Kwok Man Hui
Nov7-04, 07:44 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\nI am recently re-reading some of old papers about cannonical quantum\ngravity and problem of time. I haven\'t caught up reading some recent years\narticles about attacking the underlieing assumptions embedded in standard\nquantum theory like observer, Hilbert space structure, continuum. I am\nglad that some people has started attacking the assumptions.\n\nI completely share a belief that whatever a true quantum gravity\ntheory will come up, a paradigm shift is a must, though it doesn\'t hold by\nthe majority (string theorists).\n\nI want to show the reasonableness and the possibility of a discrete\nstructure embedded dormantly in a continuum (quantum spacetime continuum)\nso that it regulates the operators built upon this quantum geometry?\n\nA quantum theory of spacetime cannot disregard its quantum dynamics with\nquantum matter. I think we should have wholistic point of view. we cannot\nrestrict ourself to consider quantum geometry in pure gravity because we\nmay omit some very helpful concepts. the following is somewhat an\nextension of my argument of a possibility of building a cannonical quantum\ngravity theory.\n\nI start with regarding fundamental particles as different kinds of\nspacetime singularities with finite curvature prescribed as its energy\n(analogous to points in Regge Calculus). The particle may have its own internal clock.\nDon\'t worry we will handle the problem of time and the interpretation of\nit later or next time.\n\nThen how we come up a maybe Lie Algebra stuff. We try to envision this\nLie-like Algebra coming from a "resolution of quantum singularity" like\nthe way does in classification of singularity in algebraic geometry. In\nalgebraic geometry, they have a local ring or a sheaf plus some blow-up\nprocess to deal with it. If there exists a function analytic tool to carry\nout this resolution process, then it will look like perturbing the Regge\ncalculus. And we have a rough idea to retrieve the information out of the\nquantum dynamics. We need a new variational principle to make a Regge\nCalculus that it can deal with matter coupled with spacetime.\n\nwe hope the mathematical consistency will force out a new quantum theory\nbehind this dynamical quantization picture. We have fully anticipated that\nthe quantum theory may not be like the standard one, but in some form of\nlimit, for example one scenario is, if no quantum spacetime fluctuation,\nthe theory will reduce to a standard quantum theory either in flat\nspacetime or in curved spacetime.\n\nWe may adopt a conditional probability interpretation, conditioning on\nquantum spacetime geometry. To get the full unconditional intepretation,\nwe may need a new "superposition" principle. We may need a concept of\nimpedence of world geometry for measurement. Our strategy is by aligning\nindividual internal clock\'s arrow to a get a weak sense of time, The Arrow\nof Time so that we can have a notion of external time to do something\nsimilar to path integral or to describe the evolution of the quantum\ndynamics. The external time here we hope to solve it by invoking a\nnonlocal principle across all these quantum spacetime 4-geometries. We\ndon\'t know whether or not we may need something like consistent history\ninterpretation at this point.\n\n\nWe may need a new kind of Larentz invariance under this kind of math\nstructure because there is no good definition of an inertial uniform\ntranformation from world to world, 4-geometry to 4-geometry. We must\nsomewhat deconstruct the measurement process so that when we re-construct\nthe process it must be carried out under the nonlocal principle. This\nprinciple must reflect a kind of intuitive totality and reflect the\nvariational principle used to set up the Regge Calculus. Just like a\nLincoln poster each spot on his face is a world. However, piece all the\nspot nicely together, and view them as a whole, they form a Lincoln\nportrait. The measurement must be coming from that way. This force us to\nadopt a kind of strutural measurement process. Then this induces a\nstructural relativity principle. There is completely no sense to interpret\n4-geometry world relativize with another 4-geometry world in our usual\nsubject-to-subject classical picture. In addition, think about one of the\nmotives behind dynamical quantization, which is to capture the the quantum\nspacetime fluctuation of spacetime at Planck scale when quantum matter\ncouples with quantum spacetime geometry. We hope people will ponder to\nagree the necessity of a structural Larentz invariance is needed instead\nof the old one. When people seek for a demonstration of covariance of a\ncannonical quantum gravity theory, they cannot think in the old way. This,\nin return, force us to think the "path integral" we mentioned above may\nnot be exactly like the consistently history approach. Certainly, we need\nto develop more exploration and elaboration on this subject matter.\n\n\nCharles Hui\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>I am recently re-reading some of old papers about cannonical quantum
gravity and problem of time. I haven't caught up reading some recent years
articles about attacking the underlieing assumptions embedded in standard
quantum theory like observer, Hilbert space structure, continuum. I am
glad that some people has started attacking the assumptions.
