Infinite sum

[AntonioLao]

Leibniz (1646-1716) a German mathematician invented a new branch of mathematics now known as the integral calculus. For it to work, he had to introduce a concept called infinitesimal. However, Newton (1642-1727) English physicist and mathematician had already invented the differential as the denominator of a fluxion now called a derivative. The differential is equivalent to the infinitesimal. It became differential calculus. Both terms connote a logical truth that no matter how small a quantity is chosen there exists an e, that is smaller, but e is always greater than zero. On the other hand, the infinite sum of the product of a finite quantity and e approaches but is always less than infinity. These were later rigorously analyzed by Cauchy’s theory of limits (1789-1857), a French mathematician who was also a pioneer in the theory of functions of a complex variable. Both Leibniz and Newton fought for priority and for a time became intellectual enemies.

Nonetheless, calculus is the study of motion of numbers. Rational numbers describe start-and-stop motions while irrational numbers describe continuous uniform motion. Together, they describe local infinitesimal motion of spacetime as the infinite sum of squares of energy, otherwise known as the zero-point energies of the quantum vacuum.

[mkirkpatrick]

So many points of maths,the infinite sum total of calculus could well be C=consciouness,
=M matter and is the infinite sum total of ALL.





regards michael.

[AntonioLao]

Matter when derived from Einstein's E=mc^2 become first power of energy and then E^2 becomes infinitesimal zero-point energy of quantum spacetime.

[mkirkpatrick]

Matter when derived from Einstein's E=mc^2 become first power of energy and then E^2 becomes infinitesimal zero-point energy of quantum spacetime.

How then do you square the idea behind first power energy?



regards michael

[AntonioLao]

multiply by itself, for example 2x2=4 and 4 is the square of 2 but 1x1=1 so the square of 1 is the same 1 and 1 never grows to 2 or 3 or 4 or ...Incidentally, the number 1 is excluded from a Diophantine sieve needed to prove Goldbach conjecture.

[mkirkpatrick]

multiply by itself, for example 2x2=4 and 4 is the square of 2 but 1x1=1 so the square of 1 is the same 1 and 1 never grows to 2 or 3 or 4 or ...Incidentally, the number 1 is excluded from a Diophantine sieve needed to prove Goldbach conjecture.

Behind that ONE then lies a powerful clue!




regards michael.

[AntonioLao]

1 can only grows by adding itself infinite times as an infinite sum: 1+1+1+1+1+1+1+... all the way to infinity. But 1 as a unit is really a quantum of something which might as well be spacetime quantum of zero point energy by definition.

[mkirkpatrick]

1 can only grows by adding itself infinite times as an infinite sum: 1+1+1+1+1+1+1+... all the way to infinity. But 1 as a unit is really a quantum of something which might as well be spacetime quantum of zero point energy by definition.

The 1 then could be seen as an expression of creativity,and the 0 as a withdrawing
from view?




regards michael.

[AntonioLao]

In my book of mathematical oddities 0 is the average or mean value of infinity.

[mkirkpatrick]

In my book of mathematical oddities 0 is the average or mean value of infinity.

That makes perfect sense to me.




regards michael.