THE CROCHET STARTING CHAIN and GAP MATHS

0 can mean nothing, void, zero, a gap, empty space. Yet 0 is not nothing. It is something. In fact it is 99.9% of everything. 0 is pretty much the same as infinity. To understand the difference between conventional maths and quantum maths as I understand it, you need to grasp that Nothing is pretty much the same as Infinity.

THE STARTING CHAIN

The starting chain is a chain of interlinked gaps highlighted to us by string. We tend to see the string as the main thing, but I believe that that is the very reason why conventional mathematics does not agree with quantum mathematics. The GAPS are the main thing, NOT the string! Try to see that way.

I am not a mathematician, but I have met and spent many hours talking and walking with a quantum mathematician and astrophysicist, who confirmed my findings, and were amazed that I understood the things I did all from crocheting Möbius twists.

THE HOOK

Crochet hooks come in different sizes, typically 1mm, up to 8mm. I recommend a 5mm hook. The 5mm hook is called a 5mm hook because it makes gaps of 5mm.

THE LINE

I recommend you use two- or three-ply string or yarn.

BEGIN A CHAIN

THE KNOTTED LOOP, AKA THE FIXED GAP

You begin a Starting Chain by knotting a loop onto the crochet hook, called THE FIXED GAP (because there is a Knot keeping it forever as a 5mm loop), and then by performing a CHAIN STITCH. In this instance it is called Chain One.

CHAIN ONE HOOK, LINE AND SINKER

You perform any chain stitch by hooking one new gap through the gap-on-the-hook. That is it. The gap-on-the-hook is in this unique instance, the Fixed Gap. The gap-on-the-hook then goes off the hook and into the air. You now have one New Gap-on-the-Hook and Chain One is complete. Chain one is lying in the air with the knot at its base. Chain one is lying beside the hook and connected to the hook by the new gap-on-the-hook.

SURPRISE!!!

Surprise! That Chain One has created three gaps. Three working gaps of 5mm. Three gaps that you can go through with your hook. I will even say that those three gaps are begging you to go through each and every one of them, with a persuasive force akin to gravity. Hook, Line and Sinker.

GAP MATHS

1=3

Proof: Chain One created three 5mm gaps, plus the 5mm gap-on-the-hook. Each chain stitch is one gap of 5mm through one gap (on-the-hook) of 5mm but makes three more new 5mm gaps, plus (a new) 5mm gap-on-the-hook.

More precisely, once you have a Fixed Gap to start and carry on, thence forward, 1=3.

Before I had even heard of quantum anything, let alone quantum mathematics, I discovered 1=3 and had to make up my own terminology for this unconventional maths. I called it "Numbers with their hat on", because I wrote it down as a numeral with a triangle on top of it. Starting with 0-with-a-hat-on, it signified that one gap made three gaps. I was writing it in order to keep track of and record the patterns/formulas for the various Möbius twists I was crocheting. Perhaps you can see why that in those early days I actually saw it as 0=3. I still do see it as 0=3. Perhaps it is more accurately written as 1+0=3+1? Or, subtly quite different, 0+1=3+1? If 0 means a gap and 1 is the gap on the hook. But since those gaps are the same size, 0 can just signify a gap, and you would write it as 0+0=3+0. "Now I have something to go through": Is adding really what we are doing here? A gap through a gap--are we not dividing? And yet the gaps are multiplying. Does Gap maths need a whole new concept and symbol? It was what led me directly to seeing and using three-sides of the chain, rather than the conventional one-side of the chain. In other words, it encouraged me to use every gap possible in the starting chain in an equitable and ordered manner, including it as part of the single edge of a Möbius Ring. I saw the gaps of a chain as being three distinct tracks, two tracks of gaps at the sides, and one track of gaps at the back of the chain.

Above, three sides of the Chain, Row 0

Three sides of the chain mobius twist row 3 complete

Below, Three sides of the chain Row 2. Row 1 is purple.

QUANTUM SYMMETRY

My journeys crocheting Mobius twists soon led me to develop a philosophy on what manner to go about beginning them. I was introduced to the idea of symmetry in 4D, 5D. I knew my twists were more than 3D, and I also knew they were symmetrical, because each gap of the chain and its subset gaps were added onto equitably. It follows that my twists' strange beauty had a lot to do with their being symmetrical in a quantum realm manner and that they give us a visual of the extra dimensions. They have integrity.

THE EGG

In Cook-Möbius Crochet the starting Chain plus its Turn(s) plus Row 0 of Stitch is of paramount and fundamental importance. Together they are the egg, the recipe, the genetics, the god of each Body-of-Work.

THE KNOT, ANOTHER EGG

In Cook-Möbius Crochet you Knot a loop, a gap, a thing of nothing onto a crochet hook. That knot is made by using a Möbius Twist, it also has lots of gaps but they are too small to go through; they are not Working Gaps on this level. Working Gaps can pull more stuff in, they can grow. The Knot marks the End/Beginning of one level and the next, a boundary that demarcates which size of work can happen. I imagine that size is different but the kind of work that happens is pretty much the same across the board. (As Above, So Below). At the atomic level, I imagine electrons zipping around through gaps, doing whatever it is that atoms do. I imagine that their travel and bodies-of-work look very much like my crocheted bodies-of-work. I also imagine that on the Astronomic level, the waves, gas, dust and gaps in the Void also turn and grow in a similar fashion, and that the Galaxies that make up our Universe also travel and grow in a similar fashion. Perhaps a Black Hole is an Egg without a Knot, where all sizes of work can and do happen at once. Or perhaps no work can happen.

Knotted Loop on-the-hook, aka The Fixed Gap on-the-hook