Since Thursday I have been in a nonstop fugue trying to answer a question. Each possible answer led to another series of questions. At the end of each day I had many browser windows open with dozens of tabs each. I simply put my iMac into sleep mode to try and resolve the issue the next day. The next day I got further along the chain with even more windows/tabs open at the end of that day. This morning I checked the Forum to see the latest posts, read the exchange above, and something popped.
I'm like the Butterball Turkey with the popup indicator that shows when it is fully cooked or "done".
I'm "done", my brain is cooked.
I had a cookie and read through _Einstein's Last Question_. In the paper, they keep referring to "space".
He wrote: What we observe as material bodies and forces are nothing but shapes and variations in the structure of space. Particles are just schaumkommen (appearances).
Substitute the word "aether" for "space" and you have what I'm talking about when I say that everything is Fluid Mechanics. Everything, all particles, etc.., are the aether itself taking on the appearance of the various particles. Everything is aether in its many forms.
w/space wrote:
In 1950, Einstein [4] thought about the mechanism of the transmission of force from one particle to another and concluded that space must possess a property that extends throughout space to connect particles.
w/aether wrote:
In 1950, Einstein [4] thought about the mechanism of the transmission of force from one particle to another and concluded that aether must possess a property that extends throughout aether to connect particles.
w/space wrote:
We will see below that ordinary space fulfills this role as the wave medium of the Universe.
w/aether wrote:
We will see below that ordinary aether fulfills this role as the wave medium of the Universe.
w/space wrote:
These leading scientists above had concluded that the logical structure of matter is quantum waves in space.
w/aether wrote:
These leading scientists above had concluded that the logical structure of matter is quantum waves in aether.
The substitution works, because they never defined
space. Ha!
That means in the conclusion you have:
w/space wrote:
Unity of the Universe. The wave medium - the space around us - is the ONE source of matter and the natural laws. Since the waves of each particle are inter-mingled with the waves of other matter and all contribute to the density of the medium, it follows that every charged particle is part of the universe and the universe is part of each charged particle.
w/aether wrote:
Unity of the Universe. The wave medium - the aether around us - is the ONE source of matter and the natural laws. Since the waves of each particle are inter-mingled with the waves of other matter and all contribute to the density of the medium, it follows that every charged particle is part of the universe and the universe is part of each charged particle.
Here are some Wolfram Demonstration pages to look at. I searched on the phrase "electron orbitals". Just download the free Mathematica Player so you can download and run the demonstrations.
Visualizing Atomic Orbitals
http://demonstrations.wolfram.com/Visua ... cOrbitals/
Atomic orbitals show the electron density for an electron of a given energy. Plotting these electron densities in three dimensions gives the shapes representing the various atomic orbitals. The subset of atomic orbitals visualized are 1s, 2p, 3d and 4f.
Linear Combinations of p Orbitals
http://demonstrations.wolfram.com/Linea ... POrbitals/
The real forms of atomic orbitals are constructed by taking appropriate linear combinations of the complex forms of these orbitals. The one-electron wavefunctions resulting from the solution of the Schrödinger equation for the hydrogen atom are complex functions except when . Boundary surface pictures of atomic orbitals typically only show the real part of these complex functions and often leave out the sign information as well. Here, boundary surfaces of the orbitals are drawn with coloring to indicate the real and imaginary components as well as the positive and negative signs. These color-coded atomic orbitals illustrate the linear combinations of the complex wavefunctions that produce the familiar and orbitals.
Linear Combinations of d Orbitals
http://demonstrations.wolfram.com/Linea ... DOrbitals/
Chemistry students encountering atomic orbitals for the first time often wonder why the orbital looks so different from the others. The answer is related to the fact that boundary surface pictures of atomic orbitals typically show only the real part of these complex functions and often leave out the sign information as well. The one-electron wavefunctions resulting from the solution of the Schrödinger equation for the hydrogen atom are complex functions except when . The real forms of atomic orbitals can be constructed by taking appropriate linear combinations of the complex forms. Here, boundary surfaces of the orbitals are colored to indicate the real and imaginary components as well as the positive and negative signs. These color-coded atomic orbitals illustrate the linear combinations of the complex wavefunctions that result in the familiar four-lobe pictures.
Linear Combinations of f Orbitals
http://demonstrations.wolfram.com/Linea ... FOrbitals/
It is less common to find the atomic orbitals illustrated in chemistry textbooks than the , , and orbitals. Boundary surface pictures of any of these atomic orbitals typically only show the real part of these complex functions and often leave out the sign information as well. The one-electron wavefunctions resulting from the solution of the Schrödinger equation for the hydrogen atom are complex functions except when . The real forms of atomic orbitals can be constructed by taking appropriate linear combinations of the complex forms. Here, boundary surfaces of the orbitals are colored to indicate the real and imaginary components as well as the positive and negative signs.
Hydrogen Orbitals
http://demonstrations.wolfram.com/HydrogenOrbitals/
Equiprobability surfaces for hydrogen orbitals correspond to the wavefunctions . Here is the principal quantum number, is the total angular momentum quantum number, and is the magnetic quantum number. Hydrogen orbitals are covered in a first-year quantum mechanics course. The pictures presented are typically ambiguous in what they display. The proper way is to show equiprobability surfaces.
Polar Plots of Legendre Polynomials
http://demonstrations.wolfram.com/Polar ... lynomials/
Legendre polynomials are solutions to the Legendre differential equation, which is a form of Laplace's equation in spherical coordinates. These forms commonly occur in antenna patterns and electron orbitals, among others.
I think what you are saying is that the sun has shells the way an atom has electron shells. That in effect the concept of electron shells "scale up" to planetary, star, galactic size. Am I right, or do I need to have another cookie.