Matti,
When I google the term U-matrix it seems it concerns self organizing maps of neurons. Just as in string theory the "weights" are a problem.
Are you using the term this way?
The idea of a distance, based on colors and gray codes and so in has been considered solved for a long time- it comes up in the classification of music themes for instance. For me it has always been a "quasic" distance concept but that is not all of space any more than the more conventional ideas of dimensions and continuity.
Yes, there are higher concepts of broken symmetry with certain concepts of groups- but these are not always explicit in our usual notions of mathematics. What keeps say a 5th dimensional game from playing itself? Clearly particles are like abandoned ships mysteriously lost at sea and can be claimed for salvage- save on the generational levels in which things default to zero in surreal numbers then the structures reset.
Zero-point ideas are not clearly defined to treat action as you suspect in such broken symmetries and differences of particle mirrors -especially if you merely assert the concept of multi-Planck levels or values.
It may follow then that such descriptions merely outline the shallow surface of what consciousness is (and a hierarchy of theory at a few prime zeros at that. Quantum theory should not rest in its own limitations but we have to reach a little beyond that to get a better picture. In effect we should expand our consciousness along with new theories.
The PeSla
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A sample of a lot of calculator play last night.
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http://arxiv.org/abs/hep-th/9610043
Lubos has interesting posts today with links. While it is part of the picture I doubt the ultimate ground is only this conjecture:
"The membrane world volume is a noncommutative geometry embedded in a noncommutative spacetime."
How is it then, that in the overall picture matter and dark matter can at times be imagined to commute? Such symmetries or asymmetries of action and all of those things of which we are aware as yet unsolved in sting theory can have some theoretical scrutiny, especially if it is not clear our experimental technology can verify things yet or never.
These notions are deeper than string theory, and our concept of such limited relations between strict and few dimensions, or for that matter our understanding of topologies at singularity as if they are some sort of points or complicated spaces centered at some central but spacious singularity.
This is not to say that perhaps at a center still deeper than this or upon some principle even deeper than observed violations of cherished symmetries and holographic principles still more comprehensive physics is to be found- that or perhaps something in the mystery of it all of a spiritual seeming nature (yes, Matti if consciousness is real it is a part of reality). Can these be shown to be equivalent to superstring theory in a sense without superstrings?
So, someone begins to see that something may exist beyond that final property of commutativity- that can explain why things are integral and quantized in such a world of uncertainty as statistics. Would this not focus on the idea of an iota point as a grounding structure in some concept of strings? If the mediators of particle forces are heavier in a sense are they not more compact in space contrary to the idea that more raw matter takes up more space?
There should come a time for a young theoretician that he breaks away into new territory, even if reluctantly so... after all, the first compact discs cost a lot and are now obsolete and the machine to play them was rather large- and yet it came in two varieties of frequency derived by the Japanese from in integral equation.
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I already replied and got the reply to my email box but nothing
ReplyDeleteappeared in the blog. I tried again but with similar outcome. Therefore I reply here. Maybe some virus genius has managed to take handle of my blog and destroys my own comments! I have had similar problems also with homepage: all book files had disappeared.
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Dear PeSla,
this is a pure accident although U-matrix has its deepest applications
in consciousness theory.
U comes from unitary process. In zero energy ontology one must
generalize the the usual notion of S-matrix. U-matrix is the
fundamental unitary matrix and between zero energy states rather than
initial and final states as S-matrix. The rows of U-matrix- I call them
M-matrices- are orthogonal and defining time-like entanglement
coefficients between positive and negative energy parts of zero energy
state.
M-matrix has as its standard physics analog thermal S-matrix and
product of square root of density matrix bringing thermodynamics part
of quantum theory and of unitary S-matrix that physicist is usually
interested. This provides the first level justification for the
non-unitary S-matrix used in the description of say kaon-antikaon
system.
I have done enormous amount of work in attempts to discover the master
formula for S-matrix. The realization that one must leave the framework
of positive energy ontology was needed to meet the challenge and indeed
led within few years to the long sought manifestly unitary master
formula.
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Zero point energy (the notion irritates me;-)) has nothing to do with
zero energy ontology which generalizes the usual positive energy
ontology. Zero energy ontology is consistent with crossing symmetry and
could be motivated also by it.
One implication of zero energy ontology is that any physical state can
in principle be reached from vacuum by a quantum jump and without
breaking the conservation laws: therefore the theory is fully testable
whereas in positive energy ontology conservation laws forbid the
testing of the theory since the total quantum numbers of the Universe
cannot change.
Zero energy ontology is also necessary for the realization of the idea
that intentional action corresponds to quantum jump replacing p-adic
space-time sheet with real one. The vanishing of quantum numbers makes
this possible quite generally (for non-vanishing quantum numbers one
would have problem since only rationals are common for reals and
p-adics).
Zero energy ontology leads also to new view about second law and
resolution of the paradoxical finding that the initial state of
Universe is highly entropic whereas second law would suggest just the
opposite.
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Also the hierarchy of Planck constants has deep mathematical and
physical justifications: it is not just an adhoc statement. There is a
refined theory about the hierarchy of Planck constants at my homepage
but unfortunately most colleagues simply refuse to read.
Theory building is just expansion of mathematical consciousness. The
first lesson that Buddhist novice learns is that it is necessary to get
rid of ego since it is just the ego which prevents the expansion of
consciousness. This lesson should be part of any course in theoretical
physics some day: it is tragic that people with brilliant brain and a
fantastic symbol manipulation skills cannot do anything useful because
their gigantic ego prevents the light of consciousness from shining;-).
Matti,
ReplyDeleteThank you for you reply... I will mull this over before I comment explicitly if I can. In general I find very little if anything to disagree with the spirit and ideas of your model, what concerns it relates to, and what is suggested as conclusions.
I feel there is still something we all but partially grasp here and what it is does not seem to fit into our general stances of debate.
If in the supposed suppression of Buddhist consciousness the ego is gotten rid of- where does it go? Contrary to what some may read here I see the issues of consciousness as very relevant to the discussion, coincidence or not, but such things are still considered shaky or outside the mainstream science.
In this post I casually mention my calculator play and in that I am also a novice when some new area may or may not have significance later. Yet I got an email asking for clarification as Mr. Leaf was intrigued by the patterns and numbers. So I gave it some thought as to what I might reply to him. For one thing I am myself intrigued by how others find similar patterns in numbers and do seem to be excluded from the collective formal enquiry.
I did not post interesting things about the 1152 group (my mood yesterday was of a terrific background toothache and sleep certainly made me more aware of the mortality of ego and yet the freedom of new and informal physics meditations. That sense of our human element in any such notions and calculations- an insight thru the darkness.
It is not resolved or is a matter of the separate schools if grasping the cycle of life one reaches Buddhahood then even the Buddha has to relearn again- a paradox. And even the Christ was taught carpentry by Joseph.
This reply may be too long here so I may continue some comments in the next post. None of this is meant do challenge your efforts nor promote my out of nowhere experience- by that I hope you understand and forgive my lapses into doubts.
The PeSla