[I]f you imagine two NOWs... there will be some difference between them, and if you work out some weighted average of all of that difference... you can call that... the amount of time between them. ...[T]his has nothing to do with some substance... It's just difference between those two things. ...[T]his is the quantity that is... being measured by my watch...
British physicist
Julian Barbour (born in 1937) is a British physicist with research interests in quantum gravity and the history of science.
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The concepts of message and probability enable one, for a definite source of <math>N</math> messages, to define Shannon’s information. If <math>p_i,\quad i = 1, 2, ..., N</math>, is the relative probability of message <math>i</math> and <math>\log p_i</math> is its base-2 logarithm, then the information <math>I</math> of the given source is(1) <math>\quad I = - \sum_{k=1}^N p_i \log p_i</math>.The minus sign makes <math>I</math> positive because all probabilities, which are necessarily greater than or equal zero, are less than unity (their sum being<math>\textstyle \sum_{i}^N p_i = 1</math>, so that their logarithms are all negative.
[W]e must distinguish three kinds of information: Shannon’s information, the uncertainty as to which message will be selected from a source; factual information, the content of such a message; and intrinsic semantic information, which distinguishes a random message, or configuration, from one that carries meaning and to some extent explains its... genesis. All... have... underpinning in things.
In fact, I once had a discussion with a distinguished astrophysicist who said to me, well, this is what Mach said, and this is what Mach did and what he required. And I said to him, now excuse me, if you don't mind me saying, what you've just told me is your interpretation of Dennis Sciama's interpretation of Einstein's interpretation of Mach. And he said you're quite right. I’ve never read a word of Mach.
If you could look microscopically... at... my molecules... you would not recognize me from one second to another. In my body, every second, one hundred million million million... hemoglobin molecules... is destroyed, and the same number is created. So... at each split second, I'm really a very different person.
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[I]n 1898... Henri Poincaré wrote... "On the Measure of Time" and he said... there are two fundamental problems to do with time. One... with the definition of duration... What does it mean to say that a second today is the same... [H]e said there's another issue... [not] so widely recognized. ...[H]ow do you define simultaneity at spatially separated points?