The Arrow of Time
by Roel Snieder, WM Keck Distinguished Professor of Basic Exploration
Science
Department of Geophysics, Colorado School of Mines
ABSTRACT
It is great irony of science that the most fundamental concepts are
often most dificult to understand. The concept "time" is an important example
of this. The laws that describe the basic forces in nature are symmetric
for time reversal. This means that they do not change when one changes
the direction of time by replacing the time t by -t. However, this clearly
contradicts our experience; we perceive a direction of time. This direction
is called the "arrow of time." Different arrows of time can be distinguished:
the thermodynamic arrow of time, the biological arrow of time, the radiative
arrow of time, the mechanical arrow of time and the cosmological arrow
of time. The relation with natural laws that are not invariant for time
reversal is discussed and some pitfalls are shown in "deriving" equations
with a direction of time from the fundamental laws of physics. The symmetry
of time reversal has important applications in geophysics, examples are
shown of this. The final question remains: "what explains the arrow of
time that seems to pervade our daily experience?"
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