LaurieAG
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Posts posted by LaurieAG
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I posted the following thread about what the apparent light paths from sources rotating around a center of mass would look like geometrically.
http://www.scienceforums.net/topic/75390-apparent-red-shift-in-a-discrete-newtonian-frame/
It is well known that Newton worked out all of his proofs geometrically first before identifying the underlying mathematics and Einsteins papers progress from geometric considerations as well. When did this method become passe?
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All the removed emissions from our galaxy appear to be red shifted though.
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Transparency International uses several methods and indexes. The references at the bottom has a link to a 'users guide' to measuring corruption that may help.
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Could someone please point me in the right direction and tell me what the single most fundamental branch of mathematics is, and what branch of logic does the whole of mathematics stem from? Any help would be very much appreciated.
Geometry is the oldest. http://en.wikipedia.org/wiki/Geometry
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I saw 'the Enigmatic Giant', an anime episode, on tv the other day that describes the mechanics of an interresting dilemma.The giant in the title guards a bridge and only allows people to cross if they answer his question correctly.His question is "If you lie, I will run you through with my sword, but if you tell the truth, I will strangle you with my bare hands, what do you say?"The correct response is "You will run me through with your sword".If the giant runs the answerer through with his sword then, by his own stated rules, he implies that the answerer lied but if that was the case then the answerer was telling the truth in the original answer and should not be run through with the sword but should be strangled by the giants bare hands.
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Remove all of the ink cartridges and give the insides a good wipe over with tissues and then try starting from scratch and loading everything up from the beginning.
After you've cleaned up all the mess (wipe the cartridges as well) goto the Start/Devices and Printers/ page and select (right click the printer) the printer Properties and run a few of the Maintenance/cleaning/head alignment options. There is also a troubleshooting option off the right click that might help.
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There is no capital "The mass", in my opinion. It's perfectly fine that two physical quantities may have the same units.
I suppose you think it's perfectly fine to be out by 2 * Pi as well? The difference between Planck's constant h as used in rest mass calculations, and the reduced constant h_bar as used in relativistic mass calculations, is 2 * Pi. It's the same difference between the standard Compton wavelength and the reduced Compton wavelength.
Another character could be used to avoid confusion.
₥
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When you say " factor of 2 * Pi" does this mean the number 6.28??
Wouldn't that mean that pi ratio has an anti as in +1 and 1...
Pi ratio is also used to measure volume from what I know, would this be the reason why for the Compton Wavelength?
The reduced Compton wavelength is the standard Compton wavelength divided by 2 * Pi. Pi equals the circumference of a circle divided by twice its radius (or its diameter).
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The rest mass is the mass a particle has at rest. This is also equivalent to the energy it has at rest. I'm not sure of the history, but it seems to be a distinction between it and and another term that unfortunately cropped up, relativistic mass, which is E/c^2.
The distinction between relativistic mass and rest mass is a factor of 2 * Pi and the history is interesting.The Compton wavelength of a particle is equivalent to the wavelength of a photon whose energy is the same as the rest-mass energy of the particle.The reduced Compton wavelength is a natural representation for mass on the quantum scale. Equations that pertain to mass in the form of mass, like Klein-Gordon and Schrödinger's, use the reduced Compton wavelength. The non-reduced Compton wavelength is a natural representation for mass that has been converted into energy. Equations that pertain to the conversion of mass into energy, or to the wavelengths of photons interacting with mass, use the non-reduced Compton wavelength.A particle of rest mass m has a rest energy of E = mc^2. The non-reduced Compton wavelength for this particle is the wavelength of a photon of the same energy.1 -
The following diagram shows an alternate emission start point for source 3 that more closely resembles a sequence that would result in the Milky Way arm diagram. This variation has source 3 starting at position 4 and then traveling to position 1 in the opposite direction to all the other sources i.e. blue shifted not red. This explains how the area that we seem to think is our present location turns out with no shift. i.e. at the overlap they cancel out.
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It's very interesting where you can go from first principles.As the previous diagrams could be seen as the light paths produced from sources rotating around the Milky Way and being viewed by us I had a look at the Milky Way wiki ( http://en.wikipedia.org/wiki/Milky_Way ) and noticed a diagram of the various Milky Way arms.I immediately thought that this image looked very similar to the light paths obtained from 4 rotating sources so I added another two sources to my original diagram. I then counted the arms, noted their respective positions and end points and realised that this mapping was more than one complete rotation. I added extra paths outside the existing first cycle paths until I came up with an extended end elevation as shown on the diagram below. The source at point 4, 0 had gone through an entire extra rotation (4 quarters).
