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So, I will take that to mean you cannot support your claim that photons do not experience anything. Now, back on topic...
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Let me give this a try.
In recent contemplation I have found some interesting reasonings.
Whether or not the scientific communitty decides to continue using an object as a fundamental element to the universe, the questions of where it came from and what that object is made of will never go away.
Even if the universe was made of strings, these strings are not connected to eachother. There isnt baby strings that permiate outwards like photons to show other strings baby strings to show where those strings are. The strings are lone universes. Try to measure a universe where there is nothing but your ability to reason in that enviroment. The string has no reference points to generate measurement.
Assume for a moment that a photon really is a particle. In what way does it have to communicate to others to generate a sense of meaning and measureable behavior? If it is a lone particle connected to nothing then it is its own meaningless un-measureable universe of infinite possibility.
How can you measure it when you need one to measure it to observe what it looks like, and each photon is an invisible thing? You can not attribute anything to its shape, or give it meaning. No model will suffice that has material expectation.
The photon is suggested to reside in an infinite universe. Infinite is that of no value, invisible, zero, uncertain...
If and when photons hit eachother, relative to themselves (a nothing universe) they pass through another nothingness. Two blanks passing through eachother. There is only one thing you can assign to each supposed photon universe, and that is a value or number.
"The fine-structure constant or Sommerfeld fine-structure constant, usually denoted , is the fundamental physical constant characterizing the strength of the electromagnetic interaction. It is a
dimensionless quantity, and thus its numerical value is independent of the system of units used."
There by, any interactions requires at least parity of photons, and the compound formations of measurments created by their behavior that an asigned value gives to them.
Everything observable is a quantized event. A type of reasoning formed by interactions of at least a minimum of two so called fundamental things.
As described something fundamental like a photon does not experience anything because it is not a thing, it only generates behaviors when passing through itself that can be observed by becoming an able observer of those quantum events.