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Once we have rid ourselves of the false conception that Kepler's law implies Newton's interpretation of the physical universe as a dynamic entity ruled by gravity, and gravity alone, we are free to ask what this law can tell us about the nature of the universe if in examining it we try to remain true to Kepler's own approach.
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When studying man's nature with the idea of understanding the genesis of his onlooker-consciousness, it will be remembered, we had to examine the ordering of his consciousness into waking, dreaming and sleeping in the different members of his organism. We recognized three different organic systems, the sensory-nerve system, the rhythmic system and the metabolic-limb system, as the bodily foundation of three different soul activities. These are the thought-forming activity which belongs to waking consciousness; the feeling activity which belongs to dream consciousness; and the willing activity which belongs to sleep consciousness. We then saw in these three systems representatives of the three alchemical functions - 'sulphurous' in the metabolic, 'saline' in the nervous, 'mercurial' in the mediating rhythmic system.
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Starting with the answer to the first question, we shall quote the following passage from a lecture on theoretical physics given by Professor Planck in 1909 at the Columbia University, New York:
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In what follows we shall point to a group of phenomena which show the astral interconnexion between earth and universe; we owe our knowledge of them to Rudolf Steiner. It is due to him, also, that experimental research into the relevant facts became possible. They concern the reflexion of the various planetary movements, observable in the sky, in the behaviour of certain mineral substances of the earth.
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Tone-colour plays a specially significant part in human and animal voices. Not only has each individual voice its unique colour, but the colour varies in one and the same person or animal, according to the prevailing mood. Moreover, by uttering the various vowels of his language, man is able to impart varying colour to the sounds of his speech. For the difference we experience when a tone is sung on the vowel 'a' or the vowel 'e', etc., derives from the particular colour given by the vowel to that tone.
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This impediment comes from the contribution made by the nervous system to the auditory process. In order to understand the nature of this contribution we must remember the role played by the blood in seeing. It was found by us to consist in the bringing about of that state of equilibrium without which we should experience light merely as a pain-producing agent. Similarly, the perception of sound requires the presence of a certain state of equilibrium between the nerve-system and the limb-system. In this case, however, a lack of equilibrium would result not in pain, but in ecstasy. For if acoustic impressions played directly into our limb-system, with nothing to hold them in check, every tone we encounter would compel us to an outward manifestation of astral activity. We should become part of the tone-process itself, forced to transform it by the volitional part of our astral organization into spatial movement. That this does not happen is because the participation of the nervous system serves to damp down the potential ecstasy. Hence it is more or less left to the sentient part of the astral organization - that is, the part free from the physical body - to partake in the astral processes underlying the tone occurrences.
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In forming his picture of the universe, it is true, Copernicus was concerned with nothing but the spatial movements of the luminous entities discernible in the sky, without any regard to their actual nature and dynamic interrelationships. Hence his world-picture - as befits the spectator-form of human consciousness which was coming to birth in his own time - is a purely kinematic one. As such it has validity for a certain sphere of human observation.
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To behave in a Keplerian (and thus in a Goethean) fashion regarding a mathematical formula which expresses an observed fact of nature, does not mean that to submit such a formula to algebraic transformation is altogether impermissible. All we have to make sure of is that the transformation is required by the observed facts themselves: for instance, by the need for an even clearer manifestation of their ideal content. Such is indeed the case with the equation which embodies Kepler's third law. We said that in its original form this equation contains a concrete statement because it expresses comparisons between spatial extensions, on the one hand, and between temporal extensions, on the other. Now, in the form in which the spatial magnitudes occur, they express something which is directly conceivable. The third power of a spatial distance (r3) represents the measure of a volume in three-dimensional space. The same cannot be said of the temporal magnitudes on the other side of the equation (t2). For our conception of time forbids us to connect any concrete idea with 'squared time'. We are therefore called upon to find out what form we can give this side of the equation so as to express the time-factor in a manner which is in accord with our conception of time, that is, in linear form.13 This form readily suggests itself if we consider that we have here to do with a ratio of squares. For such a ratio may be resolved into a ratio of two simple ratios.
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Regarded thus, man's nature reveals itself as being endowed with a physical organization, and an etheric organization, which are brought into different relationships by being acted upon by a third organization consisting of forces of the kind here to be studied. At his lower pole these forces co-ordinate the ether and physical organizations in a manner corresponding to the function of the 'sulphur'-pole of the alchemical triad. Here, therefore, the warmth-ether takes the lead and acts in such a way that the higher kinds of ether are able to come to expression in material processes of the body. At the upper pole corresponding forces co-ordinate the physical and ether organizations in a way characteristic of the 'salt'-pole. This gives the lead to the life-ether, so that the physical organism provides the foundation for the activity of the ether-forces without, however, being actually penetrated by them (at least after completion of the embryonic and first post-embryonic development). As a result, consciousness lights up in this part of the body. The rhythmic sphere, being the 'mercurial' middle, is distinguished by an alternation of the two conditions described. With each diastole it becomes more akin to the pole below, and with each systole more akin to the pole above. Here, therefore, the lighting up of consciousness is only partial.
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'Only the hypothesis of the general value of the principle of Relativity in mechanics could admit the Copernican system into physics, since this principle guarantees the independence of all processes on the earth from the progressive motion of the earth. For, if we had to make allowance for this motion, then I should, for instance, have to reckon with the fact that the piece of chalk in my hand possesses the enormous kinetic energy corresponding to a velocity of about 30 km/sec.'