Friday, 25 October 2013
People are ignorant selfish stupid narrow-minded blinkered childish and usually plain evil and that means you!
This post gets deleted from forums as do most I post: I am censored from discussing this topic with anyone can anyone explain why and how I can communicate with other humans?
I believe the Amplituhedron is the start of a new kind of physics. That may be a grandiose claim, but I am very excited indeed to find out what results will come of it. I have been studying this shape and trying to learn the physics and maths properly for many years and I realised last May that my model is itself what I consider a "piece of time". My model is made of matchsticks and qtips, and I built it because I visualised the matrix geometry of quantum mechanics in some deep meditations to explore what might be missing, if anything. My conclusion was that nothing is missing but that the symmetries are not rotational but rather an elastic recoil, like a yoyo or the rotational torque in a slinky (when one end is held and the other dropped and enough of a tug is there to return the lower end).
I came at the idea from a different perspective, but in May started mailing Mathematicians and Physicists and trying to talk to someone suggesting that Grassman exterior calculus if applied to spinor representations should construct all the geometry and scattering amplitudes of the standard model and explain the redundancies in the model and why it contains singularities, which I also believe to be fundamental and literally central to and fleshing out this problem. We do not understand what a singularity is. Beyond the Spinor and Grassman connection there is a question about what connection means.
The truly extraordinary thing about this object is that we have no words to describe it. My work focuses on what I call "chamfers" which I believe are related to different orders of stationary point in the theory of infinite sets. I am also starting a blog about my research which after some months and the confirmation of the Amplituhedron I now feel is making real progress. Probability, time, space are not applicable to the Amplituhedron and yet they are generated by it. The structure of the Amplituhedron is not made from angles or distance, but rather the geometry which aligns singularities such that they are viewable as one object from some perspective. I am quite sure that these alignments have a far far deeper significance for number theory as well as physics. What we are talking about when we use the term "energy", "space", even "number" and "axis" or "dimension" may be up for grabs. New definitions need to be laid down or preferably discovered to exist in a set of clear mathematical operations to describe what the Amplituhedron really is.
I believe the Amplituhedron is the start of a new kind of physics. That may be a grandiose claim, but I am very excited indeed to find out what results will come of it. I have been studying this shape and trying to learn the physics and maths properly for many years and I realised last May that my model is itself what I consider a "piece of time". My model is made of matchsticks and qtips, and I built it because I visualised the matrix geometry of quantum mechanics in some deep meditations to explore what might be missing, if anything. My conclusion was that nothing is missing but that the symmetries are not rotational but rather an elastic recoil, like a yoyo or the rotational torque in a slinky (when one end is held and the other dropped and enough of a tug is there to return the lower end).
I came at the idea from a different perspective, but in May started mailing Mathematicians and Physicists and trying to talk to someone suggesting that Grassman exterior calculus if applied to spinor representations should construct all the geometry and scattering amplitudes of the standard model and explain the redundancies in the model and why it contains singularities, which I also believe to be fundamental and literally central to and fleshing out this problem. We do not understand what a singularity is. Beyond the Spinor and Grassman connection there is a question about what connection means.
The truly extraordinary thing about this object is that we have no words to describe it. My work focuses on what I call "chamfers" which I believe are related to different orders of stationary point in the theory of infinite sets. I am also starting a blog about my research which after some months and the confirmation of the Amplituhedron I now feel is making real progress. Probability, time, space are not applicable to the Amplituhedron and yet they are generated by it. The structure of the Amplituhedron is not made from angles or distance, but rather the geometry which aligns singularities such that they are viewable as one object from some perspective. I am quite sure that these alignments have a far far deeper significance for number theory as well as physics. What we are talking about when we use the term "energy", "space", even "number" and "axis" or "dimension" may be up for grabs. New definitions need to be laid down or preferably discovered to exist in a set of clear mathematical operations to describe what the Amplituhedron really is.
Wednesday, 23 October 2013
Amplituhedron in simpler terms
This link makes the clearest breakdown of the geometry. With no reference to Quantum Mechanics the matrix maths is explained. The important question is: Why matrices and why is Spinor notation so useful?
