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#1
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a galathaean theory of space
[ the following was rejected from sci.physics.foundations
for attempting to overstimulate interdisciplinary debate through excessive cross-posting ] i have learned that to be an effective usenet crank one must have a crackpot theory of space to defend whether mike gordge or henri wilson or any of those fighting for or against various continua or jack sarfatti evangelising the interesting models connecting the zero-point to inertia and gravity or robert israel on euclidean dynamics ( though of course not with the same existential commitments ) every name is throwing their hat in the ring so i have decided to destroy all remnants of credibility ( meagre as they may be ) and describe some ideas on space i have toyed with over the years when i first studied relativity i became very impressed by the writings of ernst mach i enjoyed the way he related properties of space to properties of interaction but both berkeleyan immaterialism and einsteinian relativity seemed to fall short of the machian interactionism in particular in their notions of space i began to think that models of space should know only distance between two existents that there was no good way to define a space of possible points without introducing counterfactual existents and other nonoperational existents space could only be defined in terms of properties on collections of existents and i started simply with two-point distance relations the observation that at the time "cinched" the model for me was that none of the known forces had angular dependence except in the presence of 3 or more particles (and their higher multipole terms) that all known forces decompose to interactions between existents models of space should be in the language of networks with the edges of the interaction graph colored by distances and other "interaction intensities" to start i used simple distance pairs d , d , d , ... 12 13 23 for existents e , e , e , ... 1 2 3 so that a succession of cases could present themselves for analysis now i was drawn to first find a formulation that would recapitulate the euclidean / galilean dynamics so that i could understand better the translation to this language of space 1 existent models have no interactions and no notion of distance of pairs they are very lonely and boring 2 existent models can define d 12 there are several natural dynamics that i have studied here but in general any H(d ) = C provides a dynamic 12 if d = constant 12 this describes a completely correlated and combined state there is no change with time and we can see that if we map this to euclidean we see the natural appearance of circles in this model in particular this model only has derived notions of angular arrangement but not one innate to the two-point description now if both existents are "inertial" and i translate in the euclidean model whose dynamics i want to emulate i see a point and a line of locations for the other existent d will decrease to a minumum and then increase 12 the constant of integration can be taken as that minimum distance d mu and focus on the perpendicular d as the initial condition |_ then 2 2 2 d = d + ( d - v t ) 12 mu |_ 2 2 2 d /\ (d ) = - 2 d v /\ t + O( (/\t) ) 12 -- 12 |_ 2 -- -- or as the first "fundamental" equation in this formulation: |
#2
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a galathaean theory of space
galathaea wrote:
[snip crap] i began to think that models of space should know only distance between two existents [snip rest of crap] A relativistic universe has four distinct distances: luminosity (inverse square), angular diameter, parallax, and proper motion. No two of them need agree to maintain consistency. GPS works. Idiot. -- Uncle Al http://www.mazepath.com/uncleal/ (Toxic URL! Unsafe for children and most mammals) http://www.mazepath.com/uncleal/lajos.htm#a2 |
#3
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a galathaean theory of space
On Feb 27, 8:14 am, Uncle Al wrote:
galathaea wrote: [snip crap] i began to think that models of space should know only distance between two existents [snip rest of crap] A relativistic universe has four distinct distances: luminosity (inverse square), angular diameter, parallax, and proper motion. No two of them need agree to maintain consistency. GPS works. gps works because it is so easy to develop a pointwise relativistic model of distances all of the above measures except for proper motion are easy to develop in the dynamics angular measures are all embedded in the differential structure of the theory as derived notions their behavior does not change from the standard model which is why i claim lack of testable predictions proper motion is the pointwise distance used in the galathaean models i have derived ( though i did try once to enforce an operational definition of relativistic distance with the result of ugly formulas that i never could simplify ) Idiot. yes i am i notice _my_ theory is to abandon angles as a fundament of space and "your" theory is to push angles into the torsion at points so my theory is distinctly anti-al! do you mind if i use this in the advertisements? -=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=- galathaea: prankster, fablist, magician, liar |
#4
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a galathaean theory of space
On Feb 27, 7:21 am, "galathaea" wrote:
[ the following was rejected from sci.physics.foundations for attempting to overstimulate interdisciplinary debate through excessive cross-posting ] notice also that this formulation is automatically affine which appears to be a fundamental character of natural law but must be derived in pointful formulations of space i have learned that to be an effective usenet crank one must have a crackpot theory of space to defend whether mike gordge or henri wilson or any of those fighting for or against various continua or jack sarfatti evangelising the interesting models connecting the zero-point to inertia and gravity or robert israel on euclidean dynamics ( though of course not with the same existential commitments ) every name is throwing their hat in the ring so i have decided to destroy all remnants of credibility ( meagre as they may be ) and describe some ideas on space i have toyed with over the years when i first studied relativity i became very impressed by the writings of ernst mach i enjoyed the way he related properties of space to properties of interaction but both berkeleyan immaterialism and einsteinian relativity seemed to fall short of the machian interactionism in particular in their notions of space i began to think that models of space should know only distance between two existents that there was no good way to define a space of possible points without introducing counterfactual existents and other nonoperational existents space could only be defined in terms of properties on collections of existents and i started simply with two-point distance relations the observation that at the time "cinched" the model for me was that none of the known forces had angular dependence except in the presence of 3 or more particles (and their higher multipole terms) that all known forces decompose to interactions between existents models of space should be in the language of networks with the edges of the interaction graph colored by distances and other "interaction intensities" to start i used simple distance pairs d , d , d , ... 