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Originally Posted by Robert Tulip
To answer this question it is necessary to conceptualise a wholistic framework for the solar system, looking at the system as an organic unity through time.
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What is "organic" about this collection of moving objects?
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The question then is what are the major regular periodic structures characterizing this system? The behaviour of the centre of mass is an excellent candidate for a measure that will exhibit an integrated unity of the system. Looking at the COM, the 179 year periodicity leaps out as the defining pulse.
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What do you mean by "integrated unity of the system"? Why is this particular quasiperiodic component fundamentally important?
It appears to me that you used "core structure of time" when you meant the structure of a pattern of motion as a function of time, in which time is an independent one-dimensional variable with nothing that I would call "structure". A contrived phrase such as that may look impressive to someone without much of a background in mathematics and science, but it really does not say much of anything.
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Carl Smith’s diagram is very similar to an electro cardiogram for the sun, showing pulses at 19.8 and, more precisely, 179 years. In describing this as a core structure of time, I am pushing against the mainstream in two ways, by suggesting our planetary perspective is privileged (ie that the temporal structure of our solar system is core) and by arguing for a wholistic vision of the solar system as a fundamental ontology.
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What does "privileged" mean? What does "temporal structure is core" mean? What does "fundamental ontology" mean?
I see nothing significant about the slight resemblance of Carl's graph to an electrocardiogram. The mention of the latter is just one more piece of clutter, in my opinion.
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This raises the questions of how transient is the correlation, and how significant is the uncertainty. My prediction, which requires further research to corroborate or falsify, hopefully with readily available data, is that the 1/144 ratio is a long term average, at least for hundreds of thousands and possibly for millions of years. The errors I noted suggest this ratio has had short term variation of up to 0.6% over the last 500 years, but the trend in the 6000 year data has error of much less magnitude. In cosmic terms a thousand years may be the blink of an eye, but it is a long time in human terms, so the 1/12 relation between the SSB and the age has existed quite precisely for all human history. Libration may well be a good model to understand the relation between these two long standing stable rhythmic structures.
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You can say "quite precisely" until the cows come home, and it will not change my opinion, which is that we have only an approximation.
Anyone can cherry-pick a period of time during which the cycles appears to be almost exactly synchronized, but we still have no means of observing it over even a whole processional cycle, not to mention many of them. We do know that over the very long term the precession rate will change as the Moon is forced outward by tidal interaction, while the motions of the planets will be unaffected by that action. Thus my opinion that any 1/144 ratio is transient in the long run.
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Re your comparison with the sun-moon apparent size, any significance for this COM-precession link depends on the speculative claim that the age is a real historical cycle. This is a claim I have previously argued at some length, and which I would say has the scientific status of ‘possible’ rather than ‘persuasive’. Here is a further argument for it. We know that >80% of human DNA is so-called junk. Could it be, given that much of this junk DNA is billions of years old, that apparently useless genes are currently dormant and will become active according to cosmic cycles? Looking at the 25700 year precessional period as entrained to the solar pulse of the COM, could it be possible that genes are adapted to flourish just in one part of this cycle and remain dormant for the rest?
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That is a digression to the topic of a prior ATM thread that has timed out. Let's stay on the topic of the planetary motions at hand.
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This is a really interesting comment. It gets back to the observation that small harmonic effects can build up strongly when repeated continually over long periods. My claim is that the main significant resonance of these harmonic systems is in the deep ecological cycles of the earth.I agree that much Pythagorean lore is obsolete, but themes such as the Fibonacci number and the number phi indicate areas in which number theory and harmonic cycles are more important, with numbers imbedded in chaotic systems. Regarding harmonic cycles, I see the SSB-precession relation as a possible example of entrainment, but the significant resonance as located in the chaotic systems which have evolved within both of them – the ecological cycles of the earth.
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Again, please quit digressing to ecology on Planet Earth. The topic at hand is analysis of the motions of the planets, and possible relations among them.
Your mention of Fibonacci numbers and phi may look impressive to a casual reader, but you did not show any application to the topic at hand. Once more, a distracting digression.