I completely share a belief that whatever a true quantum gravity
theory will come up, a paradigm shift is a must, though it doesn't hold by
the majority (string theorists).
I want to show the reasonableness and the possibility of a discrete
structure embedded dormantly in a continuum (quantum spacetime continuum)
so that it regulates the operators built upon this quantum geometry?
A quantum theory of spacetime cannot disregard its quantum dynamics with
quantum matter. I think we should have wholistic point of view. we cannot
restrict ourself to consider quantum geometry in pure gravity because we
may omit some very helpful concepts. the following is somewhat an
extension of my argument of a possibility of building a cannonical quantum
gravity theory.
I start with regarding fundamental particles as different kinds of
spacetime singularities with finite curvature prescribed as its energy
(analogous to points in Regge Calculus). The particle may have its own internal clock.
Don't worry we will handle the problem of time and the interpretation of
it later or next time.
Then how we come up a maybe Lie Algebra stuff. We try to envision this
Lie-like Algebra coming from a "resolution of quantum singularity" like
the way does in classification of singularity in algebraic geometry. In
algebraic geometry, they have a local ring or a sheaf plus some blow-up
process to deal with it. If there exists a function analytic tool to carry
out this resolution process, then it will look like perturbing the Regge
calculus. And we have a rough idea to retrieve the information out of the
quantum dynamics. We need a new variational principle to make a Regge
Calculus that it can deal with matter coupled with spacetime.
we hope the mathematical consistency will force out a new quantum theory
behind this dynamical quantization picture. We have fully anticipated that
the quantum theory may not be like the standard one, but in some form of
limit, for example one scenario is, if no quantum spacetime fluctuation,
the theory will reduce to a standard quantum theory either in flat
spacetime or in curved spacetime.
We may adopt a conditional probability interpretation, conditioning on
quantum spacetime geometry. To get the full unconditional intepretation,
we may need a new "superposition" principle. We may need a concept of
impedence of world geometry for measurement. Our strategy is by aligning
individual internal clock's arrow to a get a weak sense of time, The Arrow
of Time so that we can have a notion of external time to do something
similar to path integral or to describe the evolution of the quantum
dynamics. The external time here we hope to solve it by invoking a
nonlocal principle across all these quantum spacetime 4-geometries. We
don't know whether or not we may need something like consistent history
interpretation at this point.
We may need a new kind of Larentz invariance under this kind of math
structure because there is no good definition of an inertial uniform
tranformation from world to world, 4-geometry to 4-geometry. We must
somewhat deconstruct the measurement process so that when we re-construct
the process it must be carried out under the nonlocal principle. This
principle must reflect a kind of intuitive totality and reflect the
variational principle used to set up the Regge Calculus. Just like a
Lincoln poster each spot on his face is a world. However, piece all the
spot nicely together, and view them as a whole, they form a Lincoln
portrait. The measurement must be coming from that way. This force us to
adopt a kind of strutural measurement process. Then this induces a
structural relativity principle. There is completely no sense to interpret
4-geometry world relativize with another 4-geometry world in our usual
subject-to-subject classical picture. In addition, think about one of the
motives behind dynamical quantization, which is to capture the the quantum
spacetime fluctuation of spacetime at Planck scale when quantum matter
couples with quantum spacetime geometry. We hope people will ponder to
agree the necessity of a structural Larentz invariance is needed instead
of the old one. When people seek for a demonstration of covariance of a
cannonical quantum gravity theory, they cannot think in the old way. This,
in return, force us to think the "path integral" we mentioned above may
not be exactly like the consistently history approach. Certainly, we need
to develop more exploration and elaboration on this subject matter.
