Dewey B. Larson
755 N.E. Royal Court
Portland, Oregon 97232
May 2, 1989
Here are my comments on the Mar. 24 letter from Halvorson, which I have just received from you.
(1) He is correct in his surmise as to the location of his difficulty here. Space does not exist in quantities less then one unit. It follows that motion inside unit space is in time, or the spatial equivalent of time. Direction in this time or equivalent space is completely independent of direction in space. There is nothing to prevent one from being inward while the other is outward.
(2) So far as I know, this point has never been given s thorough study. It is just one of the chores that we have not get gotten around to. For present purposes I have merely assumed that the perpendicular direction of the second vibrational unit in a two-unit particle limits the effective motion in any given direction to one unit. Since the relation between the two units is structural, it is maintained regardless of the environment. In such cases as this where only a few consequences of a deduced relation are known it is often difficult to arrive at e positive verification of that relation. We have to wait for something to turn up, as the development of theory continues.
(3) Conventional physics has never been able to tie the gravitational equation into physical theory. So it is probably not surprising that we are also having our problems. I do believe that we are getting close to the answer now. So far as I can judge, on the basis of currently available evidence, the theoretical explanation given in Basic Properties of Matter is correct. Since publication of that book, however, I have realized that the numerical coefficient of the theoretical equation would need another term. I had assumed that it would be a constant, and that the equation would have the form kma = F. But it is now evident that the equation will have to be kxma = F, where x is a function of the mass, needed to compensate for the error introduced into gravitational theory by treating gravitation as proportional to the second power of the mass.
As I told you in a recent letter, I have had to reduce my activities considerably, at least for the present, and I will not be able to follow this up anytime soon, but it is a good job for anyone who wants to try his hand at this sort of thing.
It is apparent that Halvorson and his associates are pursuing their studies of our system of theory in the kind of a systematic way that will give them a good understanding, if they persist long enough. I suggest, therefore,that you make a special effort to see that they get all of the assistance that the ISUS has to offer, I will do what I can to help. I will not i have examined a great many subjects, and I can no doubt throw some light on some of the questions that arise..