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| I'm treating this as an open-source physics project, if anyone would like to join me at [Only registered users see links. ] The Theory of Moving Dimensions Dr. Elliot McGucken [Only registered users see links. ] In this paper I propose that the time dimension is moving relative to the three spatial dimensions. Such a concept may be used to explain physical phenomena encountered in relativity and quantum mechanics, while offering a path for the unification of Quantum Mechanics and Relativity. Simply put, it is not possible to rotate an object into the time dimension without that object gaining a velocity. Thus the time dimension itself must be expanding relative to the three spatial dimensions. Another way of looking at this is asking, "Why does something always move when it is rotated out of the three spatial dimensions and into the time dimension?" If someone can conduct a Lorentz transformation on a ruler, and rotate it into the time dimension without it moving through the three spatial dimensions, I would very much like to hear about it. Einstein's two postulates of relativity state: I. The laws of physical phenomena are the same in all inertial frames. II. The velocity of light in free space is a universal constant, independendent of any relative motion of teh source and teh observer. I propose that the two postulates may be expressed in an alternative manner, by stating the following law of moving dimensions: I. The time dimension is moving relative to the three spatial dimensions. This can be shown illustrated in several ways: Consider an expression for the space-time interval of zero length, or of the null vector, which traces a photon's path through space-time: x^2+y^2+z^2-c^2t^2=0 or x^2+y^2+z^2=c^2t^2 Which for one spatial dimension becomes x^2=c^2t^2 or x=ct by taking the derivative of both sides with respect to t, we get dx/dt = d/dt (ct) = c so dx/dt = c And hence the time rate of change of the spatial dimension relative to the time rate of change of the time dimension is equal to the velocity of light. ct| / | / | / | / | / |/_______________ x Also, if we trace the path of a photon on a space-time diagram, the only way for a photon to remain stationary in space time is to move at the speed of light, or to keep up with the expanding time dimension. The null vector, which represents a vector of zero length in space-time, can only imply zero movement through space-time. Even though a photon moves through space at a velocity equal to C, it stays stationary in space-time. Is it not strange at first that in order to remain stationary in space time, a photon appears move at the speed of light through space? This is only because the time dimension itself is moving relative to space. Einstein proclaimed that all objects travel through space-time at c. Even though we perceive a ruler along the x axis to be stationary, it is yet traveling through space-time at the fixed speed of c, implying that time is moving through it. Rotate it towards the y axis, and its projection upon the x axis shortens, yet it still appears to be stationary, and it is still traveling through space-time at the rate of c. Rotate it into the time dimension, and it's projection along the x axis still shortens, but now it begins to move through the three spatial dimensions, while maintaining the fixed speed of c through space-time. Again, we see it move through the three spatial dimensions as it is rotated into the time dimension because the time dimension is moving relative to the three spatial dimensions. As Brian Greene points out in the Appendix to Chapter 2 of The Elegant Universe, we note that from the space-time position 4-vector x=(ct,x1,x2,x3), we can create the velocity 4-vector u=dx/d(tau), where tau is the proper time defined by d(tau)^2=dt^2-c^-2(dx1^2+dx2^2+dx3^2). Then the "speed through space-time" is the magnitude of the 4-vector u, ((c^2dt^2-dx^2)/(dt^2-c^-2dx^2))^(1/2), which is identically the speed of light c. Now, we can rearrange the equation c^2(dt/d(tau))^2-(dx/d(tau))^2=c^2 to be c^2(d(tau)/dt))^2 +(dx/d(tau))^2=c^2. This shows that an increase of an object's speed through space, (dx/d(tau))^2)^(1/2)= dx/d(tau) must be accompanied by a decrease in d(tau)/dt which is the object's speed through time, which also may be considered the rate at which time elapses on it's own clock d(tau) or the proper time, as compared with that on our stationary clock dt. As an object moves through space, it is rotated into the time dimension, and less wave fronts of time are allowed to pass through it relative to a stationary object, which bears the full brunt of wave fronts. Thus a moving clock will run slower, as all clocks are based on the probabilistic emission and propagation of photons, and as a moving clock catches up with the expanding wavefront of time, the chance that a photon will be emitted without being reabsorbed is diminished. Thus it is shown that the spatial and temporal dimensions are moving relative to one-another. The laws and equations of relativity and quantum mechanics rest upon this fundamental nature of physical reality. Relativistic and quantum mechanical phenomena can be accounted