The Definition of Points
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From: Bob Kolker on 17 Mar 2007 17:13 Hero wrote: > > So with Your kind of geometry You can or You can not tell, that DNA is > a right screw? > > With friendly greetings You can tell that right and left are differnt. You can use the hand rules to designate the orientation. In principle one could do the Yang-Lee experiment to tell left from right. If we communicated by radio with beings in a different part of the normal matter universe we could (in principle) give them a procedure for identifying left and right. Bob Kolker
From: VK on 17 Mar 2007 17:29 On Mar 17, 9:23 pm, "Hero" <Hero.van.Jind...(a)gmx.de> wrote: > Left and right are geometrical concepts. Oh, that's ingenious! I was just lurking around, but it's so really awesome as a statement for a linguist - I couldn't resist. So "left and right are geometrical concepts". Good, so you don't mind to play an old game with me? The imaginary concept of left and right was once used in one sci-fi story, so I keep close to it for the simplicity: I'm an E.T. from another planet inside of a perfectly symmetrical cabin. There is only door behind me and in front of me - symmetrical against the door - there are two buttons. Left side button is broken and will explode the cabin. Right side button will send me back to my planet. Alas the words "left" and "right" are not known to me. Your task is by using radio (but no video communication) to instruct me to press the right (in both sense) button. I'm very smart and can draw whatever you will tell me, I just don't know what the hey "left" and "right" is. Care to try to send me to my planet?
From: Bob Kolker on 17 Mar 2007 17:32 VK wrote:> > I'm an E.T. from another planet inside of a perfectly symmetrical > cabin. There is only door behind me and in front of me - symmetrical > against the door - there are two buttons. Left side button is broken > and will explode the cabin. Right side button will send me back to my > planet. Alas the words "left" and "right" are not known to me. Your > task is by using radio (but no video communication) to instruct me to > press the right (in both sense) button. I'm very smart and can draw > whatever you will tell me, I just don't know what the hey "left" and > "right" is. Care to try to send me to my planet?] Send a lengthy radio communication of Yang-Lee's violation of parity hypothesis along with Madame Wu's experiment to verify it. The ET will probably die of old age, but, in principle, this could work. Bob Kolker
From: Hero on 17 Mar 2007 17:39 On 17 Mrz., 22:13, Bob Kolker <nowh...(a)nowhere.com> wrote: > Hero wrote: > > > So with Your kind of geometry You can or You can not tell, that DNA is > > a right screw? > > > You can tell that right and left are differnt. Can You please give me a hint, where in Your geometry or in which of Your geometries this is axiomized or where it follows from axioms? Or where the plane-reflection is possible? Thanks Hero
From: Bob Kolker on 17 Mar 2007 17:49
Hero wrote: > On 17 Mrz., 22:13, Bob Kolker <nowh...(a)nowhere.com> wrote: > >>Hero wrote: >> >> >>>So with Your kind of geometry You can or You can not tell, that DNA is >>>a right screw? >> >> >>You can tell that right and left are differnt. > > > Can You please give me a hint, where in Your geometry or in which of > Your geometries this is axiomized or where it follows from axioms? > Or where the plane-reflection is possible? On cannot transform a right spiral into a left spiral by an isometry with a determinant of 1. By considering isometries with determinant 1 you restrict mapping that either translate or rotate or a combination. Reflection about a line is out. Bob Kolker |