82.1 True Mirror Symmetry 

82.2

In response to Yangs statement about symmetry, I found the following:

"If we reflect in a mirror any set of physical events that can happen in our space, does the picture we get always correspond with another set of events that could happen according to the physical laws of our space?

i.e.: A reflection in a mirror is the same thing as a rotation about a plane...which is the characteristic form of rotation in 4-dimensional space. Rotation about a plane is inconceivable to us. That is no reason why it should not happen.

The question (is), will all our physical laws still hold good if they (the laws?) are reflected in a mirror? To turn over a section of a plane (2-dimensions) within a plane is something which can only be done by taking it temporarily out of the plane into 3-dimensional space, and when it is put back its sides are reversed relative to 3- dimensional space. The analogous operation to this, in 3-dimensional space, is to move it temporarily through 4-dimensional space which will reverse its sides.

If one performs a mirror reflection "and" converts all matter into anti-matter, then physical laws remain unchanged. The "combined" transformation...could thus be defined as the true mirror reflection process... mirror symmetry is restored. The price of restoring this symmetry is thus to admit that anti-matter is what ordinary matter turns into, on being rotated about a plane.

Incidentally, a 'propos this question of how readily it might present itself to the mind that "particles" whose properties (are) all precise numerical representations of one another in all but the interchange of a few positive and negative signs (are) really the same "particle",

(Note: "particles" are really frequencies except protons).

"rotated in higher space...in this connection, it is interesting to bear in mind that a line, passing through our 3-dimensional space from one side of it (in higher space) to the other side of it, would cut it at a point.

This consideration...has some relevance to the wave-particle problem. The consideration of...wave motion possible in higher space, and of the ways in which such waves might intersect a 3- dimensional space, provides a fairly wide selection of possibilities which may be compared with the observed experimental facts".

The Decline and Fall of Science
001.9 G8205d pp. 46-55.

Impossible Correspondence Index

Copyright. Robert Grace. 1999