fredag 10 februari 2023

New Newtonian Gravity vs Electromagnetism

Assignments of different capacities by the Creator 

Newtonian Gravity and Electromagnetism include the same mathematical model in the form $\rho (x)=\Delta\phi (x)$ with $\Delta$ the Laplacian with respect to a space coordinate $x$ with the following interpretations:

  • Gravitation: $\rho (x)$ mass density and $\phi (x)$ gravitational potential.
  • Electromagnetism: $\rho (x)$ charge density and $\phi (x)$ electric potential.
In New Newtonian Gravity we view $\phi$ to be primordial from which $\rho$ is assigned/created by differentiation as an instant local operation. It is natural to take the same view in electromagnetism with charge created from electric potential by differentiation. The corresponding force laws have opposite signs resulting in opposite attractive/repulsive forces between mass/charge (Newton's Law of Gravitation and Coulombs Law): 

  • Gravitational force $F(x)=-\nabla\phi (x)$: attraction/repulsion between mass of same/opposite sign.
  • Coulomb electrical force $F(x)=\nabla\phi (x)$: repulsion/attraction between charges of same/opposite sign.
Gravitational mass densities of different signs repel each other leaving a Universe with only positive mass density. Charge densities of different sign attract each other leaving a Universe with both positive and negative charges as protons and electrons. 

An important feature of an assignment process like $\rho (x)=\Delta\phi (x)$ is lack of self-gravitation in the sense that that there is no net gravitational force acting on a body from the gravitational mass assigned to the body by the gravitational potential as being primordial. A body cannot itself assign a net gravitational force acting on itself.  You cannot lift yourself in the hair. The Creator/Natural Selection gives life which cannot create itself all by itself. 

Another important feature of the New Newtonian Gravity translated to electromagnetism is that the attraction between positive and negative charges bringing protons and electrons into contact must be balanced by some mechanism maintaining separation and preventing annihilation. This is a core element of Real Quantum Mechanics including contact conditions between protons and electrons. 

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