Anyhow, when we look at what happens when we approach 0/0 an interesting thing occurs. If we start with one as the numerator, and keep reducing the numerator towards zero, our number gets closer and closer to 0. On the flip side, when we keep reducing the denominator our result will tend towards the infinite. If you reduce both equally you get something like:
1/1 = 1
0.1/0.1 = 1
0.01/0.01 = 1
0.000....1 / 0.000...1 = 1 — Count Timothy von Icarus
I've noticed this pattern as well. To truly comprehend its significance, we should probably first determine what the denominator and numerator represent. Do both numbers refer to space, energy, or something else entirely? Does the denominator signify space while the numerator represents energy, or is it the other way around? What is the underlying logic behind these ratios? What emergent qualities do they manifest? What are your thoughts in this regard?
In my view, the universe operates fundamentally on binary or 'balanced ternary' value representations. Any mathematical framework claiming to represent quantum-level phenomena must conform to these binary representations. Furthermore, i believe that mathematical operators such as addition, subtraction, multiplication, and division are contingent and emergent upon logic (Logos).
From an initial state of 0, what force can possibly alter the 0 quantum state to a non-zero state, and which non-zero state can it assume? Can it take on any arbitrary value, or is it constrained to a single or a set of values? Which ones and why? I can for example add 1, but whence does that 1 originate? I can subtract 1, but what does 1 signify, and how did i conceive the idea of "1" if the universe initially contained only 0?
My evolving answer to this conundrum is the quantum bitwise unitary logical operator NOT (perhaps call it "QNOT"). I have found that NOT is the sole operation in all of mathematics and logic that can produce a truth value from a null state, and this truth value is represented by us as the absolute number value 1. However, the universe represents it as, for instance, a positron (+1) along with an electron (-1).
From the primordial perspective, if 0 represents 'emptiness', then 1 is 'fullness' (its opposite). The quality of fullness encompasses the entire infinite abstract or latent space of 0 as a singular entity, a "self-singularity". This is probably where the idea of "The One", "the One God", or "The All" originates from; not the first quality in the universe, but the first quality to emerge. It is the result of the first fundamental self-interaction between NOT and 0 in the point field.
A (maybe too simplistic) way to think of this might be "the amount of nothing is no space." No nothing is something, but it's a sheer nothing that, occupying no space, can't vary along any dimension, making it contentless. — Count Timothy von Icarus
The word "contentless" is interesting because it makes me think of "content" in the sense of when someone is "content" or "not content". A person who is content has no urge or need to do anything, but if one is not content, then an urge arises to take some form of action. The prime mover performing the prime movement?
The fact that -1+1=0 and 0=-1+1 reveals to me that zero possesses an internal structure. There is a binary aspect to 0 or "nothing", and this binary aspect is tied in to the binary quality of opposition and complementarity. Just as 0 = (-1, +1), the logical operator NOT can be expressed as a binary pair (AND, OR). AND is associated with addition (+), while OR is associated with subtraction (-).
0 = (-1 AND +1)
NOT = (-1 OR +1) --> (if 0 then -1 AND +1)
Interestingly, the 3 fundamental values (0, -1, +1) and the 3 fundamental logical operators (NOT, AND, OR) resemble a kind of trinity. This is possibly the origin of the triune concept found in certain religious and philosophical traditions, such as the concept of the Holy Trinity in Christianity.
The stuff about the Riemann sphere reminds me of the qubit or the bloch sphere. Worth looking into. Thanks, i might ask you more about it later. You've provided me with a lot of good information, and it'll probably take me a little time to mentally digest it.
Thanks again.
:up: