Article
Navier Stokes Disproved Containers Geometries State of matter not Scalar or Smooth
Illinois Journal of Math, American Journal of math, Math Notices, Travaux Mathematiques, Mathematics magazine (2014)
Abstract

My disproof of Navier Stokes through showing F=ma to be problematic in cases of 0 mass and 0 acceleration as F does not actually equal ma in such cases, container exceptions like oscillating, disappearing or changing direction containers/geometries in which there is not one scalar pressure as direction and pressure are involved and matter state exceptions like solid fluids, gas fluids or plasma fluids show exceptions to the equations. Navier Stokes would not hold in cases of disappearing, oscillating, changing, broken geometries and containers as the solutions would not be smooth. Navier Stokes would not hold in cases of solid fluids as the velocity would not be directional thus not a vector and the pressure would not be scalar or have one value. As velocity would not be a vector and pressure not scalar in cases in which pressure is different in different areas of a fluid, Navier Stokes would not apply or be valid.Earlier Disproof. Navier Stokes Disproved Case 1. Thermonuclear energy source for Sun questioned. Increase the pressure on a fluid and the fluid can move faster, fast movement does not have to cause a decrease in fluid pressure thereby disproving Navier Stokes. Imagine for example the Sun; the Sun moves quickly and there is not evidence of decreased fluid pressure. In fact, some scientists like Ralph E. Juergens and Fred Hoyle question the thermonuclear energy source theory for the Sun based on the idea of instability caused by thermonuclear reactions. Fast interactions say Juergens and Fred A. Hoyle would increase instability. Increased pressure in the Sun is associated with increased particles leaving the Sun. Case 2 Imagine F=ma related to Navier Stokes. Imagine acceleration 0, F Does not equal ma at acceleration 0 as F has some value and is not equal to zero even with acceleration 0. Mass = 20,000 pounds would still exert some force even with acceleration 0 Case 3 Imagine F=ma related to Navier Stokes. Imagine m=0, F does not equal ma at mass 0 as the object at mass 0 can still have some value of acceleration. Virtual particles for example with mass 0 can still accelerate with some force even though there is no mass to the object Case 4 Container determined. Pressure fluid relationships are based on the geometry of the container. A container called infinity will have a different pressure fluid relationship that geometric objects of shape flask, square, rectangle, ellipse, ovoid, sphere or other shapes. Case 5 Fluid and state of matter determined. Pressure fluid relationships are based on the fluid involved. The equations describing a fluid differ for Uranium which releases some radiation to water which has certain pressure fluid relationships to other gases to solid fluids. A solid fluid will not follow Navier stokes in the same way a plasma fluid will not follow the equations. Every fluid or state of matter of something like gas, fluid, plasma, solid will give rise to different equations governing the state of matter.

Keywords
• Math,
• Navier Stokes,
• Disproved,
• containers,
• matter states
Disciplines
Publication Date
2014
Citation Information
James T Struck. "Navier Stokes Disproved Containers Geometries State of matter not Scalar or Smooth" Illinois Journal of Math, American Journal of math, Math Notices, Travaux Mathematiques, Mathematics magazine (2014)
Available at: http://works.bepress.com/james_struck/51/