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Do particles with exactly zero energy exist?The strong force gets stronger the smaller the energy, is more attractive.zero mass glue glue would glue to each other with numerous bound states approaching zero energy and I do not know what would happen at the exact zero. these glue balls have not been seen except with jets at high energies.

Jul14

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Do particles with exactly zero energy exist?No, the Hilbert space is a mathematical space extremely useful for describing nature. It does not define nature. If a theory based on this hilber space included that, i.e. the lagrangian whose solutions give the standard model, it would be a falsified theory because the data falsifies it.

Jul14

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Do particles with exactly zero energy exist?In the SM mathematics a zero mass zero energy gluon is a singularity and on the lines of Lubos' answer linked above in a comment, it would have been observed if it existed !!!.

Jul14

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Do particles with exactly zero energy exist?My comment means that data trumps theory (physics), philosophy expects theory to form the data. As I tried to show in my example with the expansion in a series fitting an object, the mathematics does not form the object , it just fits it as a tool to be able to enter it in a computer, for example, or another calculation. Those series components are virtual, they have no physics status.

Do particles with exactly zero energy exist?Those are mathematical constructs, virtual, very useful in calculating measurable cross sections etc. but not physical/measurable. They are a necessary part of a mathematical model . Take a complete set of functions and fit a three dimensional shape to high accuracy, a real ball as an example. Does it mean that the ball is built up by the fourier( or what not) components that go to infinity?

Do black holes violate the Uncertainty Principle?The uncertainty principle will make singularities irrelevant as a mathematical point, but macroscopically it will fit the general relativity mathematics of a singularity, that is when gravity is consistently quantized within a larger framework. At the moment quantization of gravity is an effective theory for specific situations/ boundary-conditions