- Science became really interesting when looking at weather
- Warm coffee just cools; Hot coffee has convection
- Modern scientist have iterated on the past but that assumes everything that came before was true
- “Sensitive dependance on initial conditions”
- Physics and maths divorced in the 30’s but started getting back together in the 60’s
- When studying systems, scientists tended to assume oscillation was around a steady state
- Measuring non-standard shapes requires an infinitely small measuring tool
- Fractals allow for infinite length in a finite space
- “Dimensions” are the number of identifiers needed to identify a single point
- At a distance, a ball of string is a point and so one-dimensional; up close it is a one-dimensional object arranged to occupy three dimensions
- All physical touching is described by fractals
- Turbulence is very poorly understood and may be unknowable
- The Manhattan project was really about turbulence
- Attractors bring stability, even if not predictability
- Poincare return map
- Cross sections of the transit to track movement over time
- In order to be universal, it has to have scale
- Universality was originally rejected from publication
- Flow = shape + change or motion + form
- Control the space so you can manipulate time
- https://en.wikipedia.org/wiki/Mandelbrot_set
- “In biology, randomness is death”
- https://en.wikipedia.org/wiki/Barnsley_fern
- Computer experimentation really let fractals take off
- https://en.m.wikipedia.org/wiki/Lorenz_system
- Random (spread out and undefined) vs chaos (deterministic and patterned)
- Chaos brings a wealth of information (because steady states can have their information compressed)
- A map needs to simplify the things it maps
- Giving mosquitos a photo burst at midnight will destroy their circadian signals
- Mode locking is when things lock into frequencies
- “Is it possible that mathematical pathology, i.e. chaos, is health and that mathematical health, which is the predictability and differentiability of this kind of structure is disease?”
- Snowflake’s non-equilibrium phenomenon
- They have 6 sides based on the stress of surface tension
Leave a Reply
You must be logged in to post a comment.