Now while this extended end elevation was similar to the Milky Way arms diagram I had to do 2 transformations (reverse and skew) to this end elevation to get the closest match to the arms as shown. After the Transformations I changed the colors and compared my projection with the image as shown. The central bar was easy to determine and it had actually appeared to mask some of the earlier photon paths.The only thing that didn't quite match up was the start location of the second arm from the right so I reversed the 2 simple transformations back to have a closer look at the start locations on the original model.
One thing the Milky Way arms image had was the start location of each of the 4 rotating sources (the arm start points) so, as the longest arm had gone through very close to 8 quarters of rotation (2 complete cycles), I decided to plot the sequence over 8 quarters from when each source started to emit. This longest arm/path (source rotating at point 4) did not actually reach the observation point after 8 quarters as shown in both the Milky Way arms diagram and in my own plot.This start sequence was a bit strange as the object that started emitting at point 2 in the 7th (second) quarter of rotation was the source shown at point 3 on my plot. In the Milky Way arms diagram and my own plot the original start point should be, once transformed, on the opposite side of the projection. That doesn't make sense as if it did start at the opposite point it must have either 2 quarters less or 2 quarters to start emitting in sequence. This anomaly appears to be directly related to the gap in the outer and longest arm and the stub where our own galaxy is situated and the extra.
Emission Start Sequence Order (after each complete Quarter Rotation)Start A Source starts emitting at point 4. This Source returns to the same position 4 after each complete cycle.Quarter 1 A Source starts emitting at point 2. This Source returns to position 3 after each complete cycle.Quarter 2 A Source starts emitting at point 3. This Source returns to position 1 after each complete cycle.Quarter 3 A Source starts emitting at point 3. This Source returns to position 3 after each complete cycle.Quarter 4 All sources 1, 4. 3, 2 are at positions 1, 4, 3, 2 respectively and rotate in this order for the last complete rotation (4 quarters).It is apparent that what we see as observed Milky Way galaxy arms could easily be the photon paths from 4 emitting sources (galaxies) rotating around a common galactic center.The scientific community needs to look seriously at all of the relevant facts and determine exactly what we are seeing in our cosmological observation datasets.Maybe then it will be time for a paradigm shift on our current perceptions of dark matter, shift and an expanding universe.
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This last diagram shows the photon paths from two sets of rotating sources (quasar or basic galaxy) that rotate around their own Local C.O.M. which also rotates around a higher level C.O.M. (H.L.C.O.M.) such as the galaxies and quasars that comprise the Milky Way. To keep things consistent for comparison purposes the photon paths from first diagram are shown and the pairs of sources take the same time to rotate once around their Local C.O.M. (L.C.O.M.) as their L.C.O.M. takes to rotate once around the H.L.C.O.M. (i.e. the pairs are in sync in their Local and Higher Level quarters).
It probably makes it easier to understand if you don't think of this Discrete Newtonian Reference Frame as a representation of 3D spacetime but more as a representation of a 3D timespace at a discrete moment (t0) with all the units of the x, y and z axis being measured by time and being consistent with each other. The apparent time dilation can also be measured as the times plotted are measured off the line between the H.L.C.O.M. and the observer and not the sources apparent position.The Apparent Shift of the photon paths arriving at the observer at any discrete instance:-(1) (a) Depends primarily on the shift produced by the largest moment of rotation of the sources L.C.O.M. (around a H.L.C.O.M) and secondarily by the shift produced by the sources rotating around their L.C.O.M. and (b) The secondary shift component produced by the L.C.O.M. rotation reduces in proportion to the ratio of the sources Local and Higher Level radii of rotation.(2) Depends primarily on the start position of the source with respect to the H.L.C.O.M. and the number of rotations the sources L.C.O.M. has completed around the H.L.C.O.M.I read a thread about someone who wanted to know how the integral and the area under the curve were related in calculus and was surprised that no one posted a simple diagram of a plot with the area under the curve shaded. Derivations from first principles can be a relatively useful tool for getting your head around apparently complex things.
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Basically all of these diagrams are to scale relative to the speed of light, the light travels in a straight line from source to observer and the distance travelled by the light from both rotating sources during one complete rotation equals 2 * Pi * the radius of rotation of the sources (i.e. the circumference of rotation in light years).
