# Mathematical and Physical Foundations of Astrology

This is, as its category suggests, an exotic topic, discussion of which can cost a person all of his or her credibility.  Nevertheless I must proceed.  Let us suppose that we have a large, heavy, nominally immovable object like the Earth, in its fixed orbit around the sun.  Now attach to this heavy thing, which we might as well just go ahead and call a planet, a large mass on a very large (long, strong, stiff) spring.   This large mass will remain immobile on its spring unless affected by outside forces.  Well, we do know of some possible outside forces.   One would be the gravitational pull of another planet.   This gravitational pull will be extremely small, of course, if we talking about anything like our actual Solar System, but it will be there.   Most importantly, this put will be extremely regular.  The revolutions of the Earth and Mars around the Sun are extraordinarily regular and  repredictable.   Let us suppose now, that the resonant frequency of the dynamical system formed by the large mass and strong spring is exactly in tune with the orbital revolution of the planet Mars.   Though the gravitational pull of Mars is slight, the extreme regularity of that pull will gradually, year after year give the mass-and-spring system a very large amount of energy.   The mass might move only microscopically when first set in position, but after thousands or millions of years,  it could be moving enough to be dangerous, perhaps even causing earthquakes.

I think that this hypothetical example proves that something like astrology is possible.  It is possible for the distant planets to have an enormous affect on something on the Earth.    The question that remains is simply, is there anything in or on the Earth which could resonate to the motions of Mars or the other planets?   Well, yes.  Seismologists don’t simply measure or predict earthquakes, they do a spectral analysis of the Earth.   Like any real and rather complicated system, the Earth has a very complicated spectrum, with many large and small peaks.   It is certain that at least some of these peaks are low frequency peaks which may match the “planetary rhythms”.

There is now a further question.   Some actions, by happening, change their situations to reduce their effects.  Thus, for example, a change affecting an eco-system causes counterbalancing changes which serve to restore the original state of equilibrium, if possible.   This is called dynamic equilibrium, and is part of the definition of eco-system, and the reason why the term “fragile ecosystem” is an oxymoron.     On the other hand, some actions do just the opposite, they make the conditions for their occurance more likely.     In the human brain and nervous system there is a continual “firing” of neurons,  as each neuron in some way we don’t completely understand integrates the signals it obtains from the various synaptic connections it has, until one of those signals causes it to fire, triggering an event that was becoming more and more inevitable anyway as the neuron got more and more ready to fire  — something sexual about that.   As the co-occuring or synchronous firing of two connected neurons grows, so one will become more sensitive to the other.  Instead of the other’s influence dissipating, it becomes more important.   This is not entirely unlike human society.   The more you agree with a friend, the more likely you are to be influenced by that friend.

So, which is it?   Do the other interacting systems 0f the Earth serve to damp out or diffuse the effect of a resonance — does resonating at a spectral peak tend to wear down that peak, or, on the contrary, do the interacting systems of the Earth act more like the human nervous system, reinforcing one another — does resonance at one peak tend to draw strength from neighbouring ones?

My guess is this:  over time the components of an eco-system become so well adapted to one another they they have  freedom to live well in their mutually created environment, which is something like a linear system, or nearly linear, while on the otherhand earthquakes are examples of very non-linear, triggered, stick-slip actions.    While have often argued that the human brain is remarkably linear in many ways, I have for as long as I can remember known about  the very non-linear, triggered, behaviour of neurons.   The Earth, its seismic action and almost everything on, in, or near the crust of the Earth seems like the same kind of non-linear, triggered behavior.     The Earth’s cooling crust is far from static, it oscillates, but it is not the asynchronous oscillation of two linear oscillators happening independently in the same linear environment, it is a collection of synchronouos oscillations of non-linear oscillators in a non-linear environment.

If that is true, then I should expect the reactions to resonances of the gravitational fields of neighbouring planets to increase or enhance such reactions, having some dampening effect, yes, but not weakening their overall effect on the planet.    In short, the regular, steady, predictable orbital behaviour of the planets over billions of years will have made the planet more susceptible to these motions, not less so.   Their effect would therefore be much much greater than their gravitationational pull alone would indicate.   Random movement of some large object a long way away would have little effect because gravity is such a weak force, but longterm repeated, regular movements would and (I think) does have a great effect.

All of this says nothing whatsoever about the traditions of astrological observations and interpretations which seem to have been handed down from Babylonian times,  at least, and which so many people take an interest in today.    All of that may still be utter nonsense, I don’t know.   But I am sure that the planets can and do affect the Earth far more than found in the unsophisticated remarks of s0me people who pride themselves on a “scientific” attitude.   True science is hard.   It is simplistic and naive and perhaps irresponsible for people to speak of astrology as supernatural nonsense.    What true believers say about astrology as it is today may be wrong, but it does make sense to take the influence of the planets on Earthly events seriously.

dpw

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