This is a review paper that explains why mean-squared variance works similarly to Shannon entropy as applied in comment #5
The Energy of Data
"The energy of data is the value of a real function of distances between data
in metric spaces. The …
Further, there is a recent sequence of articles in an AGU journal on Water Resources Research under the heading:
"Debates: Does Information Theory Provide a New Paradigm for Earth Science?"
Introduction
Hypothesis Testing
Causality, Interaction, a…
From https://johncarlosbaez.wordpress.com/2021/08/05/information-geometry-part-18/ a discussion of entropy analogies using probability
"Similarly, a probability distribution ‘wants’ to flatten out, to maximize entropy, and p_i says how eager it…
p.s. That forcing spectrum appears complex (i.e. high entropy) but is actually quite simple as it's just the result of an orbit-based calculation of tractive gravitational forcing where the lunar range R and declination D changes according to ~sin(D…
"What can be done to use technology to create negative entropy?"
Create a waveguide. The waveguide allows only certain wavelengths to constructively interfere. A Mach-Zehnder-like modulation will disguise the amplitude so it will appear chaotic…
"I don't agree that low entropy and negative entropy are the same"
Since entropy is defined by taking the logarithm of a measure, it's actually impossible for the entropy to switch sign. So the concept of negative entropy is essentially the sa…
Daniel, Any behavior or pattern that looks complex but that you can describe with a short algorithm is an example of negative entropy (or low entropy). So if a model of ENSO can be described with a short algorithm then conceivably the mechanism und…
Some climate scientists may be figuring out that adding a "control signal" to a non-linear and potentially chaotic signal may make it deterministic
"Control Simulation Experiment with the Lorenz’s Butterfly Attractor" in Nonlinear Processes in Geop…
If determinism follows an ordered pattern then that will show up as a higher value of negative entropy. That's all there is to it, which is shown in the last pic I posted.
Here's the way to think about using negative entropy to find an optimal solution. Consider autonomous vs non-autonomous differential equations. One way to think about the distinction is that the transfer function for non-autonomous only depends on t…
Negative entropy is just entropy with a reversed sign and so is a measure of order, or of lower complexity. I have some good recent examples but this paper I wrote using Shannon entropy lays out some practical applications https://www.intechopen.co…
Dave, you're so full of it. ..... in terms of artificial intelligence software development, I could write rings around you so stop blowing smoke with this heuristic logic junk. Just stop, please?
This thread started in 2014 and is up to 13 pages …
Not one useful comment from you --
" orbital state is picked up directly by the sensor arrays"
????
You are under the mistaken impression that anyone else is actually reading this forum thread. If they were, there would be somebody else that…
"If the Earth were blanketed with an opaque atmosphere, sea-buoy and sonde arrays would nevertheless faithfully encode an "data animation" of the positions of Sun, Moon, and Earth rotation phase.."
You sound awfully naive about data analysis, a…
There is no cross-talk. There is only a common-mode forcing.
ENSO and AMO have essentially no time-series cross-correlation.
$$ ENSO = g (f(t)) $$
$$ AMO = h (f(t)) $$
f(t) is the tidal forcing and it is virtually the same for the Pacific and…
As I explained, a heuristic has a different meaning in physics than it does in CompSci and engineering. Feynman was clearly explaining the role of heuristics in the topic of game theory, not for physics.
Please hold off on playing stump the chump …
Instead of a heuristic, what you seem to be groping for is what is referred to as an ansatz in physics. The significant difference between the two is that the ansatz is the missing step in a formulation, while a heuristic is something that just appe…
You evidently don't seem to understand what a heuristic is. In physics, a heuristic is a crutch used to describe a behavior until the true understanding is worked out (a means to an end). In CompSci and engineering, a heuristic will be continue to…
Build on the physics that's there instead of trying to create something out of thin air. This paper by John :
The Joy of Condensed Matter
"It’s called “condensed matter physics,” and it’s the study of solids and liquids. We are living in…
All you have to do is show a QBO time-series with a spatial wavelength in longitude.
It wraps around the equator with little modulation.
If can't agree on the basics, then there is no hope for anything more complex.
"QBO wave-number is properly two non-zero angular wavenumbers (for easterly and westerly motions, respectively)"
Wrong. A zero wavenumber means that the waveform does not have a spatial wavelength (or is effectively infinite). Look at the QBO …
QBO has a unique standing-wave mode as it has a wavenumber index of 0, so no boundary conditions arise as the behavior wraps around the earth shaped like a toroid, Symmetry considerations require that only the draconic tide will contribute to the …
"I like your identification of geophysically situated oscillations as Standing Waves, "
Of course they are standing waves, as I didn't originate that association. The El Nino Southern Oscillation is widely known as a standing wave.
The 1990-1…
"This claim presumes spacetime is not the more correct notion of space, that standing waves do not oscillate in spacetime, and even presumes Earth is "fixed". Nothing is fixed, in absolute relativistic terms."
You continue to drive off in a dir…
ENSO is not best modeled as an "Ensemble". It's a standing-wave mode with a fixed spatial configuration, which means it's a single collective fluid behavior, not a statistical ensemble of outcomes. At least that's the premise I use. If you want to…
You seem to miss the point that this research is essentially a combination of exploratory metrology approaches and of applied geophysics. Consider that if the data was raw diffraction output (x-ray, electron, etc) and we were simply trying to rever…
"The real test is whether your model predicts ENSO-QBO more accurately than the Ensemble Forecasts. You shy from that test."
Why don't you do it? No one is stopping you.
One thing I know is that the key to modeling is to reduce the number of …