In the first quarter of rotation the light emitted from the source at point 1,0 has travelled to point 1,1 in a straight line at the speed of light and the source has travelled to point 4,0. The light from the source at point 3.0 has travelled to point 3,1 in a straight line at the speed of light and the source has travelled to point 2,0.In the second quarter of rotation the light emitted from the source at point 4,0 has travelled to point 4,1 in a straight line at the speed of light and the source has travelled to point 3,0. The light from the source at point 2.0 has travelled to point 2,1 in a straight line at the speed of light and the source has travelled to point 1,0. The light emitted during the first quarter continues to travel in a straight line from its point of emission towards the observer at the speed of light.In the third quarter of rotation the light emitted from the source at point 3,0 has travelled to point 3,1 in a straight line at the speed of light and the source has travelled to point 2,0. The light from the source at point 1.0 has travelled to point 1,1 in a straight line at the speed of light and the source has travelled to point 4,0. The light emitted during the first two quarters continues to travel in a straight line from its point of emission towards the observer at the speed of light.In the last quarter of rotation the light emitted from the source at point 2,0 has travelled to point 2,1 in a straight line at the speed of light and the source has returned to its start point 1,0. The light from the source at point 4,0 has travelled to point 4,1 in a straight line at the speed of light and the source has returned to its start point 3,0. The light emitted during the first three quarters continues to travel in a straight line from its point of emission towards the observer at the speed of light.The light emitted from both rotating sources is equal for each quarter of rotation but the apparent shift as shown in the diagrams is a result of the change of physical location of the source from the beginning of each quarter to the physical location of the source at the end of each quarter.
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If you look at the light paths from non rotating point sources in the same frame you will also see apparent shift.
The apparent path is what appears (what we see/measure) so using shift to determine if sources are expanding or contracting or stationary is only meaningful if those sources are at a Center of Mass and not rotating around it.
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I also plotted the apparent redshift if the C.O.M. is moving away or moving towards the observer.
As the clockwise rotating sources have an apparent redshift sum between 70-75% and anti clockwise rotating sources have an apparent blueshift sum between 70-75% this sum only tells us the direction of rotation. The x y z sum stays much the same at 50:50 and only indicates that the rotating sources are balanced.Rotating sources are different to stationary sources, apparently.
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Consider 2 equal light sources that continue to emit a consistent stream of photons as they rotate around a stationary Centre Of Mass (C.O.M.) inclined at 45 degrees and these streams travel at the speed of light, in a straight line without deviation or obstruction, from the point of emission to the Observer.Newtonian DomainIn this model there are no (1) small sizes, (2) great speeds or (3) huge masses involved to allow the projections to be scaled proportionally in a 3D Euclidean space that represents the paths of current and already emitted photons at a discrete instance in time. The only divergence from a true Euclidean representation is made by measuring the distances traveled off the line directly from the C.O.M. to the Observer, to allow for comparison with relativistic constructs based on a C.O.M frame. While time is used for all x, y and z axis measurements the actual time of the discrete instance being represented in this frame is t=0.MethodologyThe distance between the observer and the stationary C.O.M, = 2 * Pi * r where r is the radius of rotation of the 2 sources. The time taken for the source to rotate through one quarter = (2 * Pi * r)/4. This mapping only shows emitted photons that are still active at the time the observation is made and, during a period of one complete rotation, all these currently active photons will eventually be observed at a stationary observation point.If a photon was emitted from a rotating source at point 1,0 and the source completed one complete rotation in the time the photon took to travel to the observer at 1,4 the source will be back at point 1,0 and a line of photons will lead from the point 1,0 to the observer at point 1,4 at t=0. When the initial source rotated through one quarter it came to point 4,0 and emitted a photon that would travel from 4,0 to point 4,3 in the remaining 3 quarters before the source arrived back at 1,0 at t=0. After another quarter the source would be at point 3,0 and a photon travelling straight to the observer would have traveled another 2 quarters and be located at position 3,2 at the time the original photon sent from point 1,0 arrived at the observer at t=0. After a third quarter the source would be location at 2,0 and the photon emitted would travel to point 2,1 at the time the observation was made at t=0.Consequently a stream of photons emitted continually from a rotating source at point 3,0 after one rotation will have a path at t=0 that arrives at the observation point at 3,4 and leads back through points 2,3, 1,2 and 4,1 to the current location of the source at point 3,0 all at the same instance in time.SHIFT Determination methodThe wavelength shift is determined by comparing the discrete length of each light path for each quarter shown in the Top or Side Elevation with the length of a straight quarter and determined that quarters with paths longer than this should be drawn in red to indicate that the source was moving away during that quarter and subsequently any quarters shorter than this are drawn in blue to indicate that the source was moving closer during that quarter.SHIFT Consolidation methods(1) Quarterly via Top and Side Elevations (x & y or x & z axis). The length of discrete red and blue lines are added up for each quarter and the percentages of red vs blue lengths are plotted for each quarter and displayed in a percent area chart. The percentage of blue lines goes up from 20 to 30 during the 4 quarters and the average percentages were 25% for blue and 75% for red over the Complete Rotation path. 2 groups of 3 consecutive eights (6/8) appear in the 4 quarters that give ratios of red to blue at 100% red with the remaining quarter (2 eights) comprising 2 dominantly blue but never 100% blue areas and the first 1/3 of the first quarter where the ratio was close to 50%. The sum of x, y or x, z shift lengths does not reflect two equal sources rotating around a stationary C.O.M.(2) Complete Rotation via the End Elevation (x & y & z axis). The length of the discrete red and blue lines are added up and the average percentage of the sum of both blue and red lines is 50 percent.
