Infinity and The Singularity- Limits to Our Conceptualisation?

Regular readers will know that I have a theory on how the universe works in physical terms, parts of which have been the subject of posts here.

I'm not going to beat about the bush- parts of this post will get quite abstract, parts very theoretical, and parts will seem quite wild in the assertions I put forward.
However, I hope those of you who follow what I am saying see the logic of the proposition and all it's bizarre implications.

The problem relates to flaws in our understanding of the universe itself.

A while back, I came to the conclusion that the expansion of the universe could be explained in simple terms; it is the first and simplest way to acheive the ultimate aim of the universe, it's own demise.
By expanding, it creates space, it stretches out the gaps between the crest of waves, ultimately reducing all energy to zero point. Red Shift is the primordial dynamic of the universe in action- thinning out the energy.

In other words, at the start, the space is Zero, at the end the energy is Zero.

But here comes the problem. At the start, all the energy proceeds from the same place.
The same mathematical point- a singularity, a point in spacetime where all the laws of physics (except those of thermodynamics) break down.
Or do they?

You see, conventional physics has no option but to ascribe the wave function at this singularity an infinite value.
By implication, therefore, heat death can never come, it would take infinite time to reach heat death.

This cannot be true.

Here is the crux of the problem- in a finite universe, no real calculation can ever yield the result 'infinity'.

The problem is deeper than we realise.
Firstly, it cannot be true that the laws of physics 'break down' at a singularity.
It cannot be true that the universe will go on forever.

It is our laws of mathematics which have not accounted for a necessary limitation, which makes them incapable of explaining a number that has not been acknowledged.

Because mathematics tells us that there is only one number you can divide one by and reach zero.
That number is infinity.
Problem. Big Problem.

Because the universe shows us that there must be a REAL quantity, a REAL number, which IS the last of all numbers, beyond which, in our universe there ARE no more numbers.
Otherwise the laws of physics could not work. There are only a finite amount of quantities. One day, SOMETHING (The Universe) will be NOTHING.

Therefore, there is a real number which when one is divided by it, WILL yield zero as the answer.
The opposite of Nothing is not Infinity, it is Everything.
The Everything number.
It is so far beyond our conception, that for us, in our lives, it might as well be infinity, but it isn't.

In the same way, we know that in practical geometry two parallel lines never meet, but in the universe as a whole they not only can, they must.



We need to understand what mathematics is.
Its roots are purely empirical- we know from practical experience that 2+2=4
In fact the only numbers we can really visualise are the lower end of the scale, the rest we conceptualise by the concept of bases- 84 is 8x10+4.
84 is a real number. Such a quanitity can exist.
Not all numbers can.

Negative numbers, for example, are an accounting tool.
They exist on balance sheets, but if calculations involving real quantities yield them as answers, the answer is wrong.
There are never going to be -12 cans of beer in your fridge.

Pi is a ratio. It's not a real number, because it doesn't make sense. It is our way of expressing numerically a relationship- that between diameter and circumference, that can never be expressed in real terms, you couldn't make a genuinely perfect circle using real matter. The numbers just don't pan out.
The fact is we are trying to impose a human idea of a geometrical truth, when it doesn't entirely work.
The same is true of the square route of two.
We are just expecting too much to get a sensible answer.

The fact we try, and the fact we give expression to our attempt in a way we can link to the rest of the conceptual system we have designed for dealing with quantities, is a sign of our amazing ability to conceptualise.

But we shouldn't lose sight of empirical reality.

Infinity is an imaginary number. Imaginary numbers are numbers mathematicians use to explain concepts that defy expression.
For example, the square root of -9.
3 squared=9
-3 squared=9

So what therefore is the square root of -9?
Here come imaginary numbers.
Mostly, imaginary numbers serve simply to allow advanced mathematicians to explore the limits of our conceptualisation.
In no case can a REAL calculation, yield an answer that is an imaginary number.
Except when we come to look at our scale of numbers. Because our scale of numbers starts with real numbers, and ends in imaginary ones.
We know, deep down, this cannot be a true expresion of reality, it bothers us.
It has driven mathematicians mad.

Because up there in the higher reaches of quantities, is the ultimate quanitity.
When you multiply the total amount of variables existent in our universe, there will be a quantity beyond which no real calculation in the real universe will ever go.



The Omega number.
Now yes, this has scary consequences. Infinity squared= Infinity. We are comfortable with that.
But to accept that there exists a REAL quantity, which when multiplied by itself, yield itself, exactly like a mirror image of Zero, only it is EVERYTHING, is mindblowing.

Because long before we reach that number, the ways quantities compute, must behave differently to what we assume.
Because the number twenty places below Everything, when multiplied by itself, can't yield a result higher than Everything.

At some point, everything we assume about multiplying and dividing, must follow different rules, ones we don't know yet, because we don't know where the rules change- I can't begin to conceive the point where the rules would change, but it must be beyond a centillion, on purely conceptual grounds.



But thus must be so. For mathematics is the study of quantitive relationships in the real universe, a finite universe, with a finite number of possibilities. One day, all those possibilities will have been exhausted.

Ultimately, when we look at the equation 2+2=4, we need to remember the proviso;
In this universe.