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Page 1 of 11939 · PDF PAGE 54
…he world that I have to tell you that in the year 1900, four years before the appearance of Einstein's world- shaking paper, I described space as 'finite yet boundless,' which is exactly the description in general terms that he gave in more mathematical detail.[4] You will see at once that these three words do describe a curved geometry; a sphere, for instance, is a finite object, yet you can go over the surface in any direction without ever coming to an end. I said above that Riemann's Geometry was not quite sufficient to explain the phenomena…
1939 · PDF PAGE 49
…orth or south, so far up or down, from a standard point, and it must be after or before a standard moment. There are three dimensions of space and one of time. 6. Now what do we mean by space? Henri Poincaré, one of the greatest mathematicians of the last generation, thought that the idea of space was invented by a lunatic, in a fantastic (and evidently senseless and aimless) endeavour to explain to himself his experience of his muscular movements. Long before that, Kant had told us that space was subjective, a necessary condition of thinking; …
1939 · PDF PAGE 52
its essential structure. I exclaimed: 'Nothingness, with twinkles!' I concentrated upon this vision, with the result that the void space which had been the principal element of it diminished in importance. Space appeared to be ablaze, yet the radiant points were not confused, and I thereupon completed my sentence with the exclamation: 'But what Twinkles!' 20. The next stage of this vision led to an identification of the blazing points with the stars of the firmament, with ideas, souls, etc. I perceived also that each star was connected by a ray…
1939 · PDF PAGE 55
…of matter in it. Were more matter to be created, the volume of the universe would increase. Were matter to be annihilated, the volume of space would decrease. Without matter, space would not exist. Thus the mere existence of space, besides its metrical properties, depends upon the existence of matter. With this conception it becomes possible to regard all motion, including rotation, as purely relative.' Where do we go from here, boys? 28. 'The present tendency of physics is towards describing the universe in terms of mathematical relations betw…
1939 · PDF PAGE 43
… definition. Dhyana resembles Samadhi in many respects. There is a union of the ego and the non-ego, and a loss of the sense of time and space and causality. Duality in any form is abolished. The idea of time involves that of two consecutive things, that of space two non-coincident things, that of causality two connected things.' 13. Samadhi, on the contrary, is in a way very easy to define. Etymology, aided by the persistence of the religious tradition, helps us here. Sam is a prefix in Sanskrit which developed into the prefix 'syn' in Greek …
1939 · PDF PAGE 51
…ences of local convenience in thinking. But all these go back to the still older cosmogony of the ancient Egyptians, where we have Nuit, Space, Hadit, the point of view; these experience congress, and so produce Heru-Ra-Ha, who combines the ideas of Ra-Hoor-Khuit and Hoor- paar-Kraat. These are the same twin Vau and He' final which we know. Here is evidently the origin of the system of the Tree of Life. 18. We have arrived at this system by purely intellectual examination, and it is open to criticism; but the point I wish to bring to your notic…
1939 · PDF PAGE 30
…ught cannot exist without continual change; all that we have to do is to prevent change occurring. All change is conditioned by time and space and other categories; any existing object must be susceptible of description by means of a system of coordinate axes. On the terrasse of the Cafe des Deux Magots it was once necessary to proclaim the entire doctrine of Yoga in the fewest possible words 'with a shout, and with the voice of the archangel, and with the trump of God.' St. Paul's First Epistle to the Thessalonians, the Fourth Chapter and the …
1939 · PDF PAGE 40
…nion results in the manifestation of these qualities in the child. Their potentialities are expressed and developed in terms of time and space, while also, accompanying the act of union, is the ecstasy which is the natural result of the consciousness of their annihilation, the necessary condition of the production of their offspring. 5. It would be easy to develop this thesis by analogies drawn from ordinary human experiences of the growth of passion, the hunger accompanying it, the intense relief and joy afforded by satisfaction. I like rather…
1939 · PDF PAGE 53
…ld hardly make better use of your time. But let us spend a few moments on his remarks about the question of geometry. Our conceptions of space as a subjective entity has been completely upset by the discovery that the equations of Newton based on Euclidean Geometry are inadequate to explain the phenomena of gravitation. It is instinctive to us to think of a straight line; it is somehow axiomatic. But we learn that this does not exist in the objective universe. We have to use another geometry, Riemann's Geometry, which is one of the curved geome…