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SANS Technology Institute is not well known but is one of the best and has Bachelor and Masters degree info here.
http://www.sans.edu/?utm_source=web&utm_medium=banner&utm_content=banner_id_11954&utm_campaign=STI
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Schmaltz rhymes with False.
Someone will probably come up with a rhyming proper name at some point.
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Fair enough. Yes I committed errors but truly, genuinely, I don't understand, and I am sure now that you don't understand my question.
Just to put an end at this scenario so that i can learn something from it: and that other people reading this long thread get a final correct idea.
O.K. the astronomer observes the motion of the E.T. coming from a planet 1000LY away in 1 day.
He observes this hilariously fast motion from the beginning till the end until the E.T. crashes on Earth.
The E.T. made the travel in 854.4 (of his) days.
He appeared (falsely) as if he made the travel in one of our days.
The astronomer observed the E.T. live in fast motion.
Is that it?
Where is Delta?
Still not right, if ET traveled 1000LY in 854.4 (of his) days then just how fast was he travelling?
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Why wouldn't you just use two clocks at points one light year apart, that both start when they detect the first type 1a supernova from an equidistant galaxy, and run a race between the two clocks/points?
You could then send out a series of staged light pulses every hour from the second clock location and delay the departure from the first location by a year so that the spaceship can start when the first pulse hits the detector on its nose and can compare its own time clock with the absolute time at both start and end points during the trip, regardless of whatever speed it was travelling.
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For a more mathematical example consider the set of possible numbers of row or columns of a matrix, M. If the matrix is square then M is also the dimension of the (vector) space spanned by the matrix.
It's probably easier to consider binary logic, as in discrete computer maths, and the presence of a high current input (1) vs a low current input (0).
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I cleared this type of ukash virus from a friends computer a couple of months ago.The process was very simple and I managed to remove it first go on Windows XP by using the following steps.Step 1: On boot press Alt+Ctrl+Del multiple times until the option to open the Task Manager comes up.Step 2: Click on Task Manager and open up the Processes tab.Step 3: Click on the process with the highest CPU activity and click End Process at the bottom right.Step 4: Delete the virus when asked by the Microsoft software.0
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Relativity has been proven per se, it is some of our perceptions and conceptions of relativity that are just plain wrong.
If you consider that my avatar image is a feedback loop screen capture of a simulation of a beam of photons going around the universe and running up its own clacker at 25 frames per second (i.e. classic Poincare section) except I cut out the rest of the 50 billion year or so trip via electronics. What is the relative speed of light in the electronic portion of the loop? i.e. in meters per second = 25 * 50,000,000,000 * 365.25 * 24 * 60 * 60 * 299,792,458 = 1,173,687,473,070,000,000,000,000,000 m/s. Beam me up Scotty, not.
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Additionally if you send one signal for each rotation of the glass plate any difference between the calculated electron speeds going one way and the other will cancel each other out (i.e. same as MM) and the timer counts will remain the same.
This was originally in response to a similar paradox with regards to a relativistic train that would only stop if optical signals were sent from the front and the back and both signals arrived at the center simultaneously. Move up in scale and the timer on the glass plate is in your relativistic (stationary) train on a huge circular (moving) track. This is similar to using galactic year scales (i.e. 1 galactic rotation) for non relativistic comparisons of cosmological observations of photons emitted from sources rotating around consistent galactic centers.
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Apparent Red shift in a discrete Newtonian frame
in Astronomy and Cosmology
Posted
While the above images represent what the paths would look like if the sources were rotating at c the distance traveled to the observer equals c/v * 2 * Pi * r where v is the angular velocity of the source. i.e. If the source had an angular velocity of 0.5 c the distance traveled would be c/0.5c = 2 times longer than at c.