Kwok Man Hui
Nov27-04, 06:38 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>Re: Wave-Particle Duality in Dynamical Equilibrium\n\nThis post is not about the Copanhagen School interpretation of quantum\nmechanics. Instead, it is about what the wave picture should be in a\nquantum gravity theory. I hope after I depict my philosophical picture\nabout the wave-particle duality, people will feel a bit acceptable or\ndigestible for the possibility of nonlinearizing other forces or\nnonlinearized matter wave, and their love sentiment of classical General\nRelativity (GR) will be compensated because the requirement of fixing\nclassical GR will be compensated by having a very dynamical principle in\nits quantum mechanical form and gaining back a simple worldview. The\ndifficulty in achieving that is requiring some new mathematical\nformulations of classical GR. In my mind that is collapsing some\ncategorical continuum, categorical deRham complex, categorical tensorial\nfunctions, or categorical nonlinear functional equations. When I have the\ntime, I will probe into what this could be meant. Somehow I have a strange\nfeeling that their superstringly resurrected gamma function may encode\nsome categorical secret. (You know in Chapter 1 of Superstring Theory, Vol\nI of Green, Schwarz, Witten, they described how they resurrected that\nfunction in superstring theory if I not remember wrong.)\n\nFirst of all, let us set aside the graviton picture first. I know the\ntensor field in the Lagrangean and the equations force them to think that\nway. I know how reasonable they are to regard the propagation of\ngravitational waves as the propagation of gravitons. I know even in this\nsci.physics.research forum there are ample explanations why a spin-2\ngraviton field arises and how naturally it comes up in perturbative\nsuperstring theory. In fact, I want to argue that exactly because of this\nkind of naturalness thats the reason why gravity mixing with other forces\nor the nonlinearization of other forces is possible if one can reformulate\ntheir classical field theory that can be extended to a coordinate-free\nquantum mechanical language like the categorical language used in John\nBaez topological quantum field theory. (Of course, I dont want their\ncurrent language that cant describe dynamics or measure local\ngeometry/topology.)\n\nWe all know that gravitational force is very universal and nothing can be\nshielded from it. The lesson of General Relativity is spacetime is not\nstage for dynamics happening there. It has an active role in all plays of\ndynamics. The classical picture tells us that matter curves spacetime and\nspacetime demands matter move in its geodesic path. However, the quantum\npicture doesnt stop there or is not very well defined there because one\nshould take into the consideration of quantum mechanics. Then a classical\ngeodesic path is not accurate enough to describe the quantum mechanical\npicture. So, a new dynamical principle must be set up there. I adopt the\nabstract notion of A affects B, and vice versa B affects A dynamical\nprinciple. It sounds like a bit Yin-Yang dynamical equilibrium. Yin is the\nwave behavior, and Yang is the particle behavior.\n\nBefore I can incorporate this dynamical principle, I need to suppose the\nfollowing picture. Suppose a point-particle is just a spacetime defect or\nthe singular point of a local spacetime vortex. Different point-particles\nhave different kind of singularity. Now, let us turn on the wave-particle\ninteraction picture. A point-particle moving in spacetime is now regarded\nas some spacetime defect moving in quantum spacetime in a quantum\nmechanical way. If we just look at the singularity, we will miss the wave\nbehavior. For example, the active role of quantum spacetime may be to\nresolve this singularity while directing the particle movement because\nmoving a singularity may encode too much information and stress at a point\nof spacetime. Quantum mechanics forbids that. Then the particle movement\nis being transformed into a bulk granular movement. (Local blow-up in\nhigher dimension may be allowed.) Let me take a fluid flow analogy.\nWarning! This is absolutely an analogy. Before the formation of a clear\nand clean vortex in a fluid flow, we can see that a patch of curved flow\nlines is observed. Whether that patch of flow lines can form a singularity\nor not that is a later consequence. However, if we look at the patch or\nvortex from a distance, the granular patch does look or the vortex looks\nlike a particle moving in spacetime. Here the spacetime continuum is\nplaying a very significant active role. Analogously, it means the quantum\nspacetime fabric plays a very active role in the dynamics. I want to point\nout that the patch may be local but without a well-defined boundary, and\nthe information encoded in it may be nonlocal within that local region of\nspacetime. What it implies is that you or Nature takes either all the\ninformation within it or nothing when you or Nature measures it. Now, the\ninteraction picture is the following:\n\nParticle <-----> Granular <-----> Wave\n\nThis looks like a kind of dual action and back reaction transformation\nprocess in a dynamical equilibrium way. I hope people can see that this\nindeed has adopted the A affects B, and vice versa B affects A dynamical\nprinciple.\n\nI think I should stop here, and leave the explanations for gaining back\na simple worldview later.\n\nA thought can be left in a region of spacetime with very slow temporal\ndegeneration for the physicists of future generations if absolutely\nnothing disturbs it in the meantime.----Charles Hui\n\nWatch out, hundred years later, Einstein will come back to chew out the\nsecretly encoded meaning of the resurrected gamma function, and finish his\nnot-yet-finished business if a completely coordinate-free language is\navailable at his time".---Charles Hui\n\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>Re: Wave-Particle Duality in Dynamical Equilibrium
This post is not about the Copanhagen School interpretation of quantum
mechanics. Instead, it is about what the wave picture should be in a
quantum gravity theory. I hope after I depict my philosophical picture
about the wave-particle duality, people will feel a bit acceptable or
digestible for the possibility of nonlinearizing other forces or
nonlinearized matter wave, and their love sentiment of classical General
Relativity (GR) will be compensated because the requirement of fixing
classical GR will be compensated by having a very dynamical principle in
its quantum mechanical form and gaining back a simple worldview. The
difficulty in achieving that is requiring some new mathematical
formulations of classical GR. In my mind that is collapsing some
categorical continuum, categorical deRham complex, categorical tensorial
functions, or categorical nonlinear functional equations. When I have the
time, I will probe into what this could be meant. Somehow I have a strange
feeling that their superstringly resurrected \gamma function may encode
some categorical secret. (You know in Chapter 1 of Superstring Theory, Vol
I of Green, Schwarz, Witten, they described how they resurrected that
function in superstring theory if I not remember wrong.)