Tuesday, 22 October 2013
Chamfers
The address of this blog is "Chamfers" being notches or cuts:
1) as a verb "to chamfer" is to cut of the edge or corner of two surfaces; to bevel. Also to cut a groove in to a surface or fluting.
2) as a noun a "chamfer" is the flat surface made by cutting off the edge where two surfaces meet, as in rounding the edges of a block of wood, or the process of whittling. It is also the furrow or groove as in a picture rail or Greek column.
3) the notion of variation of angle and depth of such a cut in patterns. Notches to record a count or decorative edging as in wooden furniture.
The word is apparently a back-formation from the Middle French "chamfrein" derived from "cant or chant" (Latin canthus) meaning "edge" and "frangere" to break. This construction is appropriate for my purposes. We get the word decant from similar roots with the idea being separation over an edge of small parts from suspended or sedimentary fluid medium.
The syllable cant was used in reference to the iron rim or tire of a wheel. Online etymology suggests derivation from the Celtic (as Welsh and Breton cant) with the Old North French meaning "corner" perhaps from German or Dutch origins as kante. Compared to the Greek kanthos meaning the "corner of the eye" there is a subtle shift in meaning to the edge of the circle of the eye and the separation between the seen and the unseen. The proposed Proto-indoeuropean root is kemb "to bend, turn, change" and kam-bo "corner or bend".
A related word is "Camber" meaning:
1) a slight convexity, arching or curvature allowing liquid to flow off e.g. a road, car bonnet
2) the slope of a curved road intended to minimize the centrifugal effect of inertia
3) upward concavity in the underside of a beam, girder or arch
4) the slight alignment of a vehicles wheels away from parallel
5) the curvature of an aerofoil
These are all references to the gentle sloping or vaulting of the sky, the roof, the ceiling, the earth. They share roots with the French "chambre", English "chamber" and "camera" as in the vaulted Camera Obscura.
This gently curving edge is the tendency for things to be as they are through change. The vault of the roof keeps the room stable in changing weather, while the vault of the sky and the stars also stays the same. The iron wheel tire maintains the integrity of the wheel, keeping it whole and keeping the vehicle travelling straight, while the turns and corners of the journey hold us fast to our destination.
The sound "com-" from the archaic Latin "com" (Latin cum) means "with". The proposed Proto-indoeuropean root kom- meaning "beside, near, by, with". It reduces to "co-" because it is such a fundamental concept in language. Even ancient writers were aware that the changing of one thing into another gradually over time is an exchange. The one loses while the other gains, we eat food, pour water on soil and the water is absorbed and seeds sprout. The roots of "combine" are Latin "combinare" or with two. The "bi" sound is a formless syllable denoting doubleness as a count, separation, multiplication, split depending on the context it is placed in. It is derived from the earlier Old Latin dvi- similar to Sanskrit, the Greek di- and Old English twi- from the notional Proto-indoeuropean root dwo.
Another interestingly related word is "comb" meaning a "toothed object". It is preserved as West Germanic kambaz, Old Saxon and High German camb, Old Norse kambr, with German Kamm and Dutch Kam from Proto-indoeuropean root gombhos or gembh- meaning "to bite, gnaw through, or a tooth". Here the roots of "combination" are the action of repeating combing causing a separation and ordering of some hair or perhaps wool in textiles. This would seem opposite until we look at the sounds and see the hair and the teeth as the gently curving edge of change becoming as it is.
So change is derived from "recompense, reciprocation", Old French changier meaning "to alter, exchange or switch". Latin cambire "barter" from Proto-indoeuropean root kemb "to bend, turn, change" again the same root as an Iron tire rim. So here is some sense of a law of balance and underlying order in these sounds. Turns being taken in trade are like the turns in "game" play and the rules followed to create from nothing a game. Also the roots are clear in "gambling". We call someone "bent or crooked" if they cheat, or are trying to charge over the odds in a business deal. The odds, or the arguments to justify a price, are a consensus emergent pattern generated by rules and physics.
So the chamfers I refer to are an abstract idea. The notion of a stationary point where opposites and changes conspire to remain the same and changing. Consider a raindrop as a stable system, from seed to ground it is a notch in a field of condensing vapour, which in gathering becomes able to maintain itself to such a degree that it falls and actually physically impacts the ground. The ground erodes, each drop carries minerals, perhaps the water is absorbed. The action forms channels we call rivers and streams, but you can never cross the same river because it is the form of the river banks we see and the water is long gone. Even the meanders of the river will change and writhe over low lying areas as the power of the water moves the land itself.
