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What I mean is, that in so far as a model which describes the universe in mathematical formula is based on known values
And yet science need mathematics to explain.
Mathematics does not explain anything but it can model some things. Some aspects of the world.
Mathematics tells us how gravity behaves. It does not explain it. Math provides no explanation of how mass does what it does to spacetime.
I observe water going down the plughole of my bath. Bath salts and dead skin whirl with the water, as it escapes down the plughole. Gravity, acting on the water, drags it down the hole, and the whirling vortex around it pulls the particulates into a familiar shape. It looks like a spiral arm galaxy.
Mathematics cannot imagine such a thing
You said to phage that particle physics follows the mathematics... that is not strictly accurate
Not strictly accurate? How are they able to predict?
Again, mathematics describes observed realities. It does not provide the framework, but is informed by it.