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I have been looking at the Lagrange equations for spin 0 Klein-Gordon, 1 Proca, and 1/2 Dirac (are there any others?). It seems that from these equations we can find out all of the particles in the universe. But I wonder, how do these equations change if the universe had a different number of dimensions? Say we wanted to know what particles would come about in 2 space 1 time or 4 space 1 time, could we find out from finding Lagrange equations in different dimensions?

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    $\begingroup$ Related post by OP: physics.stackexchange.com/q/634362/2451 $\endgroup$
    – Qmechanic
    May 7 at 10:59
  • $\begingroup$ why do you think the equations should change with dimension (apart from the possible values the indices can take)? $\endgroup$
    – ACuriousMind
    May 7 at 12:43
  • $\begingroup$ Well, I would imagine as the dimension changes so too would the particles. It doesn't seem logical to assume particles form and interact in the same way in a different number of dimensions, $\endgroup$
    – David
    May 7 at 12:50

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