Exploration: The Third Book In The Celeste Trilogy Chapters 1

 Chapter 1

We have that the distribution of matter through the solar system is not a smooth continuous one but is of great gaps of empty space and then an all-of-the-sudden appearance of a relatively small sphere of mass called a planet. Where have we seen this? In the atom. It is a small spherical mass with a positive charge called a proton, or a collection of these (the number of them determining the element) orbited by smaller, less massive spheres of equal, but opposite charge called electrons. We can apply the laws of their discreet quantified orbits to the planets around the sun, and we get the distribution of the planets is exponential in nature being of the form two to the n, where n is the planets number:

r=2^n

The interesting thing about this is that in the digital logic binary circuitry of computer, or artificial intelligence (AI) in general, where logic gates are made by switches that are either on or off (0 or 1), that they count according to the same rule:

0=0

1=0

2=10

3=11

4=100

5=101

6=110

7=111

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Which is described by

N=2^n

That is,

2=2^1

4=2^2

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2=10

4=100

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But, the orbit of planets while of the nature 2 to the n, can vary according to an equation in 2^n by a generalization where we add some constant K to it and multiplying it by some constant C, arriving at:

r(n)=K+C2^n

But, before the planets formed around these stars, matter was distributed continuously around them in a flat disc of particles, known as a protoplanetary disc.  Further, before that, the matter was distributed around the star as a spherical cloud. The flat disc forms by its collapse.  The problem is that we can observe the planets and their distribution around the star they orbit, but all data pertaining to the protoplanetary disc has been lost to the civilization that resides there, because it coalesced into the planets billions of years before the planets formed.

Since the distribution of planets around a star depend on the mass of the star M, and the luminosity L of the stars are related by:

L=M^(3.5)

For main sequence stars where M is in stellar masses and L is in stellar luminosities for a star in the middle of the Mass Luminosity Relationship and on the main sequence, and since the habitable zone of a star of temperature T is where water exists in its liquid phase abundantly, and we know the habitable planet is in one such orbit, then the habitable zone for any star in general is given by the inverse square law. That is if the star is 100 times brighter than the star, then since 10 squared equals 100, its habitable zone is at 10. With all of this information, one should be able to determine the range, or ranges, over which life supporting stars occur.