for by the underlying nature of the relatively moving dimensions. Time dialation, relativistic length contraction, and the equivalence of mass and energy can all be seen to derive from this concept of moving dimensions. The statistical wave nature of matter and energy also rests upon the relative motion of the underlying dimensions. As one rotates into the time dimension, one becomes more orthogonal to the spatial dimensions, and thus one's length contracts. And too, as the time dimension is moving relative to the spatial dimensions, one begins to move. Wave-particle duality and quantum mechanical probabilistic behavior can be accounted for by the relative motion between the dimensions, in which both particles and waves exist. Feynman's many-paths integrals, reflecting the notion that a particle travels all paths, can be accounted for by the fact that until it interacts with other matter in the three spatial dimensions, there is a probability that a particle or photon may exist as a pure wave, rotated into the fourth dimension, moving along with expanding time, independent of the spatial dimensions. So it is that radiowaves may pass through walls, carrying energy and thus mass. The second law of thermodynamics (increasing entropy) can be accounted for with the fact that all particles and matter have a chance of existing in a dimension expanding at a constant rate, equally in all dimensions, relative to the rest. The spherical symmetry of a photon's wavefront may be viewed as the result of matter having been rotated into the time dimension--the matter has become orthogonal to the spatial dimensions, and it is now expanding along with time, equally in all directions. Einstein's second postulate, stating that the velocity of light is a universal constant, holds to be true because the velocity of light is merely the rate of propagation of a dimension relative to the other dimensions. Although this relative rate of propagations between dimensions may vary, we shall always interpret it as a constant, because we are used to measuring the velocity of the propagation of energy relative to the velocity of the propagation of energy, which we write as c. Relativistic time dialation occurs because as an object approaches the speed of light, the object approaches the speed of the propagation of energy. As time is measured with regards to the propagation of energy, such as the emission of a photon (in an electrical circuit or a mechanical spring) or or the occurence of a random event which liberates energy, less time will pass for an entity which is propagating at a rate which is close to the propagation of energy itself. As an entity gains velocity, it is roated into the moving time dimension, and it in a sense it catches up with the dimension. Relativistic length contraction is always accompanied by an increase in velocity, as the probability that each quantum of the object resides in the time dimension is increased. Relativistic length contraction can be accounted for by the fact that as an object gains velocity its probabilistic wave function, or its essence, is rotated into the time dimension, and thus it appears shorter from the persepective of the three spatial dimensions. At the speed of light the object would have to be a photon, so as to be completely absent from the spatial dimension, as any presence or probability that a particle is in the spatial dimnsion means that there is a probability that the time dimension will expand without carrying it along, in essence leaving it behind for that moment it exists in the spatial dimension. Any material entity gains more energy as its velocity increases, and relativity demonstrates that the entity also gains more mass. When energy is added to an entity, it may also appears as mass, as that energy has a finite chance of interacting with the spatial dimensions. All matter has a spatial component, or a probability of interacting with space, whereas a photon only interacts with that which is in the time dimension. In order to cause an entity to move, quanta of energy must be added to it, and the entity will thus gain a new probabilities for existing in the space and time dimensions, as its overall wavefunction, including its mass and energy, is rotated out of the spatial dimension and into the time dimension. This rotation into the time dimension will be proportional to the amount of energy that has been added. As only photons can exist purely in the spatial dimension, no entities but for photons can ever reach the speed of light, as all matter has a finite chance of existing purely in the spatial dimension. This property gives rise to the concept of mass, as to exist in the spatial dimension curves the fabric of space-time about the existence. An entity moves through space-time according to its probability of existing in space and time. The more energy a given entity has, the more likely it is to exist in the time dimension, or be moving along in the dimension which is expanding relative to the spatial dimensions. Hence its greater velocity, and also its augmented chance of interacting with matter over a fixed distance. This increased chance of interacting with matter over a given distance can be