Te spīd saule, pēc 5 minūtēm jau līst, nu jau krīt krusa uz tavas galvas, kuru pavada spējš vējš! Kā tam sagatavoties?
Lai uzzinātu vairāk, šķir nākamo lapu!
Te spīd saule, pēc 5 minūtēm jau līst, nu jau krīt krusa uz tavas galvas, kuru pavada spējš vējš! Kā tam sagatavoties?
Lai uzzinātu vairāk, šķir nākamo lapu!
I am not intending to press these potnis, but they are related to the bigger issues of what one means with *intrinsic quantum mechanical* and *complete theory*, so I add some further (not very deep ..) comments.1. Since group representation theory is applied to so called classical mechanics (CM) too (representations on phase space via symplectic/canonical transformations) it is not clear how group representations as such (even involving spin) distinguish between CM and QM. Unitary transformations contain symplectic transformations, and in this respect QM is (formally) a special form of CM. The relation between state, observable and probability is in this view the distinguishing (interpretative) feature. One reason why this issue may be more than of formal interest is that quantum gravity may require a deeper characterization of what it means to be *quantum*.2. I am aware that one can get approximations from QED that are interpreted e.g. as the Schrf6dinger equation for electron in the H-atom (relativistic case unsettled?), but there may be disputes about exactly what assumptions are made along the road (I know only the broad outlines). Another point is that in order to be *approximations* we should be able to give their error bounds, otherwise the approximations are based on faith. However, and this is the main point, in physics it is common to work with incomplete or even inconsistent theories (such as classical electrodynamics + charges) successfully when we have learned their domain of applicability. In this way physics differs from *pure mathematics* (which immediately reminds one of the Einstein quote: As far as the laws of mathematics refer to reality, they are not certain; and as far as they are certain, they do not refer to reality ). Physics needs not just experiments, but genuine physical insight (such as the principle of equivalence) in order to evolve. To me the book by Woit has brougth up this issue (which is not restricted to string theory): Do mathematical *speculations* replace physical insight? Has the development of theoretical physics reached a stage where [in lack of new experiments/or because of a possible *desert* — of course, one should not forget the exciting findings in astronomy/cosmology, no desert there] the only remaining lead (whatever it is worth) is in mathematical constructs? On this history may teach us some lessons but it does not foretell.
That’s what we’ve all been waiting for! Great posting!
It’s a relief to find someone who can explain things so well
I’ll try to put this to good use immediately.
If time is money you’ve made me a wealthier woman.
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