the path of a planet around a star is an ellipse... in 3d, but what is really happening is that in 4d, it is a spiral because space is constantly expanding
people have made the "planet around the sun is like an electron around the nucleus" analogy
right, but the notion is flawed...
because we are not taking into account our inability to scale time as well as space
back in the days of bohr and planck, the quantization argument was what broke down that analogy
what we see as an electron probability function is what we would see if we charted a planet around a star for millions or billions of years
that's a deep statement, and has been considered, and is not what is currently believed
I will do some research on whether the models have actually tried to use a scale in time as well as size.. and why these notions were discarded.
but it had been one of the working theories
I do realize that the idea is not one that is absolutely new... it is only my gut feeling as to what is really going on
at least the analogy of orbits and orbitals
however, even if not directly associated in mathematical model, an orbital is still a spiral as it follows cycle around a proton (even if semi-stochastic) ...
there might be other force factors at play at different scales
the deep idea you're connecting with is the link between chaos and probability
how cyclical strange attractor type behavior connects with probability distributions
btw: I really appreciate that you are challenging me - I, however, was on my way out to have dinner
thanks friend... really, thank you... talk soon
will talk soon
In the end -- even if the models for the atomic orbitals and the planetary orbitals are not described by exactly the same mathematics - it is not the main point of what I am saying (although I would like to keep looking into that)... the essence of what I am saying is that the wave as we know (a sine wave) is not a complete picture of what is happening. They ARE moving in a sine wave. But they are not only doing it on the y axis, but also on the x axis... which yields a spiral. And if we look at the cross section of the spiral, we see the sine wave... thus it does not invalidate our current findings, but merely amends our view of how it is that the photons (or particles) are travelling.
the analogy between the two scales is only to illustrate that there are spirals happening on both of these levels which in turn leads me to conclude that everything moves like this... which then leads us to an understanding that light, energy, sound are also moving in spiral form