associated with a shorter deBroglie wavelength or a higher frequency. A more energetic photon has a higher frequency, as it is composed of more substance, and more momenergy must pass a given point at any given time. A less energetic photon carries less momenergy, and thus there is a smaller chance of it interacting with matter as it passes on by. A more energetic photon has a higher probability of interacting with matter as it passes it by, as its shorter wavelngth and higher frequency represent a greater, more persistant existence in space-time. A photon has no spatial dimensions, as it is matter rotated into the time dimension. Einstein's famous equation which expresses the equivalnce between matter and energy: E=mc^2 holds true because radiative energy, consisting of photons, is merely matter which has been rotaed tinto the expanding time dimension. In quantum mechanics energy is accounted for by the operator which represents the infinitesimal change with respect to time, while momentum is accounted for by an operator which represents the infinitesimal change with respect to space. Both momentum and energy are defined with the concept of change and probability. And too, inherent in all waves are the concepts of motion and probability. Einstein's postulates derive from the fact that in all inertial reference frames, the relative motions between the dimensions is fixed at a constant rate, because the relative motion between the dimensions is measured relative to the relative motion. Thus the laws of physics, and all physical concepts, which are all fundamentally based on the concept of motion or change with respect to time, are also fixed in all interial frames, and the speed of light is constant in all inertail frames. As physics concerns itself at all levels with changes relative to both space and time, it makes sense that all physics, time, motion, reality, life, and consciousness itself are founded upon a stage which is endowed with intrinsic motion. The underlying fabric of all reality, the dimensions themselves, are moving relative to one another. I'm treating this as an open-source physics project, if anyone would like to join me at [Only registered users see links. ] |
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| Ranger West wrote: [snip] It ceased being meaningful with that sentence. If "time" moves then it moves in a coordinate frame in which you can quantify its movement [e.g., sqrt(/_\x^2 + /_\y^2 + /_\z^2) in Cartesian coordinates]. If you cannot quantify its movement, how do you know that it moves at all? 1) There are no global coordinate frames in covariant physical reality, or in any tensor theory. 2) You are only addressing spatial homogeneity. What about spatial isotropy? How do you know that time does not rotate vs. the spatial coordinates? One unsupportable claim opens the way for all contingent others. 3) If you need coordinates to describe the movement of a coordinate, then you do not have a minimal basis set of orthogonal coordinates - they can only move against a fixed primitive background that is your real coordinate system. Go fix your mistake. -- Uncle Al [Only registered users see links. ] [Only registered users see links. ] (Do something naughty to physics) |
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#3
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| Uncle Al <[Only registered users see links. ].net> wrote in message news:<[Only registered users see links. ].net>... It did not cease to be meaningful with that sentence. Just because something is new does not make it meaningless. there doesn't have to be. Time expands relative to the three spatial diemnsions. Occam's razor. If dimensions can curve relative to one another, then dimensions can move relative to one another. Eisntein showed that as a mass moves through space-time, it warps space-time, thus warping dimensions. If dimensions could not stretch and bend relative to smooth dimensions, then all of GR would be a fallacy. All I'm saying is that time is naturally expanding at the rate of c through the three spatial dimensions. It explains a lot, as accounted for in the rest of my paper. Please read it. & please answer these questions: Simply put, it is not possible to rotate an object into the time dimension without that object gaining a velocity. Thus the time dimension itself must be expanding relative to the three spatial dimensions. Another way of looking at this is asking, "Why does something always move when it is rotated out of the three spatial dimensions and into the time dimension?" If someone can conduct a Lorentz transformation on a ruler, and rotate it into the time dimension without it moving through the three spatial dimensions, I would very much like to hear about it. |
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| "Ranger West" <[Only registered users see links. ]> wrote in message news:c4449572.0311102117.77fd2024@posting.google.c om... news:<[Only registered users see links. ].net>... There is NO time or spacetime dimension. There is only continuity of space and particles. Relativity is alone relative rate of change of position in space and relative rate of change of state IN the continuum of the continuity called our universe. from: Spirit of Truth (using June's e-mail to communicate to you)! |
