On Wed, Dec 17, 2014 at 1:27 PM, Abram Demski via AGI <[email protected]> wrote:
> My current understanding of time is "the direction of computation".

That is actually quite precise. The entropy of a computer can only
decrease. In a state transition diagram, states can merge but not
fork. Operations like writing a bit of memory cannot be reversed
because the previous bit was erased.

Of course, decreasing entropy would violate thermodynamics unless it
increased elsewhere. That is why computation requires energy. To be
precise, writing a bit of memory requires kT ln 2 joules where k is
Boltzmann's constant and T is the temperature.

Quantum computing is time reversible. The energy consumption can be
arbitrarily low, but your algorithm has to be able to run backward.

In both quantum mechanics and general relativity, the observer plays a
central role. We can be precise by what we mean by an observer. It is
anything with memory. An observation consists of writing into it. It
explains why in physics there are some things we cannot observe. For
example, we cannot observe the wave nature of matter and energy. We
can only observe particles, which give us uncertain information about
the wave. To do otherwise would violate thermodynamics. You cannot
reduce uncertainty (entropy) through observation or learning without
increasing uncertainty (heat) somewhere else.

-- 
-- Matt Mahoney, [email protected]


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