathematical descriptions of quantum effects yet never explained any fundamental mechanics causing these characteristics to arise. The physics community were in a position where they were required to take certain qualities as a given, without giving an appropriate explanation for their presence.

The Dual Torus Manifold This discrepancy between physics and scientific reason has not been lost on everyone. Throughout modern history several prominent figures voiced their dissatisfaction with the axioms of Quantum Mechanics.

Among them is Nassim Haramein who already as a child had a hard time incorporating the ideas peddled in his geometry class. No known mechanism brings that information back out. Instead of the analogy of a trampoline, this curling motion generates a geometrization of space-time in which the curvature is comparable to the surface tension of water running down a drain.

Objects are forced to spin because space-time itself curls. As it curves towards singularity, this curling motion approaches the speed of light, generating enormous centrifugal forces which in turn creates expansion. The expanding space is finally overcome by the curvature of space and contracts back towards the center only to repeat the process again.

God does not play dice…

This continuous cycle of implosion and expansion produce the forces of nature known as Gravitation and Electromagnetism. The gravitational field is generated as space-time curves towards the center of the system, and electromagnetic radiation is produced when centrifugal forces near the center forces it to expand or radiate.

Electromagnetic radiation is thus mechanically connected to space-time curvature Gravity and spin. Previously the source of spin in the universe remained unaddressed and objects were thought to spin perpetually in space due to an initial momentum gained in the Big Bang.

Neither could we account for the force of electromagnetic radiation as functions of the space-time manifold. If Einstein was still alive he would most certainly applaud this amendment!

All things are centered by singularity; atoms, planets, stars, galactic nuclei, quasars, universes and even biological cells can actually be understood as black hole-type structures, or singularities, of various sizes.

To better understand this perspective, we must look deeper into the black hole dynamics. These radiating white holes, and the energy dynamics that occur around them, are what we perceive as atoms, stars, planets and such.

Surrounding the vacuum singularity is a spherical boundary named the event horizon. It is interesting to note that this balance of the fundamental forces was previously believed to be present only during the creation of the universe, at the Big Bang.

At the event horizon, where the collapsing geometry and electromagnetic radiation are equal, a constant energy transfer happens between the infinite potential of the vacuum and electromagnetic information — which implies continuous creation at the event horizon of black holes.

In simple terms, energy pulsates into and out from the black hole, creating a feed-back loop of information transfer between infinite potential and finite form.

An introduction to the analysis of fractal geometry

The model implies that Creation happens continuously — here and now — at the boundaries of all black holes, at an internal balance point with infinite potential, and not in some miraculous moment of the distant past. This picture echoes the spiritual understanding held by the worlds wisdom-traditions of Man as a limited being with inherent divinity, in quite the literal sense that all people in has infinite potential within their own form.

The Vacuum Singularity Empty space — vacuum — is unique in the sense that it is everywhere. It fills the space between quarks, protons and electrons, as well as planets, galaxies and the universe itself.

The vacuum constitutes Fluctuations in the vacuum may actually fill a defined volume of space with infinitely finer and finer degrees of vibration, and all vibrating fields considered, the vacuum must be said to possess absolute energy.Perhaps in the future biologists will use the fractal geometry to create comprehensive models of the patterns and processes observed in nature.

Fractals in computer graphics The biggest use of fractals in everyday live is in computer science. The class will give an introduction to the geometry of fractals and to their occurrence in the context of dynamical systems and in relation to chaos theory.

Yakov Pesin and Vaughn Climenhaga, "Lectures on fractal geometry and dynamical systems", American Mathematical Society, Shlomo Sternberg. 8 An Introduction to the Mathematics of Fractal Geometry popular accounts ofthe applications in which no real mathematical understanding has been conveyed-or perhaps even intended.

It is our object in this chapter to make a small contribution filling this gap. Chapter “5 Fractals and Architecture” to chapter “6 Fine Arts and City Planning” deal with the question if fractal geometry can be used in architecture and for the analysis of cities or at least with the question in which ways further research can be done - it lists the possible applications of fractal-theory in fine-art, city-planning and architecture, with regard to analytical, formal and practical aspects.

Buy Fractal Market Analysis: Applying Chaos Theory to Investment and Economics on FREE SHIPPING on qualified orders. Download The Fractal Geometry of the Brain PDF.

Reviews the most intriguing applications of fractal analysis in neuroscience with a focus on current and future potential, limits, advantages, and .

An Introduction to Fractals