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    Quantum field theory's renormalization group demonstrates... — Carmelics
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    Supports→Weyl's geometric theory is in conflict with quantum mechanics in a fundamental way

    Quantum field theory's renormalization group demonstrates that particle masses run with energy scale, but this running is universal and history-independent, contradicting Weyl's path-dependence.

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    Key Terms

    History-independent(as a property of particle behavior)
    Something that doesn't depend on what happened before; the outcome is the same regardless of the path taken to get there.
    Particle masses run with energy scale(as a phenomenon in particle physics)
    The effective weight or mass of a particle appears to change depending on how much energy you're using to observe or interact with it.
    Path-dependence(as used in history, economics, and social theory)
    The idea that historical choices lock you into a particular direction, making it very hard to change course later—like how a railroad track, once laid down, constrains where trains can go.
    Quantum field theory(as used in physics and philosophy of science)
    A modern physics framework that describes how tiny particles and forces work at the smallest scales, combining quantum mechanics (the weird rules of tiny things) with Einstein's relativity.

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    Renormalization group(as a method in quantum field theory)
    A mathematical technique physicists use to understand how the properties of particles change when you zoom in or out to look at them at different scales of size or energy.
    Weyl(as a historical reference in physics)
    Hermann Weyl (1885-1955) was a German mathematician and physicist who identified a mathematical problem about how to connect measurements made in different reference frames in a consistent way.
    universal(Argument for the generality of Turing machines)
    A computing system capable of simulating any other computing system of the same or lesser power; used here to describe Turing machines as the most general model of computation.

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    Causation1 linkedModality & Possibility1 linked

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    Weyl's geometric theory is in conflict with quantum mechanics in a fundamental w...

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