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wrote: Could I be more specific about what I mean? Let's try: NOTHING CAN BE LIMITED TO "ANY" NUMBER OF DIMENSIONS. Conversely: Reality consists of ALL possible dimensions, and is NOT really "3" dimensional: YOU CAN NOT HAVE MORE DIMENSIONS THAN ALL OF THEM. Once you state, "This is 1 dimension above/beyond ALL OF THEM" you are talking gibberish. Pure mathematics allows for gibberish BECAUSE pure mathematics need not have ANY connections with anything other than itself (its equations balance themselves alone, using NOT reality but its own set of imperfect/incomplete/mortal rules/principles). If one abstracts the least single dimension from ANYTHING it effectively removes that something from reality. And then you are talking fantasy (science- fiction). This is true of anything termed "three-dimensional" (no purely "3" dimensional anything can really exist). And it is just as true of ANYTHING and EVERYTHING assigned ANY (whatever) purely arbitrary "number" of dimension(s). .... Reality consists of a never-ending infinity of possible ways to describe the dimensions of ANY and EVERY object that exists. There can exist NO manifold, however complex, which is not already part of our so-called "3-D" reality (because the term "3-D" is not a pure description of reality but merely/purely "short-hand" mathematics--it ONLY makes sense in mathematics: out in the real world it is pure gibberish). And every time one attempts to describe the universe in terms of mathematical gibberish, one must eventually be forced to pay a high price indeed for one's blithering foolishness. In pure mathematics it is quite acceptable to speak gibberish: Our children often use "(infinity + 1)" in their "equations" while understanding that while it may make a kind of perfect mathematical sense, IN REALITY it's really senseless (meaningless/nonsense). And this "mathematical gibberish" is not confined to "(infinity + 1)" or "reality as purely 3-dimensional." The trick is not being led to believe that "mathematical gibberish" HAS ANY REALITY. If one does, then one might begin to sprout on about time-travel, and "other dimensions," and every other kind of gibberish in the universe. And then either we must confine such gibberish-sprouting chaps to the lunatic asylum as soon as possible or we are all mad. Trying to advance the process, S D Rodrian http://poems.sdrodrian.com http://physics.sdrodrian.com http://music.sdrodrian.com http://mp3.sdrodrian.com Self-evidently, this must include ANY/ALL "dimension(s)" which EXCLUDE ANY OTHER "dimension(s)." PLEASE RE-READ this thread from the original post! " http://groups.google.com/group/sci.p...&rnum=1&lnk=ol " String theory is marvelous mathematics. But if ANY part of it depends on the existence of Santy Claus, then it has NO connection with reality PERIOD. And since string theory can only balance its equations by piling on extraneous (e.g. impossible) "dimensions" it is pure FICTION--"pure/absolute." I am assuming that the possibility exists that there are more than 3 spatial dimension. And I am telling you there ain't nothin' that ain't made up of all the innumerable (look up that word in a book called The Dictionary) dimensions of our reality. IF SOMETHING LACKS EXISTENCE IN ANY DIMENSION (or part thereof) IT CANNOT EXIST. (And if something exists in one or more dimension than those of our reality... then those so-called other "dimensions" are superfluous: PURE FANTASY.) String Theory is pure mathematics ONLY. Get over it. Rejoice, in fact. Now you won't have to waste your life trying to figure out how string theory governs life! The Achilles Heel of String Theory. The instant the term "dimensions" ["the number of elements in a basis of a vector space," "the quality of spatial extension] is used in any text to describe anything which might exist apart from our reality (universe)... you can be certain it is a science- fiction text, and NOT science (as "the systematic study of reality"). I don't mind the use of fantasy in mathematics because mathematics concerns the harmonizing of equations in the same manner that a science-fiction story must be purged of story-line self-contradictions (anomalies). My objection is when either mathematics or science- fiction tries to pretend that it has a greater hold on reality THAN does reality. One can say that a hollow sphere has two dimensions, but that does not remove such a sphere from our reality. And in the same way ALL imagined manifolds ("a topological space in which every point has a neighborhood that is homeomorphic to the interior of a sphere in Euclidean space of the same number of dimensions") can never exist apart from our reality. The confusion, if there is any, arises from the purely mathematical convenience of speaking about our reality being