Thus chamfers have it in their nature to join and separate, to dwindle and to identify to supplement one another, amplifying to form the channel of action of those chamfers. Such a channel is by its nature a transition, a reciprocal exchange and itself a chamfer. The channel itself is simply a notch as a raindrop, each stream and the whole river. It is more than obvious that the river is made from streams from water runoff from the land of raindrops from condensed vapour in clouds blown around by winds evaporated from seas, all molecules in electric and gravitational fields made of Chromodynamic fields in gluon soup forming waveguides for energy to generate harmonic dimensionally stable states of change which remain basically constant. However, we have not identified the chamfers.
Because we have not identified the chamfers we are forced to pick a random scale for anything we do, which we then standardise by consensus just as the chamfers do. All forms of measurement and standardisation are meaningless as they are changing, so while the chamfers remain the same in the state of change our measurement of them is staying the same and drifts reciprocally to the change meaning ultimately we measure different quantities as the same when they are quite distinct.
1) as a verb "to chamfer" is to cut of the edge or corner of two surfaces; to bevel. Also to cut a groove in to a surface or fluting.
2) as a noun a "chamfer" is the flat surface made by cutting off the edge where two surfaces meet, as in rounding the edges of a block of wood, or the process of whittling. It is also the furrow or groove as in a picture rail or Greek column.
3) the notion of variation of angle and depth of such a cut in patterns. Notches to record a count or decorative edging as in wooden furniture.
The word is apparently a back-formation from the Middle French "chamfrein" derived from "cant or chant" (Latin canthus) meaning "edge" and "frangere" to break. This construction is appropriate for my purposes. We get the word decant from similar roots with the idea being separation over an edge of small parts from suspended or sedimentary fluid medium.
The syllable cant was used in reference to the iron rim or tire of a wheel. Online etymology suggests derivation from the Celtic (as Welsh and Breton cant) with the Old North French meaning "corner" perhaps from German or Dutch origins as kante. Compared to the Greek kanthos meaning the "corner of the eye" there is a subtle shift in meaning to the edge of the circle of the eye and the separation between the seen and the unseen. The proposed Proto-indoeuropean root is kemb "to bend, turn, change" and kam-bo "corner or bend".
A related word is "Camber" meaning:
1) a slight convexity, arching or curvature allowing liquid to flow off e.g. a road, car bonnet
2) the slope of a curved road intended to minimize the centrifugal effect of inertia
3) upward concavity in the underside of a beam, girder or arch
4) the slight alignment of a vehicles wheels away from parallel
5) the curvature of an aerofoil
These are all references to the gentle sloping or vaulting of the sky, the roof, the ceiling, the earth. They share roots with the French "chambre", English "chamber" and "camera" as in the vaulted Camera Obscura.
This gently curving edge is the tendency for things to be as they are through change. The vault of the roof keeps the room stable in changing weather, while the vault of the sky and the stars also stays the same. The iron wheel tire maintains the integrity of the wheel, keeping it whole and keeping the vehicle travelling straight, while the turns and corners of the journey hold us fast to our destination.
The sound "com-" from the archaic Latin "com" (Latin cum) means "with". The proposed Proto-indoeuropean root kom- meaning "beside, near, by, with". It reduces to "co-" because it is such a fundamental concept in language. Even ancient writers were aware that the changing of one thing into another gradually over time is an exchange. The one loses while the other gains, we eat food, pour water on soil and the water is absorbed and seeds sprout. The roots of "combine" are Latin "combinare" or with two. The "bi" sound is a formless syllable denoting doubleness as a count, separation, multiplication, split depending on the context it is placed in. It is derived from the earlier Old Latin dvi- similar to Sanskrit, the Greek di- and Old English twi- from the notional Proto-indoeuropean root dwo.