First of all, let us set aside the graviton picture first. I know the
tensor field in the Lagrangean and the equations force them to think that
way. I know how reasonable they are to regard the propagation of
gravitational waves as the propagation of gravitons. I know even in this
sci.physics.research forum there are ample explanations why a spin-2
graviton field arises and how naturally it comes up in perturbative
superstring theory. In fact, I want to argue that exactly because of this
kind of naturalness thats the reason why gravity mixing with other forces
or the nonlinearization of other forces is possible if one can reformulate
their classical field theory that can be extended to a coordinate-free
quantum mechanical language like the categorical language used in John
Baez topological quantum field theory. (Of course, I dont want their
current language that cant describe dynamics or measure local
geometry/topology.)
We all know that gravitational force is very universal and nothing can be
shielded from it. The lesson of General Relativity is spacetime is not
stage for dynamics happening there. It has an active role in all plays of
dynamics. The classical picture tells us that matter curves spacetime and
spacetime demands matter move in its geodesic path. However, the quantum
picture doesnt stop there or is not very well defined there because one
should take into the consideration of quantum mechanics. Then a classical
geodesic path is not accurate enough to describe the quantum mechanical
picture. So, a new dynamical principle must be set up there. I adopt the
abstract notion of A affects B, and vice versa B affects A dynamical
principle. It sounds like a bit Yin-Yang dynamical equilibrium. Yin is the
wave behavior, and Yang is the particle behavior.
Before I can incorporate this dynamical principle, I need to suppose the
following picture. Suppose a point-particle is just a spacetime defect or
the singular point of a local spacetime vortex. Different point-particles
have different kind of singularity. Now, let us turn on the wave-particle
interaction picture. A point-particle moving in spacetime is now regarded
as some spacetime defect moving in quantum spacetime in a quantum
mechanical way. If we just look at the singularity, we will miss the wave
behavior. For example, the active role of quantum spacetime may be to
resolve this singularity while directing the particle movement because
moving a singularity may encode too much information and stress at a point
of spacetime. Quantum mechanics forbids that. Then the particle movement
is being transformed into a bulk granular movement. (Local blow-up in
higher dimension may be allowed.) Let me take a fluid flow analogy.
Warning! This is absolutely an analogy. Before the formation of a clear
and clean vortex in a fluid flow, we can see that a patch of curved flow
lines is observed. Whether that patch of flow lines can form a singularity
or not that is a later consequence. However, if we look at the patch or
vortex from a distance, the granular patch does look or the vortex looks
like a particle moving in spacetime. Here the spacetime continuum is
playing a very significant active role. Analogously, it means the quantum
spacetime fabric plays a very active role in the dynamics. I want to point
out that the patch may be local but without a well-defined boundary, and
the information encoded in it may be nonlocal within that local region of
spacetime. What it implies is that you or Nature takes either all the
information within it or nothing when you or Nature measures it. Now, the
interaction picture is the following:
Particle <-----> Granular <-----> Wave
This looks like a kind of dual action and back reaction transformation
process in a dynamical equilibrium way. I hope people can see that this
indeed has adopted the A affects B, and vice versa B affects A dynamical
principle.
I think I should stop here, and leave the explanations for gaining back
a simple worldview later.
