Independent things add. Same objects and properties can add. Summing or subtracting two same-type quantities results in values with same unit. Integration involves summation. Summations make extensive quantities.
Interacting objects and properties multiply. Same or different objects and properties can multiply. Multiplying or dividing two quantities results in values with different unit. Differentiation involves division. Divisions make intensive quantities.
Two masses or two charges interact to make gravitational or electric force. Multiplying same units can make intensive quantities: (4 kg) * (6 kg) / (2 meters)^2 = 6 N of force. Multiplying 4 newtons of force and 5 meters of distance makes 20 newton-meters, 20 joules of energy. Multiplying different units can make extensive quantities. Multiplying 4 coulombs and 5 kilograms makes 20 coulomb-kilograms. However, combining charge and mass has no physical meaning, because charge and mass do not interact. Multiplying can make extensive or intensive quantities.
Only continuous quantities can interact. Discrete quantities cannot affect each other. For example, 4 oranges times 5 bananas results in 20 banana-oranges, which do not exist. Multiplying 4 oranges and 5 oranges results in 20 orange-oranges, which do not exist.
New things arise from physical or mathematical interactions. Perhaps, sense qualities arise from physical or mathematical interaction mechanisms {interaction and sensations}. Neurons use no units.
Consciousness>Consciousness>Speculations>Sensation>Physics>Interaction
1-Consciousness-Speculations-Sensation-Physics-Interaction
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Date Modified: 2022.0224