- Description: For centuries, scientists have attempted to identify and document
analytical laws that underlie physical phenomena in nature. Despite
the prevalence of computing power, finding natural laws and their
corresponding equations has resisted automation. A key challenge to
finding analytic relationships automatically is defining
algorithmically what makes a correlation in observed data important
and insightful. We have developed a technique for extracting the
laws of nature from experimental data by identifying invariant and
conservation equations. We demonstrate this approach by
automatically searching motion-tracking data captured from various
physical systems, ranging from simple harmonic oscillators to
chaotic double-pendula. Without any prior knowledge about physics,
kinematics or geometry, the algorithm discovered Hamiltonians,
Lagrangians, and other laws of geometric and momentum conservation.
The discovery rate accelerated as laws found for simpler systems
were used to bootstrap explanations for more complex systems,
gradually uncovering the alphabet used to describe those systems.
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