I think the best starting point is Flieger's Splintered Light. the Light begins as a single pure source of life & holiness - the Secret Fire. It appears first in Arda in the Lamps which Melkor breaks. Its next appearance is in the Trees, but there it is not the pure, single, unwavering light of the Lamps, it is now twofold, Gold & Silver & more imporatantly it fluctuates. When the Trees are killed, it survives in threefold form, in the Silmarils, & in the Sun & Moon. So, as Flieger points out, we have an increasing fragmentation, a splintering, of the Light.
Language comes into the equation also - the High Elves, the Calaquendi (lit Cal = Light & Quendi = speakers) speak the langauge of Light, while the Moriquendi speak the language of the Darkness. On the Noldor's return to Middle earth Thingol forbids the use of Quenya & demands that the exiles speak Sindarin. So, the splintering & subsequent lessening of the Light brings about a kind of linguistic devolution. There's a movement from the pure Light towards the darkness due to this fragmentation, & an equal linguistic movement from Quenya to the Black Speech, a language in which all 'light' & beauty is absent.
I think the Breaking of the White Light is to be understood in theological rather than scientific terms.
My own feeling is that the argument between Gandalf & Saruman is the argument between theology & science. Saruman is a 'scientist' & thinks of light as a physical phenomenon, a thing which can be broken up into its constituent elements, while Gandalf is a 'theologian' & thinks of Light not as photons but as the physical manifestation of the Secret Fire, the Holy Spirit of Eru. In other words Gandalf has retained his 'spiritual vision' - he remembers the Music - while Saruman has become lost in a materialistic worldview. In short, there is light & there is Light. Saruman's breaking of the white light is wrong in Gandalf's eyes because Saruman is following the path of Melkor, & exacerbating the shattering of Arda which Melkor began.
Everything is becoming 'dark'. Its interesting that Gandalf claims to be a servant of the Secret Fire, while Saruman is clearly attempting to become its master. He is attempting to manipulate it to serve his own ends. Gandalf is attempting to get Saruman to understand his 'sin', because Saruman (he hopes, I suppose) doesn't actually understand what he is really doing. The Light is Holy in Middle earth, because it is the Light of God. IF we could run the story of Middle earth backwards we'd see a movement towards greater & greater Light, culminating ultimately in Eru Himself. What we actually see is a movement away from the Light, through increasing fragmentation, towards darkness - not simply an absence of Light, but its opposite, its negation, symbolised in creatures like the Nazgul - & set forth in the confrontation between them, nine fragments of 'nothingness' & the Light symbolised by Glorfindel who drives them back with a combination of the Light of Aman in his face & the Light's physical manifestation - fire. There is no symbolic difference between mundane fire & the Secret Fire in this sense - & that's why the Nazgul fear fire - in Middle earth the most mundane things can be 'holy' or unholy - & this is what Saruman has either forgotten or is denying.
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