One of the problems facing us is that our assumptions about our reality have to do with the tools that we have used to analyze our reality. It is based on underlying assumptions that we hardly ever question, much even realize that they are assumptions.

How is this possible? This is because our tools of manipulation have to do with mathematics. This has initially to do with counting. Our first organization of our reality was through counting. We counted, first, simply in whole integers, that is to say whole numbers. Next came the concept of numbers that were a fraction of the whole. This led to addition, subtraction, multiplication and division. This linear sequencing determined how we looked at things. We graduated to geometry and figures, like circles, squares and triangles. Then we moved to analytical geometry, and we could put these figures on a graph. We moved to Cartesian co-ordinates in three dimensions. We, then, saw relationships in multiples as well as squares, cubes and roots. From this we would go to complex numbers as we examined the square root of -1. Throughout this we have had a logical, empiric basis.

This is to say that a number had a static, immutable value. Each number was like this, and because of this, at certain times when a number was ratio of two integers it was impossible to express that number as an integer.   We ended up with recurring decimals and we created irrational numbers. This was complicated by the fact that we used a base ten in counting, based on ten fingers, which was practical for recording sequences. This practicability for recording sequences did not roll over well into physics, where say perhaps a base 12 might have been more forgiving.

This is now an ultimate problem, as we use mathematics to understand physics and the nature of our universe. This numbering system and immutable value for each number does not lend itself well to understand how quantum physics behaves. This, itself may be a fundamental reason why we have such difficulty understanding how quantum mechanics behaves and why chaos (as chaos theory in mathematics) is not predictable, even though it seems to have a pattern.

It is so because any quantum state is not immutable, but affected by all quantum states around. The same applies to chaos a small difference in starting conditions manifests completely differently, almost infinitely on a large scale.

These patterns cannot be properly appreciated in a system of immutable numbers. Look for example at a female. Her behavior is a quantum pattern, in the sense that her next act can be coming from the dimensions of daughter, sister, mother, wife, physicist or physician. Her state would change depending on the mother-father relationship, brother-sister relationship (sequence), mother-daughter relationship (square), wife-husband relationship (multiplication). These might represent relationships that affect her.

We need a mathematical system of numbers where the value is not fixed and immutable but altered by its position in sequence, multiplier, divider, square or square root. This would allow the value of the number to reflect its position, and to be modified accordingly. Such a system is more apt to be able to describe quantum mechanics. This would allow the number to behave in much the way a frequency wavelength behaves.