Showing posts with label Curvature. Show all posts
Showing posts with label Curvature. Show all posts

Tuesday, 4 February 2014


This video places hyperbolic geometry within a process that forms the ever changing world of our everyday life. This corresponds to Einstein’s Relativity in which the Euclidean geometry of our everyday life is only an approximation to hyperbolic geometry. 

Therefore hyperbolic geometry that in many ways is more beautiful than Euclidean geometry is also more fundamental in the nature of space and time. 

Because hyperbolic geometry has negative curvature with every point in hyperbolic space being a saddle point, we are going to need a dynamic process that naturally forms negative curvature in three dimensional space. This can be formed by a very simple process of spherical symmetry forming and breaking. In the images in the video from the International Space Station we can see a candle flame in almost zero gravity takes on the form of a sphere. Light radiates out in all directions forming a sphere that is interacting with the atmosphere on the two dimensional surface of the sphere. The outer surface of the sphere has positive curvature, but relative to the radiating light of the candle flame the inner surface has the negative curvature that is needed for hyperbolic geometry. This forms a dynamic process in three dimensional space instead of a boundary circle we have a boundary sphere. The infinite nature of hyperbolic geometry can be represented on the negative curvature of the interior surface of the light sphere. 

In this way we have the three dimensions of our everyday life with Euclidian geometry within three dimensional space formed by one dynamic process that is based on hyperbolic geometry. 

The spontaneous absorption and emission of light forms a process of continuous energy exchange or what I like to call continuous creation. This will be relative to the flow of electric charge with the future coming into existence light photon by light photon with each new photon electron coupling or dipole moment.

The negative curvature of Hyperbolic Geometry represents the curvature of spacetime that forms gravity.

Sunday, 17 June 2012

The organization and driving force for life


 The capacity for life must have existed in the Universe from the very beginning of time. But where did the symmetry and geometry for the diversity and complexity of life come from?
  
And where did the driving force for the organisation of life come from?

In a new theory this driving force and organisation is innate within the Universe. It is formed because EMR or light has momentum and will always radiate out from its radius forming a sphere.

We will always have to square the radius to get the surface area. Therefore we can say that energy equals mass times the speed of light squared.

Because the Universe is never at absolute zero everything is radiating light waves of EMR continuously. If our eyes were more sensitive to the light we would be able to see this universal process.

In this theory the continuous flow of electromagnetic waves forms the process that we see and feel as the flow of time itself that forms the geometry and curvature of spacetime.

This process is totally dynamic and interactive; life in the form of energy or mass will form the future of its own evolutionary path by slowing down the rate that time flows forming a curvature of spacetime relative to its own energy.

We have a universal process of spherical symmetry forming and breaking that forms the spiral of life as time unfolds photon by photon or moment by moment.


 This forms a universal process of spherical symmetry forming and breaking, early life forms would have moved towards the light creating a curvature relative to its own energy.

The direction of movement or growth can be seen mathematically as a vector. Each new vector will have an energy level based on the two previous vectors.

 This will form the Fibonacci curves and spirals that can be seen in all life, but is most visible in sea shell and planet life.

Intelligent life will form its own evolutionary path out of this process of symmetry forming and breaking!

Because this is a process over a period of time, and time has the geometry of spacetime. Intelligent life will have line symmetry within its geometry representing the time line of its own chosen evolutionary path.

This process forms an infinity of possibilities for the diversity and complexity of life.

But all life is based on the same process giving all life the same mathematical foundation that Charles Darwin’s theory of evolution is based upon.

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