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Showing posts from December, 2018

What is Chaos theory?

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We can illustrate chaos theory in various ways- one way being the idea of two pendulums being connected end to end as this gif from Wikipedia illustrates. If the starting position of the pendulums was slightly different, then we would get an entirely different result. So chaos theory basically is the idea that tiny changes to a system can result in huge changes over time, most popularly illustrated by the idea that a butterfly's wings can cause enough current to completely change the weather on the other side of the world. It is actually pretty accurate- this is why even the most precise computers can't predict the weather for more than a few days as tiny changes can completely change the outcome. However, interestingly, chaos theory isn't necessarily part of quantum mechanics as you might expect- the two can be confused. Chaos theory is a classical theory because it is actually hypothetically possible to predict the outcomes of a system if you could measure precis...

ELI5- Will we ever be able to predict the future?

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In short- no. Quantum Mechanics and one specific aspect called the Uncertainty Principle show that it is impossible. What is the Uncertainty Principle? The Uncertainty Principle was formulated by a German scientist, Werner Heisenberg. To quote the late Stephen Hawking from his book A Brief History of Time, "in order to predict the future position and velocity of a particle, one has to be able to measure its present position and velocity accurately." ie, we have to know exactly  where something is and how fast it is moving, and in which direction, to know what it will do next. So why can't we do this? Well the important thing to remember here is that we are talking about tiny  particles- so small, in fact, that a light wave is enough to change their velocity, or future path. And what is it that we need to determine the position of the particle? Well light of course. The measurement can then be only as accurate as the distance between the crests of the light wave, how...