zero dimension of reals

[AntonioLao]

The smallest set of real numbers is known as the natural numbers or exclusively the set of positive integers excluding the whole number zero. This set contains all the prime numbers between 1 and infinity. Within the context of this discussion, it can be defined that the dimension of all primes is one. For the number 4, its prime factors are 2 and 2 therefore two dimensional. For the number 8, its prime factors are 2, 2, and 2 therefore three dimensional. Therefore, the dimensionality is measured by the number of prime factors. For the number 6, its prime factors are 2 and 3. Since the cardinality and ordinality of 2 and 3 are different, the two dimensionality of the number 6 is not symmetrical. Therefore, symmetry of numbers is determined by having the same prime factors and the degree of symmetry is determined by how much of the same prime factors each number could have. The next perfect symmetrical number is 16, its prime factors are 2, 2, 2, and 2 therefore four dimensional. In general, the smallest base of dimensionally symmetrical numbers would then by definition the base two of all binary systems. This is by no coincidence also used by all digital computers. Furthermore, it can be supposed that the numerical representations of spacetime points are effectively binary primes of real numbers but instead of 0’s and 1’s, the representations are 1’s and -1’s. Both have a combined singular dimension of zero.

[mkirkpatrick]

Are you saying then Antonio,that the universal sequence of say pulses,is 1+1 and not
the usual binary sets of 1+0,or on and off?


regards michael.

[theunify]

in other words he is saying that -1, +1 are non dimensional and therefore it cannot be implied from a logical standpoint that they differ from 1. Unless we can come up with prime sets of -1, a challenging irrationally workable solution. Also when he states they have a combined zero-dimenional grace, this is also a prelude to the fact that zero dimensional space contains all prime numbers hinting at the fact that infinity is prime.

[AntonioLao]

that the universal sequence of say pulses,is 1+1 and not the usual binary sets of 1+0,or on and off?

The additional implication is that Hadamard groups only add up to zero while their products increase the dimension of the groups.