Weyl's non-integrable length connection entails that mass differences between identically-typed particles accumulate monotonically with divergent trajectories, violating the superposition principle's basis in exact state-space degeneracy.
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The variation in how much matter or 'stuff' different particles contain, measured in weight or energy equivalence.
Monotonically(as used in mathematics)
In one direction only, either always increasing or always decreasing, without reversing or staying the same.
Non-integrable(describing how length changes might behave in theoretical physics)
Unable to be combined, smoothed out, or unified into one consistent whole; the pieces don't fit together neatly.
State-space(as used in philosophy of physics and mathematics)
An abstract mathematical map showing all the possible conditions or 'states' that a system could be in—like a complete list of every possible configuration of a chess game.
Superposition principle(as used in physics and philosophy of science)
A rule in quantum mechanics (the science of how tiny particles behave) saying that a particle can exist in multiple states at the same time until we measure it.
Weyl(as a historical reference in physics)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.