*Point well noted.....
However, understand this,Time travel or event hopping does not have the effect of erasing events, all that happens is that history no longer follows a sequential path in the forward direction. Although the events that lead you to YOUR present are sequential the sequence is no longer synchronised with a forward time reference.
"The following are examples of other posts from other authors"..........
Events are merely results of interactions between matter-energy, spacetime, and whatnot. The original substrate has nothing to do with rate -- or, if you like, we can postulate that for the substrate everything always happens at a fixed rate. What we observe as events are superficial phenomena on top of the fundamental substrate. What we observe as differential event rates in different reference frames are merely a manifestation of the difference between the reference frames -- namely, that they are traveling at a certain rate with respect to us, or that they are in a strong gravitational field, etc. Basically, think about it this way: if the speed of light is the limit, then if something is moving away from you at 0.9c, then they can only move laterally at a maximum speed of (1-0.81c^2)^0.5. This would slow down the rate of any events in a travelling frame relative to the frame of the observer.
actualy,(1-0.81)^0.5 c as maximum lateral speed with c outside but I get the point, you basically have a triagle of the speed vectors with c being the hypothenusa, 0.9 c the realtive speed and 0.43 c the lateral speed. If you want all the speeds then (suppose the triagle was drawn from the origin) simply let the hypothenusa vector rotate around the origin then make an other circle around the 0.9 point with radius c, then all the points from the first circle who lie within the second one are allowed speeds, each speed vector is drawn from the 0.9 point to the first circle.
However I don't think with this only you will find the Lorentz equations because you are only talking about speeds, you will need one more thing since Lorentz gives the equations for time and space separatly.
the space component was missing from the picture i.e. (Frame Dragging) (but you do have to wonder how velocities get affected strictly along the line of travel, and whether the "space contraction" cannot be derived from the extreme difficulty of forward-directed interactions. But even if this is not correct (probably not, as it is too simple and someone would have figured it out by now) -- it conveys my idea. The idea is that time is not a coordinate and not a dimension -- but rather a local property of rate.Remember Newton's first law -- objects at rest remain at rest (which is just another description of inertia.) Once you get an object going, it acquires "kinetic energy" -- but what is that energy other than resistance against being stopped? In fact, the direct proportionality of kinetic energy to inertial mass paints it squarely as a manifestation of inertia.
Though you'd have to concede that perspective can be measured with just one eye, and besides, we can do things like radar or sonar ranging. No, the third dimension is just as fundamental as the other two; I don't think there is a way to make it any less fundamental. In fact, if you persist with examining the precise point at which measurement takes place, then you will have to conclude that there are no dimensions at all! After all, even a single eye is an array of photoreceptors arranged in roughly 2D. If you then consider just one photoreceptor, you can only measure points -- zero-dimensional objects. The very fact that you can arrange your sensors in 2 (or even 3) dimensions is a direct indication that those 3 dimensions are fundamental dimensions that matter can traverse or occupy. Time, however, does not fit under such classification.
To make any kind of a time measurement, you necessarily have to rely on memory of some sort. And memory is merely a stored state contained in the present configuration of the universe. You cannot define (nor indeed conceive of) time without usage of memory. Hence, my conclusion follows that time is but a cognitive illusion generated through memory.
You're right that my stance clashes with many folk notions. However, and at a risk of self-aggrandisement, I would remind you that the Copernican solar system, the Newtonian revolving spherical Earth, the Einsteinian relativity of space and time, and many other things used to equally clash with folk notions. So I'd argue that what used to make sense in the past provides a poor measuring stick against what actually might be real. But history is not useless or non-existent even in my framework; it is encoded in the current state of the universe, since the "present" is a direct sequitur of the "past". Indeed, history is part of our knowledge, and knowledge is primarily useful as a starting point of induction. Hence, it still makes sense to try and learn from "past mistakes", so that "history repeating itself" can be avoided.
As to the gravitational/inertial mass thing -- it's darn amazing that the two are related linearly, is it not? One just has to wonder what the constant of proportionality is, and more importantly where it comes from?
"In his memoirs, Einstein wrote that he was disturbed that his equations contained solutions that allowed for time travel. But he finally concluded: the universe does not rotate, it expands (i.e., as in the Big Bang theory) and hence Goedel's solution could be thrown out for "physical reasons." (Apparently, if the Big bang was rotating, then time travel would be possible throughout the universe!)
Then in 1963, Roy Kerr, a New Zealand mathematician, found a solution of Einstein's equations for a rotating black hole, which had bizarre properties. The black hole would not collapse to a point (as previously thought) but into a spinning ring (of neutrons.) The ring would be circulating so rapidly that centrifugal force would keep the ring from collapsing under gravity. The ring, in turn, would act like the Looking Glass of Alice. Anyone walking through the ring would not die, but could pass through the ring into an alternate universe.
Since then, hundreds of other "wormhole" solutions have been found to Einstein's equations. These wormholes connect not only two regions of space (hence the name) but also two regions of time as well. In principle, they can be used as time machines.
Recently, attempts to add the quantum theory to gravity (and hence create a "theory of everything") have given us some insight into the paradox problem. In the quantum theory, we can have multiple states of any object. For example, an electron can exist simultaneously in different orbits (a fact which is responsible for giving us the laws of chemistry.) Similarly, Schrodinger's famous cat can exist simultaneously in two possible states: dead and alive. So by going back in time and altering the past, we merely create a parallel universe. We are changing someone ELSE's past by saving, say, Abraham Lincoln from being assassinated at the Ford Theater, but our Lincoln is still dead. But does this mean that we are able to jump into H.G. Wells' machine, spin the dial, and soar several hundred thousand years into England's future?
No. There are a number of difficult hurdles to overcome. First, the main problem is one of energy. In the same way that a car needs gasoline, a time machine needs to have fabulous amounts of energy. One either has to harness the power of a star, or to find something called "exotic" matter (which falls up, rather than down) or find a source of negative energy. (Physicists once thought that negative energy was impossible. But tiny amounts of negative energy have been experimentally verified for something called the Casimir effect, i.e., the energy created by two parallel plates.) All of these are exceedingly difficult to obtain in large quantities, at least for several more centuries!
Then there is the problem of stability. The Kerr black hole, for example, may be unstable if one falls through it. Similarly, quantum effects may build up and destroy the wormhole before you enter it. Unfortunately, our mathematics is not powerful enough to answer the question of stability because you need a "theory of everything" which combines both quantum forces and gravity. At present, superstring theory is the leading candidate for such a theory (in fact, it is the ONLY candidate; it really has no rivals at all.) But superstring theory, which happens to be my specialty, is still too difficult to solve completely. The theory is well-defined, but no one on earth is smart enough to solve it.
Interestingly enough, Stephen Hawking once opposed the idea of time travel. He even claimed he had "empirical" evidence against it. If time travel existed, he said, then we would have been visited by tourists from the future, ergo: time travel is not possible. Because of the enormous amount of work done by theoretical physicists within the last 5 years or so, Hawking has since changed his mind, and now believes that time travel is possible (although not necessarily practical.) Furthermore, perhaps, we are simply not very interesting to these tourists from the future. Anyone who can harness the power of a star would consider us to be very primitive. Imagine your friends coming across an ant hill. Would they bend down to the ants and give them trinkets, books, medicine, and power? Or would some of your friends have the strange urge to step on a few of them?
In conclusion, don't turn someone away who knocks at your door one day and claims to be your future great-great-great-grandchild. They may be right."
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"Everything you know,...is Wrong!
soon we shall all discover the truth."
p)'i4q4