But if quantum mechanics isn’t physics in the usual sense — if it’s not about matter, or energy, or waves, or particles — then what is it about? From my perspective, it’s about information and probabilities and observables, and how they relate to each other.
We can be more specific. Standard particle physics are the algebraic laws of physics written in a momentum, position algebraic substrate.
Information is another algebraic substrate, but purely mathematical. It is the ideal substrate for quantized process that obey 'spherical' conservation, they locally approximate a spherical surface.
Scott is right, the former is likely contained in the set of relations available from the latter. But it is not a great help because engineers need an algebra of position and momentum.
The bridge from an Information View to a Quantum Mechanical view is the construction of grammars that are representation of typical sequences. Look at how the atomic orbitals are sequenced in the periodic table. They can be represented as grammars built from generators. The grammar spreads out the possible outcomes so the message are compact.
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