Is the Butterfly Effect Consistent with Deterministic Chaos Theory?

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Discussion Overview

The discussion revolves around the Butterfly Effect and its relationship with deterministic chaos theory, exploring its implications in various systems, including planetary orbits and atmospheric phenomena. Participants examine the nature of chaos, predictability, and the influence of small changes in complex systems.

Discussion Character

  • Exploratory
  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • Some participants question the extent of the Butterfly Effect's influence in systems like planetary orbits, suggesting that chaotic outcomes are rare despite numerous small interactions.
  • Others argue that the Butterfly Effect is significant in fluid systems, particularly in atmospheric dynamics, where predictability is limited due to inherent chaos.
  • One participant notes that while orbital mechanics may not exhibit strong chaos, weather systems are often cited as prime examples of chaotic behavior.
  • Several contributions discuss the theoretical implications of the Butterfly Effect, emphasizing that observing changes in a system requires prior simulations and questioning how past conditions influence future outcomes.
  • Lab demonstrations are suggested as a way to illustrate the Butterfly Effect, although applying it to complex systems like Earth's weather is acknowledged as challenging.
  • References to concepts like "spontaneous symmetry breaking" and the Higgs mechanism are introduced, raising questions about their consistency with deterministic chaos theory and the implications of "spontaneous" suggesting acausality.

Areas of Agreement / Disagreement

Participants express a range of views on the applicability and implications of the Butterfly Effect, with no consensus reached on its relationship with deterministic chaos theory or the predictability of complex systems.

Contextual Notes

The discussion highlights limitations in understanding chaos, including the dependence on definitions and the complexity of systems being analyzed. There are unresolved questions regarding the nature of causality in relation to spontaneous events.

Loren Booda
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How much influence does the Butterfly Effect have in our proximity? Even the Sun's planetary orbits, over billions of years, having experienced myriad nonlinear small interactions (here the "butterflies"), have seemingly resulted in very few chaotic catastrophic outcomes (hence "effects").
 
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Butterfly effect comes into play in many fluid systems that involve turbulence. A good example is atmosphere. Even our best supercomputers, fed by high-resolution infrared imaging satellites, can't predict hurricane tracks with any certainty beyond 3-5 days. Atmosphere is inherently chaotic to some degree.
 
Yes, the Butterfly Effect is used to describe chaotic systems. Orbital mechanics is not an area strong in chaos; most of its systems are negatively reinforcing (for example, a planet drifting out of place tends to be nudged back into place.)

Weather is the poster-child for chaos.
 
Well from what i have learned about this, the so called "Butterfly Effect" talks about how a small change in a system can lead to a gigantic or significat change with time. Now to observe a change in a system you would have had to already have run it before. Let's say you have a model of Earth enclosed so that no outside force or thing could effect it. Now let's run the simulation. You will see that if you don't change anything in it, the same thing will always happen. Now let's say you put a fan in it. the fan is not noticably strong in any sense. If the fan has a big enough impact you could end up with an Earth that is completely changed, maybe there would be more huricanes, or less or anything really. So since we can not change the past I don't know how this "effect" can be felt if we haven't changed anything. Now as for knowing the Future, this could work. Once we figure out how to do that
 
FoxCommander said:
Well from what i have learned about this, the so called "Butterfly Effect" talks about how a small change in a system can lead to a gigantic or significat change with time. Now to observe a change in a system you would have had to already have run it before. Let's say you have a model of Earth enclosed so that no outside force or thing could effect it. Now let's run the simulation. You will see that if you don't change anything in it, the same thing will always happen. Now let's say you put a fan in it. the fan is not noticably strong in any sense. If the fan has a big enough impact you could end up with an Earth that is completely changed, maybe there would be more huricanes, or less or anything really. So since we can not change the past I don't know how this "effect" can be felt if we haven't changed anything. Now as for knowing the Future, this could work. Once we figure out how to do that

It can certainly be demonstrated in a lab setting. Try balancing a golfball on top of a beachball a hundred times. Plot which way it rolls off.

It is however, notoriously difficult to apply to something as astoundingly complex as Earths' weather.
 
DaveC426913 said:
It can certainly be demonstrated in a lab setting. Try balancing a golfball on top of a beachball a hundred times. Plot which way it rolls off.

"Spontaneous symmetry breaking", anyone?
 
Archosaur said:
"Spontaneous symmetry breaking", anyone?

Higgs mechanism?
 
Archosaur said:
"Spontaneous symmetry breaking", anyone?

Is this consistent with a deterministic chaos theory? Doesn't "spontaneous" imply acausal?
 

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