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| "Ranger West" <[Only registered users see links. ]> wrote in message news:c4449572.0311102117.77fd2024@posting.google.c om... news:<[Only registered users see links. ].net>... <snip> True. The total absence of meaning of your clause "the time dimension is moving relative to the three spatial dimensions" has nothing to do with its novelty and everything to do with the ignorance of the concept of "motion" reflected in its composition. Motion is *BY DEFINITION* a change of position as a function of time. Time and space are the metrics against which all motion is measured. "Expansion" of time is measured using what instruments, and against what references??? Which tells us you know nothing about what Uncle Al said. Ockham's razor is called for when unnecessary postulates are used. Your postulation of "motion" of time relative to space is unnecessary. It is even illogical. You are also ignorant of analytical geometry. A circle has curvature relative to almost everything, yet it need not "go" anywhere. In geometry "curve" is not a verb but an adjective. Einstein showed us that mass *exists* in space time and that all motion is relative. Space is curved near the mass. Describing time as a fourth dimension perpendicular to the three conventional dimensions and scaled by a factor of sqrt(-1)*c explains a lot more. One can convert observations of electromagnetic phenomena in any inertial frame of reference into other inertial frame of reference with a simple combination of coordinate translations and rotations that give rise to the generalized Lorentz transforms. IOW, if a charge is stationary in one frame of reference (representable by a diagonal tensor), then its representation in another frame of reference which is moving at a constant velocity WRT the first frame (which can be obtained by rotation of the four-dimensional space-time coordinate system) is obtained and is represented by a generalized four-tensor with the diagonal elements describing the electric charge and the off-diagonal elements describing the magnetic field. The applicable operators (translation, rotation, the d'Alembertian) are distributive and linear, so any number of charges and any combination of motions that can be represented in one frame can be perfectly characterized in another frame. [Only registered users see links. ] Simply put, but backwards. TYou have the cart pulling the horse. Imparting a linear velocity to an object changes the frame of reference in which it can be considered stationary to one which has been rotated in the x-t plane with respect to the first frame. That simply does not follow from your premise. Again, you have it backwards. You should ask, why does the frame of reference in which an object is considered stationary always rotate when the object is moved? You are talking about "rotation in time" as if is was a physical process applied to the *object* and not to the *frame of reference*. *Velocity* is what is done to the _object_, which leads to *rotation* of the _frame of reference_. Tom Davidson Richmond, VA |
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| Hello Tom, I'm not arguing with Tensor analysis. "tadchem" <[Only registered users see links. ]> wrote in message news:<[Only registered users see links. ]>... Absolutely. So we can measure the movement of time against space. Time expands at the speed of light with respect to space. Use a photon. A photon is rotated completely into the time dimension. In one second, it will be 3x10^8 meters from its starting point. You can use many different detectors to detect the photon, and a laser to generate it. Why is it illogical? New ideas are always unnecessary, aren't they? You misunderstood me. As the earth orbits the sun, it curves the spacetime in its immediate vacinity. As it passes a point, it stretches the spacetime. When it leaves the point, the spacetime relaxes. Hence the spacetime becomes more curved and then less curved relative to neighboring spacetime. Thus space and time can move relative to other space and time. All I'm saying is that time moves relative to space--it's really not all that new. Yes, he did. Yes, space is curved near the mass. And as the mass passes, the space curves more, and then curves less. Relative to what? Relative to flat spacetime. Of course it does. Who made you the God that determines cause and effect in this case? So very true on a mathematical level. But what is really happening on a physical level? Yes it does. Again, who made you the absolute God to dictate what questions I should ask? You're stopping at simple mathematical analyisis. Hell yes, acceleration is a physical process applied to an object. I don't accelerate my car's reference frame when I step on the gas--I accelerate the car. And the reference frame follows. Long before physicists conceived of reference frames, the universe was happy to move. A rotation in time, also known as a "boost," is a physical process resulting in the object accelerating. Simply put, one cannot rotate an object into time without that object gaining velocity. Thus the time dimension must be moving relative to thre three spatial dimensions. Dr. Elliot McGucken |
