You have certainly heard about the discovery of the gravitational waves. There is of course the press coverage offering the big picture to a wide audience. Maybe you were curious enough to dig a bit more in the details of the measurement. The natural way is to read the official scientific publication under the form of an article in the Physical Review Letters. Usually four pages long (here a bit more, probably due to the importance of the discovery), rigorously written, based on numerous references, in a very concise but accurate style. Briefly, this is the summum of publication in physics.
But this time, the authors have released their results in another form: a Jupyter notebook. You can find the result here. Do you see the difference? Yes, it is interactive. You can just follow what the authors wrote, but you can also modify the code, do tests, torture the data. Compare both publications and try to see where you understand better. What is interesting is that you do not see only a finite product but also a big part of the process to reach it. It is a big progress on the road to reproducibility and a great instrument to learn a topic (did you notice that you have sounds included in the notebook?).
One step further, imagine that you can comment below each cell, compare your modifications with the ones brought by other persons on their own version of the notebook, you will increase and (if the noise controls are good) improve the level of discussion on each paper. These extensions could be based on an extension of Jupyter Hub, which manages from one single point the access to notebooks for a group of user.
One last step in the future and you imagine that the kernel, instead of being a coding language, is a machine: a raspberry pi, an arduino, a digitizer, the controller of an experiment. Instead of programming code, you program remotely from your notebook. It is a bit far fetched for the moment, but imagine that you can enter your own program of observation for LIGO directly from the notebook. The kernel takes in charge of queuing the requests from all the notebooks, the experimental team prioritizes these requests and you get notified when the results you asked for are available. Science from your bed!
This is the kind of stuff that Jupyter starts to make possible. And don’t be surprised, the futures comes very fast.