Jagmeet Singh
Oct3-04, 03:49 AM
<jabberwocky><div class="vbmenu_control"><a href="jabberwocky:;" onClick="newWindow=window.open('','usenetCode','toolbar=no, location=no,scrollbars=yes,resizable=yes,status=no ,width=650,height=400'); newWindow.document.write('<HTML><HEAD><TITLE>Usenet ASCII</TITLE></HEAD><BODY topmargin=0 leftmargin=0 BGCOLOR=#F1F1F1><table border=0 width=625><td bgcolor=midnightblue><font color=#F1F1F1>This Usenet message\'s original ASCII form: </font></td></tr><tr><td width=449><br><br><font face=courier><UL><PRE>\n\nArnold Neumaier wrote:\n\nThis was explored by Bloch, Phys. Z. U.S.S.R., 5\n(1943) 301,but is not completely consistent, since the\nprobability density must integrate to 1 over the\n3-space defined by t=const and _not_ over the 4-space,\nsince the interpretation must reduce to the standard\none in the nonrelativistic limit.Thus one would need\nat least a notion of probability density for being at\na point on a spacelike hyperplane, for any fixed\nhyperplane. Or even on any spacelike hypersurface.\n\nArnold Neumaier\n\n--------------------------------------\n\nAs far as the K.G. equation is concerned,we need not\nworry about probability density not integrating to\none.In the non-relativistic limit,Schroedinger\nequation is in any case satisfied---even with the\nproposed(see post #1) interpretation of the\nwavefunction.So the probability density does integrate\nto one.\n\nI also found a paper \'Stern Gerlach experiment in\ntime\' by John Ashmead on google which discusses ideas\n\'similar\' to the ones proposed in this thread and in\nfact suggests an experiment to test out the same.I am\nyet to read the paper in detail,but a preliminary look\nshows the ideas are similar.\n\nJagmeet Singh\n\n\n\n__________________________________\nD o you Yahoo!?\nNew and Improved Yahoo! Mail - Send 10MB messages!\nhttp://promotions.yahoo.com/new_mail\n</UL></PRE></font></td></tr></table></BODY><HTML>');"> <IMG SRC=/images/buttons/ip.gif BORDER=0 ALIGN=CENTER ALT="View this Usenet post in original ASCII form"> View this Usenet post in original ASCII form </a></div><P></jabberwocky>Arnold Neumaier wrote:
This was explored by Bloch, Phys. Z. U.S.S.R., 5
(1943) 301,but is not completely consistent, since the
probability density must integrate to 1 over the
3-space defined by t=const and _not_ over the 4-space,
since the interpretation must reduce to the standard
one in the nonrelativistic limit.Thus one would need
at least a notion of probability density for being at
a point on a spacelike hyperplane, for any fixed
hyperplane. Or even on any spacelike hypersurface.
Arnold Neumaier
--------------------------------------
As far as the K.G. equation is concerned,we need not
worry about probability density not integrating to
one.In the non-relativistic limit,Schroedinger
equation is in any case satisfied---even with the
proposed(see post #1) interpretation of the
wavefunction.So the probability density does integrate
to one.
I also found a paper 'Stern Gerlach experiment in
time' by John Ashmead on google which discusses ideas
'similar' to the ones proposed in this thread and in
fact suggests an experiment to test out the same.I am
yet to read the paper in detail,but a preliminary look
shows the ideas are similar.
Jagmeet Singh
__{________________________________}
Do you Yahoo!?
New and Improved Yahoo! Mail - Send 10MB messages!
http://promotions.yahoo.com/new_mail
This was explored by Bloch, Phys. Z. U.S.S.R., 5
(1943) 301,but is not completely consistent, since the
probability density must integrate to 1 over the
3-space defined by t=const and _not_ over the 4-space,
since the interpretation must reduce to the standard
one in the nonrelativistic limit.Thus one would need
at least a notion of probability density for being at
a point on a spacelike hyperplane, for any fixed
hyperplane. Or even on any spacelike hypersurface.
Arnold Neumaier
--------------------------------------
As far as the K.G. equation is concerned,we need not
worry about probability density not integrating to
one.In the non-relativistic limit,Schroedinger
equation is in any case satisfied---even with the
proposed(see post #1) interpretation of the
wavefunction.So the probability density does integrate
to one.
I also found a paper 'Stern Gerlach experiment in
time' by John Ashmead on google which discusses ideas
'similar' to the ones proposed in this thread and in
fact suggests an experiment to test out the same.I am
yet to read the paper in detail,but a preliminary look
shows the ideas are similar.
Jagmeet Singh
__{________________________________}
Do you Yahoo!?
New and Improved Yahoo! Mail - Send 10MB messages!
http://promotions.yahoo.com/new_mail