The Factor 10 Problem
differentials related to pressure and gravitational subatomic particle flow within a gaseous mass
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In this paper, the goal is use Mankind's basic formulas of pressure, a force which compresses a gaseous mass and gravitational subatomic particle flow, again when this force applied to a mass compression occurs. The common factor is volume reduction of matter. Transposing gravity for pressure or the reverse, there is a direct one to one relationship to volume. So how do you equate a factor 10 discrepancy between density and gravity of a sphere where its radius is reduced to .1 of its original size?
This comparison will be defined by a specific set of parameters, the initial cubic area of two spheres will be the same and have a reference mass of the same molecular structure, temperature and density. We will then examine the relationship of pressure vs. gravitational subatomic particle flow and its a affect of a directional force while passing through a mass as the radius of the sphere is reduced by a factor of 10.
Theoretical Concepts of Mankind Affected:
In this equation mankind's definition of pressure, where the initial mass and its volume is defined in figure 1, the radius component of the sphere for the comparison is reduced by a factor of 10, the initial pressure P within the sphere is increased by a factor of 1,000 as a resultant of the radii reduction. So the P in this equation no matter what its value is a 1000 times greater, yielding 1000P = nRT/V when the radius component is reduced to .1 of original within the spherical V (volume) equation. We can use this formula with our Sun as the matter is in the form or behaves as a gas. For a simplistic comparison we will let T (temperature) be a average constant for the mass, otherwise the yield would increase in the extremes of stellar cores.
So how does gravitational subatomic particle flow and its affects of compression on a gaseous mass perform under the same set of parameters?
In figure 2 sphere A has the same mass and radii as in figure 1, but we find that gravitational acceleration on the shell of the sphere B when the radii is reduced to .1 of original, gravitational acceleration on the shell of sphere B only increases by a factor of 100. When the factor of T (temperature) is introduced gravity is unaffected, but the outward pressure of the gaseous matter intensifies as a function of molecular motion, thus increasing the differential.
The resultant is for every factor 10 reduction of the radii of a gaseous sphere there is a factor 10 increase of pressure within the sphere to the gravitational acceleration upon the shell, which is responsible for containment.
P :: G with Sphere having radius equal to r
1000P :: 100G with Sphere having radius equal to .1r
10P :: G or a factor 10 deficit
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Formation of Planetary Solar Systems
Hydrostatic Equilibrium of Stars
The Concept of Gravity and the Consideration of the Repulsion Force
Universal Laws of Gravity and Repulsion
Fusion Process of the Sun
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