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Math shows only 2 things in reality. Math is really basically simple. We use it all the time. I wonder if the very fundamental idea that math works to help us define observations also describe our reality.
Math consists of 2 types of consideration - discrete (counting) and continuous (geometry).
The number system was created to count things. One thing plus one thing is 2 things, etc. When we talk of a thing in our scale (0.1 mm to 1000 km), we can say the thing is at that point or not. We could cahnge3 scale and still talk of integer things. For instance, 0.1 (mm) could be 100 (micrometers). Hence, a thing has a boundary.
Geometry talks of extended objects. A point can exist in the extended object. Descartes considered the continuous as infinitely divisible. Division presents a quandary in both maths. We can take 1 ft. and multiply by 3 and make a yard. But we cannot always take a thing and make 1/3 of the thing by a scale change. Where on a line is the point of 1/3? There is no such point. Is 1/3 real or is division an improper operation in physics?
Perhaps this discrete and continuous categorization of math is actually describing the reality of physics.
Consider Newton's idea for light. Light is a particle (discrete corpuscle) traveling and making waves in Descartes medium (called a continuous plenum). The particle causes waves in the plenum. The waves travel faster than the particle that then direct the particle. (Sounds like general relativity - matter distorts space which then influences mass motion.) Quantum entanglement is the result of the wave action on particles. If the frequency of the wave is related to the particle, resonance produces the entanglement.
If the reality were different, perhaps we'd be using a different math.