Charles Hui
gravity and problem of time. I haven't caught up reading some recent years
articles about attacking the underlieing assumptions embedded in standard
quantum theory like observer, Hilbert space structure, continuum. I am
glad that some people has started attacking the assumptions.
I completely share a belief that whatever a true quantum gravity
theory will come up, a paradigm shift is a must, though it doesn't hold by
the majority (string theorists).
I want to show the reasonableness and the possibility of a discrete
structure embedded dormantly in a continuum (quantum spacetime continuum)
so that it regulates the operators built upon this quantum geometry?
A quantum theory of spacetime cannot disregard its quantum dynamics with
quantum matter. I think we should have wholistic point of view. we cannot
restrict ourself to consider quantum geometry in pure gravity because we
may omit some very helpful concepts. the following is somewhat an
extension of my argument of a possibility of building a cannonical quantum
gravity theory.
I start with regarding fundamental particles as different kinds of
spacetime singularities with finite curvature prescribed as its energy
(analogous to points in Regge Calculus). The particle may have its own internal clock.
Don't worry we will handle the problem of time and the interpretation of
it later or next time.
Then how we come up a maybe Lie Algebra stuff. We try to envision this
Lie-like Algebra coming from a "resolution of quantum singularity" like
the way does in classification of singularity in algebraic geometry. In
algebraic geometry, they have a local ring or a sheaf plus some blow-up
process to deal with it. If there exists a function analytic tool to carry
out this resolution process, then it will look like perturbing the Regge
calculus. And we have a rough idea to retrieve the information out of the
quantum dynamics. We need a new variational principle to make a Regge
Calculus that it can deal with matter coupled with spacetime.
we hope the mathematical consistency will force out a new quantum theory
behind this dynamical quantization picture. We have fully anticipated that
the quantum theory may not be like the standard one, but in some form of
limit, for example one scenario is, if no quantum spacetime fluctuation,
the theory will reduce to a standard quantum theory either in flat
spacetime or in curved spacetime.
We may adopt a conditional probability interpretation, conditioning on
quantum spacetime geometry. To get the full unconditional intepretation,
we may need a new "superposition" principle. We may need a concept of
impedence of world geometry for measurement. Our strategy is by aligning
individual internal clock's arrow to a get a weak sense of time, The Arrow
of Time so that we can have a notion of external time to do something
similar to path integral or to describe the evolution of the quantum
dynamics. The external time here we hope to solve it by invoking a
nonlocal principle across all these quantum spacetime 4-geometries. We
don't know whether or not we may need something like consistent history
interpretation at this point.
We may need a new kind of Larentz invariance under this kind of math
structure because there is no good definition of an inertial uniform
tranformation from world to world, 4-geometry to 4-geometry. We must
somewhat deconstruct the measurement process so that when we re-construct
the process it must be carried out under the nonlocal principle. This
principle must reflect a kind of intuitive totality and reflect the
variational principle used to set up the Regge Calculus. Just like a
Lincoln poster each spot on his face is a world. However, piece all the
spot nicely together, and view them as a whole, they form a Lincoln
portrait. The measurement must be coming from that way. This force us to
adopt a kind of strutural measurement process. Then this induces a
structural relativity principle. There is completely no sense to interpret
4-geometry world relativize with another 4-geometry world in our usual
subject-to-subject classical picture. In addition, think about one of the
motives behind dynamical quantization, which is to capture the the quantum
spacetime fluctuation of spacetime at Planck scale when quantum matter
couples with quantum spacetime geometry. We hope people will ponder to
agree the necessity of a structural Larentz invariance is needed instead
of the old one. When people seek for a demonstration of covariance of a
cannonical quantum gravity theory, they cannot think in the old way. This,
in return, force us to think the "path integral" we mentioned above may
not be exactly like the consistently history approach. Certainly, we need
to develop more exploration and elaboration on this subject matter.
Charles Hui