reilly
Science Advisor
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Billy T -- Interesting, but not new. The National Bureau of Standards uses an atomic clock to define a second as so many cycles of emitted light- if I recall correctly, the clock is a cesium atom. So, for most of us, time is indeed measured as a series of events, but in princple, two would do. As Einstein pointed out, time is what we measure with clocks.
We chose to call the variable describing the event time. Of course this is physicist's time and not necessarily philosophers time. There soon may be a neuroscience time, based on our brain's ability to have enough memory to be able to track changes -- and, of course, there are our circadian cycles.
Your mathematics. First, it does not prove the nonexistence of time in any mathematical sense. To do so, you would have to find a contradiction in the usual mathematical use of time in physics. With your scheme, I can always map back to normal physicist's time. And, all you have shown is what might be called a general covariance in time coordinates-- exactly what's done in general relativity. You just left out the spatial coordinates. For that matter, what you did for time, can be done for spatial coordinates as well. Put together the coordinates and time, and you have the general covariance part of GR. Einstein is all about events.
You are quite right to stress that events do not happen just because of the passage of time. But this idea goes way, way back. (It is, for example, discussed in two books I coauthored on the subject of urban dynamics, back in the late 70s.) From an Einsteinian perspective, physics is about the relationships among events, a perspective that's been around for over a century.
In your argument about removing time, you obviously must deal with functions that have an inverse, and as far as describing events that's a fairly restrictive constraint. Without even thinking about quantum theory, there are many phenomena that are random in nature. (Just to be clear, these are phenomena that cannot be precisely predicted, coin tosses, radioactive decay, noise in communication channels, business sales, molecular motion in diffusion(Einstein again)and on and on. And, most of the time we can compute the appropriate probabilities with standard techniques of proability, statistical, and stochastic process theories.) The point being, the equations of motion can't always be inverted for specific events.
Another important point, just for completeness. When physicists and mathematicians work with very general coordinate systems and transformations, they work with differential forms -- like transformations of all the covariant and contravarient vectors and tensors of Riemannian geometry. This is not easy stuff.
Finally, re the general covariance issue. It's based on the simple idea that events are independent of how they are described. That is we are free, for example, to use virtually any scheme we want to describe events -- like epicycles of old. But, for the most part, we use physicist's time t for pure convenience -- some times physicists go so far as to use an imaginary number for time.
Time exists? We're certainly programmed by evolution to have an innate sense of time. To the extent that we say tangible things exist, then our neural time-structure, probably exists, and clocks certainly exist.
So, what are the criteria to judge whether time exists?
Regards,
Reilly Atkinson
We chose to call the variable describing the event time. Of course this is physicist's time and not necessarily philosophers time. There soon may be a neuroscience time, based on our brain's ability to have enough memory to be able to track changes -- and, of course, there are our circadian cycles.
Your mathematics. First, it does not prove the nonexistence of time in any mathematical sense. To do so, you would have to find a contradiction in the usual mathematical use of time in physics. With your scheme, I can always map back to normal physicist's time. And, all you have shown is what might be called a general covariance in time coordinates-- exactly what's done in general relativity. You just left out the spatial coordinates. For that matter, what you did for time, can be done for spatial coordinates as well. Put together the coordinates and time, and you have the general covariance part of GR. Einstein is all about events.
You are quite right to stress that events do not happen just because of the passage of time. But this idea goes way, way back. (It is, for example, discussed in two books I coauthored on the subject of urban dynamics, back in the late 70s.) From an Einsteinian perspective, physics is about the relationships among events, a perspective that's been around for over a century.
In your argument about removing time, you obviously must deal with functions that have an inverse, and as far as describing events that's a fairly restrictive constraint. Without even thinking about quantum theory, there are many phenomena that are random in nature. (Just to be clear, these are phenomena that cannot be precisely predicted, coin tosses, radioactive decay, noise in communication channels, business sales, molecular motion in diffusion(Einstein again)and on and on. And, most of the time we can compute the appropriate probabilities with standard techniques of proability, statistical, and stochastic process theories.) The point being, the equations of motion can't always be inverted for specific events.
Another important point, just for completeness. When physicists and mathematicians work with very general coordinate systems and transformations, they work with differential forms -- like transformations of all the covariant and contravarient vectors and tensors of Riemannian geometry. This is not easy stuff.
Finally, re the general covariance issue. It's based on the simple idea that events are independent of how they are described. That is we are free, for example, to use virtually any scheme we want to describe events -- like epicycles of old. But, for the most part, we use physicist's time t for pure convenience -- some times physicists go so far as to use an imaginary number for time.
Time exists? We're certainly programmed by evolution to have an innate sense of time. To the extent that we say tangible things exist, then our neural time-structure, probably exists, and clocks certainly exist.
So, what are the criteria to judge whether time exists?
Regards,
Reilly Atkinson
(+/-)... but what ACTUALLY HAPPENS?... say it with me now, "Energy Transfer"... that's all... light is emitted... it focuses through our eye onto rods and cones (whatever)... an ELECTRICAL SIGNAL is sent to the brain... same thing happens with touch, taste, smell, et cetera... this signal is processed and catalogued...

i don't want to sound rude, but do you get hit by falling objects a lot?... you intuitivly know the future path of many objects... can't one determine the forces acting on an system and determine to a high degree of accuracy future trends?... i know on a micro scale, this is difficult due to the miniscule quantities of energy required for high effect, but that is a problem of detection and quantifying... in the macro, we do this everyday... you drive a car, don't you?... did you check the weather this morning?... aren't there astrologers tracking and predicting the movement of celestial objects?... we used these methods to land an unmanned craft on Mars, right?... (it took us a few tries, true)...