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Subject: Re: [lojban] Direction of Rotation
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Just to be more precise, I don't really catch what you term a "reference frame".

If a reference frame means the move of the Sun somewhere, etc., it
still needs a cultural element, connecting it with some ways of
measurement agreeing with what we know of our usual euclidean space.

(That is : nature of right or left hand, and so on)

If I refer to my right hand, this is culturally connected to my
biological nature.   If I refer to my usual clock, this has to do with
the convention in the state where I live (in old times, there existed
two types of clocks, and the "clockwise" of one region was the
"counterclockwise" of another).

Thus, I suggest (but that's maybe what you intended to suggest) that
the two words be :

W1 = x1 is clockwise in frame x2 relatively to cultural usage x3
W2 = x2 is counterclockwise in frame x2 relatively to cultural usage x3

.

The other annoying thing is that the physic symmetry clockwise versus
counterclockwise (that is some symmetry of (+1 or -1) determinant for
a polar vector) is a Z/2Z symmetry, that is, it has only two different
possible values.

So we can get rid of it by creating two new words (I can't see whether
you want them to be two unrelated words, to avoid cultural bias --- or
not).

Assume someday a physicist finds a 23-fold symmetry in nature, we'll
have to add to lojban lexicon 23 new words (and perhaps, 23 unrelated
ones).

This is not what I call a sane solution

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