Reading The
Fractalist, Memoir of a Scientific Maverick, Benoit
Mandelbrot’s autobiography, he was continually looking for the
possibility of a Kepler Moment. If I had a science teacher who
understood and communicated the concept, I probably would have ended
up as more of a researcher.
Mandelbrot’s
lifetime search for the Kepler Moment is the game of creative
science.
When Copernicus
developed the heliocentric model of the solar system, he posited that
planet orbits were circular. As observational data improved, much of
it didn’t fit circular orbits.
A century and a
half later, Johannes Kepler realized that the oval shape of observed
orbits were caused by two or more gravitational centers flattening a
round orbit to more of an oval. That was the first Kepler Moment,
assuring his scientific fame and opening new areas of research.
Another aspect of
the Kepler Moment was how taking knowledge from one field of study
(geometry) could overcome a block in another field of study
(astronomy).
From an early age,
Mandelbrot was looking for his Kepler Moments, storing knowledge from
a variety of disciplines. His search to knowledge led him away from
traditional fields of study and safe, tenured positions to seek the
cutting edge of scientific inquiry.
Mandelbrot was
never insulated from the world. His parents had to start over six
times before he got to college, and his high school was spent dodging
Vichy government in WWII France. With postdoctoral study at CalTech,
Geneva, Paris, MIT, and the Institute for Advanced Study (Princeton),
he got up close and personal with many of the leading scientists of
post WWII, and saw their Kepler Moments.
He thought he was a
slow starter taking years in the pursuit of knowledge to build his
foundational base, but by the end of his career he had created over a
dozen Kepler Moments, in a wide variety of fields, and invented the
successor to calculus, the study of fractals.
Calculus is the
measurement of infinite points in a line, fractals is the study of
roughness of surfaces.
By the end of his
career, he had bound together many fields of study, creating a string
of Kepler Moments. That’s a career plan for a scientist.
Junior
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When teaching adult college students I saw first-hand a similar effect - students had a varying experiences but were studying outside their knowledge area. When a student 'got it' the light would go on and the smile would appear simultaneously.
ReplyDeleteExperiencing this is a most rewarding experience for the teacher as well.
Great post