Another interestingly related word is "comb" meaning a "toothed object". It is preserved as West Germanic kambaz, Old Saxon and High German camb, Old Norse kambr, with German Kamm and Dutch Kam from Proto-indoeuropean root gombhos or gembh- meaning "to bite, gnaw through, or a tooth". Here the roots of "combination" are the action of repeating combing causing a separation and ordering of some hair or perhaps wool in textiles. This would seem opposite until we look at the sounds and see the hair and the teeth as the gently curving edge of change becoming as it is.
So change is derived from "recompense, reciprocation", Old French changier meaning "to alter, exchange or switch". Latin cambire "barter" from Proto-indoeuropean root kemb "to bend, turn, change" again the same root as an Iron tire rim. So here is some sense of a law of balance and underlying order in these sounds. Turns being taken in trade are like the turns in "game" play and the rules followed to create from nothing a game. Also the roots are clear in "gambling". We call someone "bent or crooked" if they cheat, or are trying to charge over the odds in a business deal. The odds, or the arguments to justify a price, are a consensus emergent pattern generated by rules and physics.
So the chamfers I refer to are an abstract idea. The notion of a stationary point where opposites and changes conspire to remain the same and changing. Consider a raindrop as a stable system, from seed to ground it is a notch in a field of condensing vapour, which in gathering becomes able to maintain itself to such a degree that it falls and actually physically impacts the ground. The ground erodes, each drop carries minerals, perhaps the water is absorbed. The action forms channels we call rivers and streams, but you can never cross the same river because it is the form of the river banks we see and the water is long gone. Even the meanders of the river will change and writhe over low lying areas as the power of the water moves the land itself.
Thus chamfers have it in their nature to join and separate, to dwindle and to identify to supplement one another, amplifying to form the channel of action of those chamfers. Such a channel is by its nature a transition, a reciprocal exchange and itself a chamfer. The channel itself is simply a notch as a raindrop, each stream and the whole river. It is more than obvious that the river is made from streams from water runoff from the land of raindrops from condensed vapour in clouds blown around by winds evaporated from seas, all molecules in electric and gravitational fields made of Chromodynamic fields in gluon soup forming waveguides for energy to generate harmonic dimensionally stable states of change which remain basically constant. However, we have not identified the chamfers.
Because we have not identified the chamfers we are forced to pick a random scale for anything we do, which we then standardise by consensus just as the chamfers do. All forms of measurement and standardisation are meaningless as they are changing, so while the chamfers remain the same in the state of change our measurement of them is staying the same and drifts reciprocally to the change meaning ultimately we measure different quantities as the same when they are quite distinct.
Soliton Theory
I have been working on an idea for some years called Soliton Theory. It is the pure and simple principle that everything is a soliton. This extends the definition of what constitutes a soliton. Where solitons are a special class of wave in a restrictive and dissipative system, I maintain that all systems by virtue of their manifest action are solitonic in nature.
To understand the solitary wave phenomenon it is necessary to appreciate the nature of a standing wave, a very nice example of which can be found here. There are 3 phases to be aware of.
1) the wave machine builds an oscillation, and the speed the wave moves combined with the wavelength synchronise to form a standing wave. The reflected wave builds on the incident wave to double the amplitude.
2) the machine is switched off and the synchronicity of the oscillation loses very little energy due to the lack of entropic or turbulent flow. The wave is sustained by gravity and dissipated through fluid viscosity and entropy.
3) as the wave dissipates it moves through a harmonic series, gradually releasing the stored energy into shorter wavelengths. The interference of the reflected wave kills the standing wave at half the wavelength.
Of note is the way the standing wave begins to "walk" up and down the channel moving in and out of phase. Also the later part of the video (after some time has elapsed in reality) the wavelets of the dissipating oscillation constitute only half the length of the tank, thus one quarter of the base harmonic, and the other half of the tank is relatively flat after it's passing.
The simplest example of a Solitary wave is where such a standing wave is allowed to freely exit into a shallower channel of water so that the speed of travel matches the energy dispersal through viscosity. The wave then moves as a single unit, maintaining its amplitude over some considerable distance and time. In fact even if such a channel opens out into a chaotic environment and deep water such as the sea, it will maintain its integrity moving as a unit, even exhibiting particle like behaviour. A solitary wave can bounce off an obstacle like a ball, or with a high enough energy can punch a hole through a surface like a bullet.