12 13 23 for existents e , e , e , ... 1 2 3 so that a succession of cases could present themselves for analysis now i was drawn to first find a formulation that would recapitulate the euclidean / galilean dynamics so that i could understand better the translation to this language of space 1 existent models have no interactions and no notion of distance of pairs they are very lonely and boring 2 existent models can define d 12 there are several natural dynamics that i have studied here but in general any H(d ) = C provides a dynamic 12 if d = constant 12 this describes a completely correlated and combined state there is no change with time and we can see that if we map this to euclidean we see the natural appearance of circles in this model in particular this model only has derived notions of angular arrangement but not one innate to the two-point description now if both existents are "inertial" and i translate in the euclidean model whose dynamics i want to emulate i see a point and a line of locations for the other existent d will decrease to a minumum and then increase 12 the constant of integration can be taken as that minimum distance d mu and focus on the perpendicular d as the initial condition |_ then 2 2 2 d = d + ( d - v t ) 12 mu |_ 2 2 2 d /\ (d ) = - 2 d v /\ t + O( (/\t) ) 12 -- 12 |_ 2 -- -- or as the first "fundamental" equation in this formulation: . d d = - d v 12 12 |_ 2 i felt at the time that this seemed to mesh with the views of poincare on relativity but i look at the equation now and cannot quite see why it is a very elegant conservation equation in units of area per time as also found in newtonian mechanics or revilla's goldbach work or in quantum black hole thermodynamics these are beautiful units there is more structure at 3-existents here euclidean restriction actually inhibit possible space state there are the triangle inequalities d + d d 12 13 = 23 d + d d 12 23 = 13 d + d d 13 23 = 12 constraining possibilities and correlating the d_ij now following out similar calculations to the two existent case derived in a euclidean frame where e is stationary 1 http://i16.tinypic.com/3ywvbjk.jpght...om/2e4k86h.jpg . d d = - d v 12 12 2 mu alpha 2 . d d = - d v 13 13 3 mu alpha 3 . d d = [ ( x - x ) ( v - v ) + 23 23 2 alpha 3 alpha 2 x 3 x ( y - y ) ( v - v ) ] 2 alpha 3 alpha 2 y 3 y an important point about these formulations is that the constants on the right side are just constants call them C simple conservation symmetries and the values from the euclidean ontology simply one way to name the relationships between constants from here on the generalisation is just repetition but the structure is lain for complete graphs distances form a traceless symmetric matrix D(t) 0 d d d d d d d ... 12 13 14 15 16 17 18 d 0 d d d d d d ... 12 23 24 25 26 27 28 d d 0 d d d d d ... 13 23 34 35 36 37 38 d d d 0 d d d d ... 14 24 34 45 46 47 48 d d d d 0 d d d ... 15 25 35 45 56 57 58 d d d d d 0 d d ... 16 26 36 46 56 67 68 d d d d d d 0 d ... 17 27 37 47 57 67 78 d d d d d d d 0 ... 18 28 38 48 58 68 78 . . . . . . . . . . . . . . . . . . . . . . . . the dynamics of this matrix conserve constants element-wise and thus completely decomposes in the inertial case but of course to me the point was always secretly to relax and generalise these conditions noneuclidean spaces nonmanifold spaces strange topologies with exotic (un-"real") metrics distance distributions and stochastic interpretations discretisations are obvious and seem to naturally describe petri nets and other models for a linear logic or pi calculus i used to think about possibilities like interpreting quantum mechanics in "inconsistent" distance sets but later when i read fotini markopoulou i would think about how this might be a model structure on which to map "consistent geometries" as a dual interpretation to consistent histories it was a different approach from connes' deformations into noncommutative spaces and didn't quite seem to mesh with other physics foundations yet it had all these nice theoretical properties - machian - interactionist - does not platonise space existents are not assigned point positions in a space pairs of existents have a property distance - dimensions, metrics, connectivity, etc. all easily generalisable in this model - provides the ontology necessary for the known interactions so i would nurse these particular delusions secretly feeding them by developing relativistic versions (simple) or trying to generalise to forms that were in some way quantum ( never could come up with anything intuitive that i could derive anything with ) i would read loop quantum gravity papers straining my eyes in this way i do trying to find an interpretation in their algebra because their language seemed so suggestively close but i haven't touched this in years and most of it is in one of four boxes of papers that i still need to go through and organise because i have moved often over that time and i have always felt slightly ashamed and i never wanted to show anyone because i was afraid of the type of insanity exposed but i have seen the courage of the cranks on usenet and in their spirit and in the fullest earnestness i present the above outline of the galathaean theory of space it is a revolutionary theory despite its lack of concrete testable prediction like einstien's negation of the ether or preferred frame for once my theory is appreciated it will show present-day science for the sham it is any hidebound reactionary or self-appointed defender of the orthodoxy can challenge my theory with all their nazi zeal but i will not be harmed because i don't really care if it is "right" or not its just a pastime i have had that i wanted to finally share according to http://math.ucr.edu/home/baez/crackpot.html you probably should not give any of this much time -=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=- galathaea: prankster, fablist, magician, liar |
#5
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Galathaea, What are the inputs, the givens, and the desired results ?