A thought can be left in a region of spacetime with very slow temporal
degeneration for the physicists of future generations if absolutely
nothing disturbs it in the meantime.----Charles Hui
Watch out, hundred years later, Einstein will come back to chew out the
secretly encoded meaning of the resurrected \gamma function, and finish his
not-yet-finished business if a completely coordinate-free language is
available at his time".---Charles Hui
This post is not about the Copanhagen School interpretation of quantum
mechanics. Instead, it is about what the wave picture should be in a
quantum gravity theory. I hope after I depict my philosophical picture
about the wave-particle duality, people will feel a bit acceptable or
digestible for the possibility of nonlinearizing other forces or
nonlinearized matter wave, and their love sentiment of classical General
Relativity (GR) will be compensated because the requirement of fixing
classical GR will be compensated by having a very dynamical principle in
its quantum mechanical form and gaining back a simple worldview. The
difficulty in achieving that is requiring some new mathematical
formulations of classical GR. In my mind that is collapsing some
categorical continuum, categorical deRham complex, categorical tensorial
functions, or categorical nonlinear functional equations. When I have the
time, I will probe into what this could be meant. Somehow I have a strange
feeling that their superstringly resurrected \gamma function may encode
some categorical secret. (You know in Chapter 1 of Superstring Theory, Vol
I of Green, Schwarz, Witten, they described how they resurrected that
function in superstring theory if I not remember wrong.)
First of all, let us set aside the graviton picture first. I know the
tensor field in the Lagrangean and the equations force them to think that
way. I know how reasonable they are to regard the propagation of
gravitational waves as the propagation of gravitons. I know even in this
sci.physics.research forum there are ample explanations why a spin-2
graviton field arises and how naturally it comes up in perturbative
superstring theory. In fact, I want to argue that exactly because of this
kind of naturalness thats the reason why gravity mixing with other forces
or the nonlinearization of other forces is possible if one can reformulate
their classical field theory that can be extended to a coordinate-free
quantum mechanical language like the categorical language used in John
Baez topological quantum field theory. (Of course, I dont want their
current language that cant describe dynamics or measure local
geometry/topology.)
We all know that gravitational force is very universal and nothing can be
shielded from it. The lesson of General Relativity is spacetime is not
stage for dynamics happening there. It has an active role in all plays of
dynamics. The classical picture tells us that matter curves spacetime and
spacetime demands matter move in its geodesic path. However, the quantum
picture doesnt stop there or is not very well defined there because one
should take into the consideration of quantum mechanics. Then a classical
geodesic path is not accurate enough to describe the quantum mechanical
picture. So, a new dynamical principle must be set up there. I adopt the
abstract notion of A affects B, and vice versa B affects A dynamical
principle. It sounds like a bit Yin-Yang dynamical equilibrium. Yin is the
wave behavior, and Yang is the particle behavior.
Before I can incorporate this dynamical principle, I need to suppose the
following picture. Suppose a point-particle is just a spacetime defect or
the singular point of a local spacetime vortex. Different point-particles
have different kind of singularity. Now, let us turn on the wave-particle
interaction picture. A point-particle moving in spacetime is now regarded
as some spacetime defect moving in quantum spacetime in a quantum
mechanical way. If we just look at the singularity, we will miss the wave
behavior. For example, the active role of quantum spacetime may be to
resolve this singularity while directing the particle movement because
moving a singularity may encode too much information and stress at a point
of spacetime. Quantum mechanics forbids that. Then the particle movement
is being transformed into a bulk granular movement. (Local blow-up in
higher dimension may be allowed.) Let me take a fluid flow analogy.
Warning! This is absolutely an analogy. Before the formation of a clear
and clean vortex in a fluid flow, we can see that a patch of curved flow
lines is observed. Whether that patch of flow lines can form a singularity
or not that is a later consequence. However, if we look at the patch or
vortex from a distance, the granular patch does look or the vortex looks
like a particle moving in spacetime. Here the spacetime continuum is
playing a very significant active role. Analogously, it means the quantum
spacetime fabric plays a very active role in the dynamics. I want to point
out that the patch may be local but without a well-defined boundary, and
the information encoded in it may be nonlocal within that local region of
spacetime. What it implies is that you or Nature takes either all the
information within it or nothing when you or Nature measures it. Now, the
interaction picture is the following:
Particle <-----> Granular <-----> Wave
This looks like a kind of dual action and back reaction transformation
process in a dynamical equilibrium way. I hope people can see that this
indeed has adopted the A affects B, and vice versa B affects A dynamical
principle.
I think I should stop here, and leave the explanations for gaining back
a simple worldview later.
A thought can be left in a region of spacetime with very slow temporal
degeneration for the physicists of future generations if absolutely
nothing disturbs it in the meantime.----Charles Hui
Watch out, hundred years later, Einstein will come back to chew out the
secretly encoded meaning of the resurrected \gamma function, and finish his
not-yet-finished business if a completely coordinate-free language is
available at his time".---Charles Hui