Archives for the month of: April, 2016

mathematics and physics both develop from the same fundamental principles

the complexities of each are emergent properties of the application of these fundamental principles to their respective entities/units of existence, real or imagined

mathematics can produce concepts and objects which are impossible in physics, but this  doesn’t disprove the existence of formal connections between the two fields, or the significance of those connections

the fact that it’s possible to creatively develop mathematical concepts which are impossible in physics, shows only that human creativity in mathematics isn’t subject to the same natural constraints as the laws of physical reality

those natural constraints on how a complex physical universe can emerge from first principles may not have been discovered mathematically yet, but they inevitably exist

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if you place an object (a) with an identical object (a), together they form a group (a+a)

the ratio of the quantity of a in (a) to the quantity of a in (a+a) is
a:a+a

the ratio of the mass of (a) to the mass of (a+a) is
a:a+a

the physical ratio
a:a+a
is precisely identical to the numerical ratio
1:1+1

the physical ratio
a:a+a
is precisely identical to the numerical ratio
1:2

so
a:a+a = 1:2

human number theory and natural physical laws are based on precisely identical principles