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Advanced technology means we can now measure quantum fractals in the lab. In recent research involving a scanning tunneling microscope, electrons are carefully arranged in a fractal pattern, creating a quantum fractal.
Then the wave function of the electrons were measured, which describes their quantum state, they too lived at the fractal dimension dictated by the physical pattern they’d made. In this case, the pattern used on the quantum scale was the Sierpiński triangle , which is a shape that’s somewhere between one-dimensional and two-dimensional.
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It’s easy to see why fractals have been used to explain the complexity of human consciousness. Because they’re infinitely intricate, allowing complexity to emerge from simple repeated patterns, they could be the structures that support the mysterious depths of our minds.
But if this is the ...
Our observations from these experiments reveal that quantum fractals actually behave in a different way to classical ones. Specifically, we found that the spread of light across a fractal is governed by different laws in the quantum case compared to the classical case.
This work could also have profound implications across scientific fields. By investigating quantum transport in our artificially designed fractal structures, we may have taken the first tiny steps towards the unification of physics, mathematics a...
One of the most important open questions in science is how our consciousness is established. In the 1990s, long before winning the 2020 Nobel Prize in Physics for his prediction of black holes, physicist Roger Penrose tea...
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