user01 said:
…photons pass through the slit, one at a time… produces the same interference pattern. Yet this is explained by a "probability function".
Why doesn't this latter experiment simply disprove this wave-like nature of light suggested by Thomas Young in this particular instance?
I don’t follow your logic – or maybe it is better said that you don’t recognize the logic involved in understanding the issues demonstrated here.
First it is true – as Young said there is NO logical explanation for building the pattern with light through Newton’s’ particle version of light, and as experiment demonstrates, there is no basis to deny the wave like nature of light.
However, through advancements in producing and detecting light in experiments there is no doubt the light can be detected one particle and a time, therefore photons are real and light
IS made of particles.
What remains is to explain just how, as has been shown by experiment, can individual particles produce a pattern when passed through a double slit!
There is no logical explanation for it – at least not a “Local Realist” one, which is what you can do by using a "probability function" view or “Non-Local” view. The best of these Non-Local views is QM “Uncertainty” and the formulas or “formalisms”.
Thus the continuing debate that was immediately sparked from the use of QM, is it logical and correct to abandon a “Local” view of reality? Although Einstein never did, based on experiments it is accepted by most, that yes it is logical to view reality as Non-Local.
Plus there is also an additional continuing debate as to what is the “BEST” non-local view or theory to explain things like double slits, entanglement, and other non-local observations that cannot be explained in the old classical terms. There are many that claim to be better, BM, MWI, versions of GR, quantum gravity versions, strings, "M", etc.
Currently if you define “best” as most productive and predictive in the advancement of actually applying science it really has to go to QM, based on almost a century of success. However many of the opposing ideas claim that this is only because QM was first, and the best theory is the correct theory. From this view what is missing is the experiment to provide the logical evidence to show that one ‘non-local’ theory can predict and produce correct results that others cannot. Till that happens it will remain what it is, a debate.
So is the duality of particle and wave completely understood and explained? Of course not, if it were there wouldn’t be a debate going on as to what theory best explains it.