Something I’m unclear about is what’s the difference between multiple particles, and one particle with multiple degrees of freedom?
Sorry, I should clarify that better: What is the nature of the physical and mathematical differences that cause one factorization into, say, 6 factors to “look like” 1 particle free to move in 6 dimensions vs one particle free to move in two dimensions and another particle free to move in three dimensions?
And so on. ie, What makes one sort of factorization look like one, vs a different factorization look like the other?
Something I’m unclear about is what’s the difference between multiple particles, and one particle with multiple degrees of freedom?
Sorry, I should clarify that better: What is the nature of the physical and mathematical differences that cause one factorization into, say, 6 factors to “look like” 1 particle free to move in 6 dimensions vs one particle free to move in two dimensions and another particle free to move in three dimensions?
And so on. ie, What makes one sort of factorization look like one, vs a different factorization look like the other?