When Galileo pointed his telescope at Jupiter in 1610, he was the first person to see the giant orbs attached to it by Springs. In his actual drawings compared night after night show these bright spots moving back and forth past Jupiter exactly the same as if they were balls hanging off of Springs. I mean, yeah Galileo was looking at the moons of Jupiter, but if you plot their motion back and forth and back and forth over time, it forms a sine wave and that motion is mathematically identical to the motion of something bouncing up and down on Spring with a linear restoring Force also sine waves over time from a side-on perspective that projects two Dimensions down to one things in circular orbits. Look exactly like they’re springing back and forth on giant coils of wire. Now. I’m not saying that we should think of the moons of Jupiter is being held on by giant invisible Springs, but it’s a valid mathematical model when viewing them from a distance. It’ll make the same predictions about the Motions of the moons as the orbiting in circles due to Invisible gravity model and one can be mathematically transformed into Into the other the moons of Jupiter aren’t alone in having multiple, mathematical descriptions projectiles and storms on Earth experience a force called the Coriolis effects that causes them to turn but viewed from an external perspective at the projectiles and storms are what goes in a straight line while the Earth turns beneath them both models. If you use them carefully make correct predictions about reality and Quantum phenomena can be modeled in at least three different ways that all give the same predictions as a particle being Guided by a spread out pilot wave or
As a spread out probability wave that collapses to a single point or as a particle exploring all possible paths. It could take and interfering with itself along the way all three of these mathematical models suggest different ways of thinking about what’s actually going on in Quantum systems and the fact that all three of them give the same experimental predictions suggest that perhaps none of them is the right way to picture what’s happening mathematical models. Give us nice easy to digest pictures of how the universe works moon’s orbit around planets atoms bind together into molecules electrons. Ron’s are clouds of probability and so on but we need to be careful how much weight we give to the models in our heads or on our blackboards or computer screens do Jupiter’s moons move. Like they’re pulled back and forth by the invisible force of Springs or held in orbit by the invisible force of gravity or are they following helical paths, which are actually straight lines in curved space-time the way we describe the world influences the way we think the world is even when there are other equally correct ways of describing the world that painted entirely
Pictures from our own that’s not to say we should accept wrong ideas, but we should be aware that sometimes a different correct picture one. We haven’t considered is the one we need to see.