There's physics and there's physics. Apparently there are many folks, primarily but not entirely non-physicists, who do not understand the basic purpose of physics. That purpose is to develop as good a description of Nature as possible. As we have found over the centuries, a good description allows us to build bridges and airplanes, computers, refrigerators; allows us to know where to point the rocket to get to the moon.
Why things are as they are is generally beyond our comprehension, but gives the philosophically oriented plenty of room for endless speculation.
As ZapperZ points out classical physics has as many mysteries as quantum physics. For example: why do Newton's or Maxwell's theories work so well -- in their appropriate domain. Why mass; what is electric charge; why does it come in two or three sizes; is Mach correct? Why is energy conserved? -- or, why do the basic equations of physics respect time invariance, rotational and spatial invariance?
The Nobelist Eugene Wigner put it best: why does physics work at all? (This is a slight paraphrase)Nobody has a clue. An attendant thought: why does the physics of today work tomorrow? (As we "know" from past experience.)
In my opinion, it is a huge error to suppose that physics proclaims that something exists only when observed.(A more correct notion is when we observe, we learn. That is observations change the state of our knowledge. Modern neuroscience confirms this notion.) I would say that most of us Quantum Mechanics do not agree with that notion. In fact, most of us assume that there is an objective reality -- the key word is assume. Occam and all that. It's a very convenient assumption, and probably a necessary one.
For many physicists, spin is associated with representations of the
Lorentz Group/Poincare Algebra. That is, spin and relativity are closely associated.(This is discussed in great detail in Weinberg's Quantum Theory of Fields - Vol. 1) Spin, like mass and charge, is a fundamental property of elementary particles; no more, no less a mystery than it's companions, mass and charge. And, in Weinberg's language, photons are described as spin 1, massless particles. Turns out that this description works very well for the physics of photons. Today, we speak of photons as particles in as much as we can use a particle description for photons in many circumstances; certainly true for particle physics. So, it is convenient to think of a photon as a particle in many circumstances. Does that mean a photon is a particle?
Who knows? In the meantime, we'll continue to use the idea of photons -- until the idea fails.
Regards,
Reilly Atkinson