a "3" dimensional reality. Whereas no purely three-dimensional object could possibly exist "in reality." It's not really a matter of the gimmick we observe in animation where the RoadRunner runs into the "reality" of a painting, which painting then seen from behind proves to "really" be nothing more than a "two- dimensional" painting. The fact is that even theoretically it would be hard to conceive of anything being even one-dimensional: Imagine a one-dimensional wall... From where would one even "see" such a wall? Certainly if we are NOT looking at it dead-on we are using other dimensions than its merely one to "see it" (since we would have to look at it from a little to the side). Throw a left-hook and freeze your punch in mid-air: Your floating arm is describing an impossible journey through an infinite number of (certainly more than just three) dimensions! And thus too any circumference such as the earth's... And because all it would take would be a very tiny "little" ... no huge human eye could ever see it. (And we are talking strictly theoretically here.) The wall itself would have to be infinitesimally tiny. Impossibly tiny. Let's say that a Planck's Length is the smallest thing (and that there are no lengths as small as a Planck's Length to our Planck's Length, although I do not know of any objection to that). Then the wall would have to be a Planck's Length AND the observing eye would also have to be a Planck's Length and be looking at it perfectly head-on because if it were but even the smallest fraction to any side it would have to look at it from a second, third, or additional dimension. [You can see why it's much more easy to just look at a comic strip and believe the fiction that it's a two-dimensional drawing... even though we know that no true purely two-dimensional object can exist in our reality.] HINT: It's your mind agreeing to "go along with" the fiction that the comic strip/painting/photo graphic is two-dimensional. And if no purely one-, or purely two-, or even purely three-dimensional object can exist in our reality, then any talk of the existence of ANY-numbered- dimension is also nonsense... whether in or outside our reality. And if you can't see this, you're not really very smart, no matter how clever you may be (and not even though you be even as clever as a checkers-playing computer). The same thing with "time," which is strictly a notion in the human mind. In reality the universe consists of changes (most of which are oscillations, an electron's or a satellite's orbit). If the universe is considered to be "one thing," it may be possible to say it runs through a time-line from beginning to end; but the universe is not really "one thing" (in fact, it is not possible at this point in human history to point to anything which is absolutely "one thing" except we use the term loosely as a point of reference). Therefore each item (with the proviso that each item consists of sub-items each with its own "time"), each item has its own "time" apart from the "time(s)" of every other item in the universe. [Set ten identical tops spinning at the same time and most of them are all likely to stop spinning at the same time, all things being equal. But we're really talking coincidence here, since nothing demands that they--or all the tops in the universe--be set spinning at the same time.] Strictly on principle, because energy is neither created nor destroyed, some scientists may be therefore obliged to believe that "time" fluxes between the objects/items of the universe, neither going forwards nor backwards in sum. But thereby they also being forced to give up the notion of "time" as we're known it to this time. [Others see in this the sinister absence of enough anti-matter to harmonize the "timing' of the universe... and suspect that time indeed does go marching on.] This is why not all the atoms of a given element in the universe decay at once. But one thing is true: The matter of atoms which may have decayed may again be reconstituted into their original form inside a star's furnace or explosion. And then where does that leave the time-line of matter that has gone from old age (and even death) back to youth! In any case, our description of time is always quite superficial. And we usually limit such a description to a small fraction of a number of related changes, as the notion of a "past" (or a "future") are merely conveniences we use to "make sense to ourselves" of the human condition: In "Caesar's time" he was both child and man, but what we conveniently agree to overlook is that Caesar is still right here "in our own time" as well, just in some other form than either child or man. And yet every last atom that was Caesar is still here with us. see: http://physics.sdrodrian.com |
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