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#7
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| "Ranger West" <[Only registered users see links. ]> wrote in message news:c4449572.0311110606.1955284b@posting.google.c om... news:<[Only registered users see links. ]>... <snip> That is fine for detecting a photon, but what about *measuring* the "expansion of time?" You *say* the photon is "rotated completely into the time dimension" - does that mean it has no spatial dimension, not even a direction? What of objects that are not "rotated into the time dimension?" Are they totally devoid of temporal extent - appearing and disappearing from physical reality in the same instant? I am *trying* to get you to DEFINE the terms you are using - terms such as "rotation" as you are applying it to rotating objects into the time dimension. No. New ideas are necessary when observations (such as the advance of the perihelion of Mercury Einstein considered or the independence of gravitational acceleration on mass observed by Galileo) are not adequately described by current ideas. geometry Curvature of spacetime near the earth is due simply to the proximity of the earth and is independent of the motion of the earth around the sun. Even Newton recognized that gravitation varied with the masses and the distance involved, NOT with the velocity. This fails to *quantitatively* explain the measured curvature of spacetime at points NOT directly in the path of the earth, or at points a significant distance such as points of the orbit of the moon. Can you come up with something that depends on the earth's velocity that is at least as accurate as F = -G*M*m/r^2 with respect to physical measurements? Spacetime curves and un-curves as the masses come and go. OK. Non sequitur. Measurements are made within frames of reference, as comparisons between ARBITRARY points - usually one point identifying the object of interest and one point identifying the frame of reference of an observer. Are you measuring a point representing one space (and/or time) against a point representing another space (and/or time)? I still can't picture what you must be imagining as you say "space and time can move relative to other space and time." Excuse me! I simply forgot that I own no devices capable of applying a velocity to an object because there is no such thing. What I actually own is a 1992 Chevrolet Lumina with a V_6 Space-time Coordinate System Rotation and Translation Transformation Inductor. When I turn it on and properly adjust and control it, it is capable of rotating and translating space-time coordinate systems, resulting in the illusion of velocity. Interestingly, it is capable of rotating coordinate systems further into time or further away from time, but not completely into time (the speed of light, ot infinite speed< you tell me) or completely out of time (stasis as described by the great hyperphysicist Larry Niven). in the A little Demon hired by Maxwell is directing subatomic particles into different directions depending on their surface curvature and/or life expectancy. Show me how. What is the expansion rate as a function of the angle of rotation? What happens of the angle is reversed? What angle of rotation will take an object completely out of time? Define your variables, show *all* your work in the mathematical derivation of the expansion-rotation correlation. Think of me not as a God but as the Devil's Advocate. If you know whereof you speak, you should have no trouble addressing my queries with something other than an ad hominem counter-stroke - something substantive. the No. That is where we must START. The mathematical analysis will lead to quantitative (read "testable") predictions. The outcome of these tests will determine whether an hypothesis is valid or not. I am glad you see it even that clearly - "the reference frame follows". Can you accept then that the physical motion is the more proximal cause of the observed effects, and that the "reference frame" is an arbitrary imposition by the observer? When a tree falls in the forest, it disturbs the air. Whether or not is "makes a sound" depends on whether the word "sound" is defined in terms of the oberver (the psychological/perceptual definition) or the motion of air (the physicakl/mechanical definition). Where can I obtain a "time-rotation induction device?" Moving in what direction? How fast? What device can take my frame of reference and rotate it in a forward or backward time direction? Dr. of what, may I ask? I have worked with many "doctors" of many different kinds, and the only ones I have known (so far, anyway) who insisted on using the formal appelation in informal discourse did so out of insecurity, because they though that it bought them some small measure of respect. The last "McGucken" I met owned a hardware store in Boulder, Colorado - a VERY successful hardware store. I respected that. Tom Davidson Richmond, VA |
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| dimension , dimenstions , law , moving , relative , spatial , time |
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