This is a story of a dinner out with friends, planning my retirement...
I went to the book store with my friend Lesya. I bought 2 books. I was pretty insistent that I buy one of them. Out of all the books in that book store, I couldn't imagine walking out of there without this one. I knew that it would haunt my idle thoughts and dreams if I didn't have this book.
But, strangely though, as I leafed through the book, trying to build up the courage to buy it - and not repress my general urge to p1ss all my money away - I found a deeper and deeper connection with it. Every page I opened, I fell more and more in love with the content... perhaps I have always loved it?
So, a headhunter recently asked me what I really want to do with my life. I was surprised how unhesitatingly I answered that I want to retire at the age of 45 and become a Therotical Physicist. It just tripped right off the tongue, even though I hadn't made that plan - at least in my concious mind - until that point in time.
But what is time? What is conciousness? At dinner later that evening, we conducted a kind of experiment which was quite enlightening...
There are 1,099 pages in Penrose's book. I asked my friends to open the book at any page, and I would attempt to explain the theory on the page that the book was 'randomly' opened at. Why do I put 'random' in quotes like that? Well, I have a working theory that there is no such thing as a random number, in reality as we can possibly experience it... which leads on to the first page.
The Anthropic Principle is where the book was first opened, by Lesya, which nobody wanted me to explain, as John believed I had rigged the game. Anybody with a reasonable grasp of Greek or Latin or whatever the f**k language that poncey word "Anthropic" is rooted from, will know that basically what this is saying is Humanity is at the centre of the reality we all experience. In the catchphrase of the Moneysupermarket Meerkat.... SIMPLES!!
I did a quick Google search for "number of books in a book store" and the first simple answer I came up with that doesn't sound unrealistic was "upwards of 1,000" which is a bit of a sh1t answer, because 1,160,000,000,000,000 is a number which is upwards of 1,000 so let's use 999 as the answer to be on the safe side.
So, there was a 1/999 chance that I would pick that book, and a 1/1,099 chance that Lesya would pick that page, which means there was a 0.0001% chance that I could have preplanned that 'stunt'. Not likely, but still a chance.
So, then John had a go opening the book. I'm going to try and write the formula that was on that page, from memory:
Δp Δx ≳ ½ ћ
Now, I'm not sure, but I'm just going to go with my gut instinct and avoid cheating, but I'm pretty sure that looks like the Uncertainty Principle to me. The first symbol is easy - delta - the little triangle means 'the difference between two values'. So the first side of the equation says "what is the total area that could be covered by something with a known momentum AND a known location"... where in the world could the thing we are looking for be found?
So, I'm going to explain the other side of the equation in a minute, but for now let's just work out the odds of me being right. It's another 1 in 1,099 chance that John could have picked the page I wanted him to, at 'random'. That makes a statistical probability of 0.00000008% that the events of the evening went in my favour.
So, the other side of the equation is super easy. It's half the Planck constant. I reconised the h-bar symbol and what it meant immediately. We can work out the odds of that. There are 26 letters in the Roman alphabet, and let's imagine that there are 26 kinds of mark applied to them, each with a specific meaning in Physics (this obvious simplification ignores all the Greek characters... but it will suffice). So that's 1/26 times 1/26, which is 0.15% probable that I would match the correct meaning (assuming I knew them all) with the character.
So what kind of probability have we gotten to now?
0.0000000001%
I'm not sure, but I hope that is Six Sigma statistical significance. I was never that great at Maths.