Ask A Genius 169 – Spontaneous Symmetry Breaking (Part 4)
Author(s): Scott Douglas Jacobsen and Rick Rosner
Publication (Outlet/Website): Ask A Genius
Publication Date (yyyy/mm/dd): 2017/05/16
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Scott Douglas Jacobsen: In an infinite universe, if something was calculated over time – in an infinite information processing universe, the digit span could run forever. So the complex digit series and complex numbers…
Rick Rosner: When you say, “Infinite universe,” you’re implying an infinite clockwork universe.
Jacobsen: What about an implied infinite of information based on association within itself? In a standard universe, it has to do with the way things are traditionally represented. Someone gives you a number or a value about the ‘real universe’ in a standard Big Bang cosmology universe.
The digit series is implied to go on forever. So there’s a self-contradiction in the presentation of a standard Big Bang universe, consistently, because there is an assumed infinite amount of information to run that digit series forever.
But in fact, there’s not. But at one point, they will say, the universe began a finite time ago. But when we say a year, or a value, or a law, or a constant…
Rosner: What you’re saying is that in a standard characterization of the Big Bang universe, there are some implied infinities. And that any time you talk about them, you’re, at least numerically, implying something using numbers, which are themselves defined to an infinite extent because you have an infinity of digits beyond the decimal point – which implies infinite precision, which implies infinite information.
Jacobsen: Exactly! it is the big problem that I think is inherent in logic, physics, and mathematics, as standardly presented.
Rosner: I agree that that has the potential…
Jacobsen: …I think provably…
Rosner: …I think it is a danger. However, in quantum mechanics, it is the tool you have to work with incomplete information. People don’t view quantum mechanics that way, but that’s what it is. It is a mathematical tool to work with stuff that is incompletely defined because it is made out of finite amounts of information. Now, there may even be traps and dangers in quantum mechanics.
In that, quantum mechanics is itself built from numbers and relationships. In quantum mechanics, you have matrices made out of numbers, and numbers are infinitely precise. But I think if you’re good about applying quantum mechanics. you can avoid a lot of the problems that you run into, like the singularities.
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