17/06/2022
New Book - Higher dimensions by sir LAKAJE MABUTI JOHN.(2022-2030) Language : Sesotho/South African.
"Differential Bubble Theorem"
(Hypothetical model : Water-Universe( all space occupied with fluid/water & two equal sized bubbles of air.).
First law states > The two equal sized bubbles of air with tremendous distance apart each other , that contains less mass than the fluid particles . They are repelled away from each other with high speed from the centre to the outer perimeter of a container.
[∇•B'=x(B₁B₂v²/r²)].
(⚪₁⚪₂)
Each bubble of air has its own velocity.
Second law states > The bubbles of air will repell each other & at the same time will appear to be attracting each other. The repulsion rate is greater than the attraction rate, This implies that the net direction of the movement is away from each other.(Repulsion - Gravity ).
[∇•B'=x(B₁B₂v²/r²)-F=GM₁M₂/r²].
()
Third law states > The inertia of a denser body will increase the forces at work & the net direction of movements remain constant .
Constant ∇•x' = 83.6×10^(11)
Si unit : (N m²v²/B²).
The value of the constant depends on which material that the air bubbles are placed e g vacuum ; container etc.
Final Expression : F=(
1/6π∇•x')×(B₁B₂v₂/r²).
Integral bubble theorem : The fundamental principle of applied hydraulics . The force of attraction or repulsion between two equally sized air bubbles is directly proportional to the product of the particles of the fluid velocity & inversely proportional to the tremendous distance between them.
[∇•B' = (M₁M₂v²/r²/].
Where :
* ∇•x'=Constant
* ∇•B'=Bubble operations (inverse squared).
* r² = distance & v² = speed.
* B₁B₂= mass of particles.
com.
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