Of note is the way the standing wave begins to "walk" up and down the channel moving in and out of phase. Also the later part of the video (after some time has elapsed in reality) the wavelets of the dissipating oscillation constitute only half the length of the tank, thus one quarter of the base harmonic, and the other half of the tank is relatively flat after it's passing.
The simplest example of a Solitary wave is where such a standing wave is allowed to freely exit into a shallower channel of water so that the speed of travel matches the energy dispersal through viscosity. The wave then moves as a single unit, maintaining its amplitude over some considerable distance and time. In fact even if such a channel opens out into a chaotic environment and deep water such as the sea, it will maintain its integrity moving as a unit, even exhibiting particle like behaviour. A solitary wave can bounce off an obstacle like a ball, or with a high enough energy can punch a hole through a surface like a bullet.
Thursday, 10 October 2013
Professor Quibb: Infinity: The First Transfinite Cardinal
Professor Quibb: Infinity: The First Transfinite Cardinal
not sure what this will do, hopefully make a link ..
This site is full of interesting mathematics.It has the best introduction I have found to Mathematical infinties considered from set theory perspective, very readable :)
not sure what this will do, hopefully make a link ..
This site is full of interesting mathematics.It has the best introduction I have found to Mathematical infinties considered from set theory perspective, very readable :)
Wednesday, 9 October 2013
The recent discovery of the Amplituhedron, as a new kind of mathematical object, is confirmation that the object I have discovered is also real. It is also likely at least a pointer towards the question of what the Amplituhedron really means. The problem I have been having is that the language has not yet developed to talk sensibly about some of the concepts involved. Perhaps to sensibly ask questions of this object - not just a new object a new kind of object requires something... new words.
This blog then is inspired by the Amplituhedron and intended to generate some discussion and some new words via the meme-sphere.
I have no idea if I will start with a glossary of terms or with some philosophy, or maybe just with some daily blogs of the things I am studying at the moment. Certainly over time I hope to build up a useful hub of apparently unrelated links, reference material; also the language, symbols and tools to discuss them in some depth.
I have long been of the opinion that there is little point teaching science and technology from many years past. This leads to University level (here in the UK) which is itself largely historical and all out of date by the the time a student graduates. The increase in technology and the unexplored potentials such advances present are accelerating the redundancy of the detail and of many advanced elements of these subjects.
The Amplituhedron most importantly is a simple geometric construction. One mathematical line I wish to follow is explaining how this works and why. Finally! Quantum Mechanics and the mysterious behavior at those scales has a form that any adolescent with some maths background should be able to follow and grasp. This blog aims to make such material available and accessible to any who wish to learn it, or from it.
The other line of inquiry is the more interesting and is philosophical grounding. The Amplituhedron is without time or space and in some sense embedded in time and space, while in some sense generating time and space - in between time and space? or maybe gluing time to space.... you get the idea.
We need to start talking about lengths with no distance and which niether connect nor seperate something which is not space or time, that's a few words missing from our language for starters.
This blog then is inspired by the Amplituhedron and intended to generate some discussion and some new words via the meme-sphere.
I have no idea if I will start with a glossary of terms or with some philosophy, or maybe just with some daily blogs of the things I am studying at the moment. Certainly over time I hope to build up a useful hub of apparently unrelated links, reference material; also the language, symbols and tools to discuss them in some depth.
I have long been of the opinion that there is little point teaching science and technology from many years past. This leads to University level (here in the UK) which is itself largely historical and all out of date by the the time a student graduates. The increase in technology and the unexplored potentials such advances present are accelerating the redundancy of the detail and of many advanced elements of these subjects.
The Amplituhedron most importantly is a simple geometric construction. One mathematical line I wish to follow is explaining how this works and why. Finally! Quantum Mechanics and the mysterious behavior at those scales has a form that any adolescent with some maths background should be able to follow and grasp. This blog aims to make such material available and accessible to any who wish to learn it, or from it.
The other line of inquiry is the more interesting and is philosophical grounding. The Amplituhedron is without time or space and in some sense embedded in time and space, while in some sense generating time and space - in between time and space? or maybe gluing time to space.... you get the idea.
We need to start talking about lengths with no distance and which niether connect nor seperate something which is not space or time, that's a few words missing from our language for starters.
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