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1856NT t1_isdtxce wrote

Reply to comment by almightyJack in How are quantized vectors vectors? by [deleted]

Angular momentum for example is quantized, yes it might not be physically meaningful to multiply 1/2 and nh/2pi but mathematically it doesn’t satisfy the axiom which clearly states that the scalar is a real number not an integer

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digitalsilicon t1_isdyzer wrote

Integers are real numbers.

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1856NT t1_iseb730 wrote

Yes, but not all real numbers are integers.

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digitalsilicon t1_isfh3gt wrote

> multiply 1/2 and nh/2pi but mathematically it doesn’t satisfy the axiom which clearly states that the scalar is a real number not an integer

If you multiply a vector by an integer, that is still multiplication by a real number. It doesn’t matter than not all real numbers are integers.

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