Re: Fun problem

Thus spake Cl.Massé <postmaster@xxxxxxxxxxxxxxxxxxxxxx>
"Henning Makholm" <henning@xxxxxxxxxxx> a écrit dans le message de news:
873bg16cgk.fsf@xxxxxxxxxxxxxxxxxxxxxxxxxxxxx

It can also get stuck on a non-repeating path, if the ration between
the time one vertical bounce takes and the time it takes to move from
one wall to the other is irrational.

Strangely, if the path is non repeating, the point won't escape, but it will
escape for all repeating path. The explanation is that if the path is
repeating, it must go through its entry point or a symmetrical one at some
time. If not, any time it tries, each time differently, it'll fail because
there are infinitely more irrational numbers than rational ones.

All too true. I just had some problem with idealising "point" particle
to quite such an extreme. However, it does occur to me that if one does
take things to that level of precision, one really ought to allow that
quantum effects should be taken into account and that the particle could
escape via quantum tunnelling if it gets close enough to a critical
escape point.


Regards

--
Charles Francis
substitute charles for NotI to email

.

Relevant Pages

  • Re: Fun problem
    ... the time one vertical bounce takes and the time it takes to move from ... one wall to the other is irrational. ... Strangely, if the path is non repeating, the point won't escape, but it will ...
    (sci.physics.research)
  • Re: Prison escape
    ... worry about them repeating any of their offenses later on. ... > to compact the trash. ... > took the escape route rather than stick it out. ...
    (sci.med.transcription)
  • Re: Fun problem
    ... take things to that level of precision, one really ought to allow that ... quantum effects should be taken into account and that the particle could ... escape via quantum tunnelling if it gets close enough to a critical ... In that case, every point will escape, since all non escaping trajectory ...
    (sci.physics.research)
  • Re: farvas favorite airplane
    ... You must be schizoid. ... You keep repeating the same thing over and over ... Why did you escape from the loony bin? ...
    (rec.sport.pro-wrestling)