Hi Galathaea,
You're trying to model what, exactly ? and why should I care ? What are the inputs, the givens, and the desired results ? |
#6
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Galathaea, What are the inputs, the givens, and the desired results ?
On Feb 27, 3:22 pm, Jeff...Relf wrote:
Hi Galathaea, You're trying to model what, exactly ? and why should I care ? What are the inputs, the givens, and the desired results ? Since when do you give a **** about physics, relf? |
#7
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Galathaea, What are the inputs, the givens, and the desired results ?
On Feb 27, 4:22 pm, Jeff...Relf wrote:
Hi Galathaea, You're trying to model what, exactly ? and why should I care ? What are the inputs, the givens, and the desired results ? i am trying to model spatial relationships between existents without introducing the unobservable space usual physics presupposes some kind of "manifold" structure or at least some kind of background "point" structure and each individual existent is given "position" by being assigned a location in this space when i am feeling particularly machian this starts to feel a little dirty because there are points not assigned to existents and it is possible to define places inaccessible from existents and the whole thing is very counterfactual so some time ago i derived some equations for a distance-only approach let me give describe the triangle case in a little more detail 1 |
#8
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a galathaean theory of space
"galathaea" wrote in news:1172589666.019951.314600
@z35g2000cwz.googlegroups.com: i began to think that models of space should know only distance between two existents that there was no good way to define a space of possible points without introducing counterfactual existents and other nonoperational existents space could only be defined in terms of properties on collections of existents and i started simply with two-point distance relations I'm not sure I see how Galathaean space differs from Euclidean space. He too begins with 2 points and a distance. His straight line is your d. We don't get Platonized space until the Cartesian Plane. Am I missing something? |
#9
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Physicists ( and engineers ) don't need a Swiss Army knife.
Hi Galathaea, Why are you posting from both Win_XP and Mac boxen ?
Physicists ( and engineers ) don't need a Swiss Army knife. You don't use a fork-lift to pick up a pea, nor do you use a fork to pick up pallet loads. Quoting from my website, " www.Cotse.NET/users/jeffrelf/ ": Based on the desired result and " givens ", scientists chose the best model(s)... be it Quantum Mechanics, thermodynamics, special relativity, general relativity or a mix. Like thermodynamics, Quantum Mechanics and the Uncertainty Principle are about temperatu An ideal laser is perfectly coherent, at absolute zero. ( But the energy of the wave itself is the proper temperature ) The more coherent your source is ( e.g. a laser, Cooper pairs, etc. ): 1. The less you can know ( in theory and/or practice ) which slit the particle passed though. 2. The more you know, a priori, the momentum, the frequency and the integrity of the interference pattern. General Relativity can model the field of a massive object only because its energy is so very predictable. " Static 4-D spacetime " ( i.e. GR's gravitational field ) equals, " 8 * pi * G * T_αβ / c^4 ". ( A function of density and pressure ) The metric and the light cone can be " givens ", static. Geodesics inside the cone are " Timelike ", geodesics on the surface of the cone are lightlike, the rest are spacelike. If you assume the -+++ signature ( i.e. imaginary time, orthogonal to " length " ) timelike signatures are negative. |
#10
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Physicists ( and engineers ) don't need a Swiss Army knife.
On Feb 27, 5:55 pm, Jeff...Relf wrote:
[snip garbage] You are neither an engineer or a physicist, idiot relf. You didn't even graduate high school. |
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