Mathematics does not dictate 'Reality'. 'Reality' dictates the mathematics
15th January 2015
Mathematics does not dictate 'Reality'. 'Reality' dictates the mathematics.
Private & Confidential Copyright © Mr A Pépés
I stated the above back in 1998 in my first book, but :
What do I mean by this statement?
Essentially mathematics is just an abstract tool that helps us simplify, understand (to some degree) and calculate or predict things.
It does not make or explain 'Reality'.
You can obtain a mathematical formula that appears to explain 'Reality' and it will give you what you think is the correct answer, so you get the impression that it is correct.
Let me give you a simple example to explain the concept (as I always say the concepts come first) (which will also apply to the subatomic mathematics).
I go to my garden, I pick 4 apples from my apple tree, I bring them home and then eat 2 of them, I am now left with 2 apples.
Now to simplify the above I create a formula that calculates what happens with my apples (I.e. I have 4 eat 2 and am left with 2).
The formula is 4 - 2 = 2.
(Some people, because of the 'meaning of words' as explained in another Tea Break Book, may think this is not a formula and just a string of numbers, they can complicate things by adding a variable like "a" for apple or add any number of other factors to create what they think is a formula, but in the end the concept is the same).
The formula predicts how many apples I have left.
This is correct but it is not really what happens, it is just a simplification, fine everybody knows that.
Now a mathematician can play with this formula, as long as he makes the same changes to both sides of the = sign, all will be ok, as far as he is concerned (it doesn't have to be a mathematician, it can be a physicist).
So add 400 to both sides, you get :
404 - 2 = 402.
The answer is mathematically correct, but you will say it did not give the correct answer of 2 apples left.
So now subtract another 400 from both sides, you get :
404 - 402 = 2.
The answer is both mathematically correct and it predicts the correct answer of 2 apples left.
Now what was the point of the above?
The point is that when you really don't understand what is really going on, you may create a formula that predicts the correct answer, but does not represent what really happened.
So in the above example if the physicist created the second formula to predict the apples left, he could claim that this was the reality, as he gets the correct answer.
Now you all know that in this simple example it would be totally wrong, because it would mean I picked 404 apples then ate 402 apples, leaving me with 2 apples. The answer is correct but does not reflect what actually happened.
Because I explained the previous 'Reality' you see that it is obviously wrong, but what is wrong with :
Entropy S = A/4 x lp² (Beckenstein, Hawking)?
If you don't know the 'Reality' then it is not obvious any more.
I explain a different 'Reality' and Entropy becomes something 'Real' (another Tea Break Book).
So the mathematics must reflect what really goes on.
I.e. 'Reality' must dictate the mathematics, and mathematics on its own does not dictate 'Reality'.
16th January 2015
Private & Confidential Copyright © Mr A Pépés
I think I explained something similar to what I am going to say elsewhere, but can't remember where.
Anyway in the same context, one plus one does not always equal two in 'Reality'.
I.e. 1 + 1 ≠ 2 in all situations. This is because again mathematics is abstract, and in pure mathematics it always equals 2. In 'Reality' one does not have to equal one, in other words two different ones are not necessarily equal to each other.
Let me explain.
I have one apple and obtain another apple.
Then I can ask how many items do I have?
The answer is 2.
I have one orange and obtain another orange.
Then I can ask how many items do I have?
The answer is 2.
I have one apple and obtain an orange.
Then I can ask how many items do I have?
The answer is 2.
All three answers are correct mathematically, but all the 2's are not equal to each other!
This is because all the 1's where not equal to each other.
You may say that it is obvious because I am not counting the same things, apples are apples, oranges are oranges.
I am highlighting this difference so you can see the concept I want to get across.
Even if all three examples where apples I still say that all the 2's are still different!
One apple is not the same as another apple, one could be bigger or have a different number of pips, slightly different colour, slightly different shape etc.
Unless you are not interested in accuracy, nothing in this Universe is exactly the same as something else (start counting the atoms and their relative positions in Time and Space), so you can't use simple mathematics and formulae to explain detailed 'Reality' unless you know exactly what is going on. Each level of 'Reality' needs different rules and formulas, because of this, formulae break down when applied to the wrong level.
17th January 2015
Private & Confidential Copyright © Mr A Pépés
When I say mathematics is abstract I mean it in the same way that letters are abstract, both are symbolic of something 'Real' but are not the same as the 'Real' thing. We use letters to construct the written words, but these written words represent but are not the same as the actual words that are spoken and make 'Real' sounds using air vibrations. They are two different things. The written words are only 'Real' as ink on paper, or visual on some other medium, in which our minds interpret in place of the spoken word. Can you see i.e. interpret the difference.
Morph your mind with Morphological at
apepes.com
Mathematics does not dictate 'Reality'. 'Reality' dictates the mathematics.
Private & Confidential Copyright © Mr A Pépés
I stated the above back in 1998 in my first book, but :
What do I mean by this statement?
Essentially mathematics is just an abstract tool that helps us simplify, understand (to some degree) and calculate or predict things.
It does not make or explain 'Reality'.
You can obtain a mathematical formula that appears to explain 'Reality' and it will give you what you think is the correct answer, so you get the impression that it is correct.
Let me give you a simple example to explain the concept (as I always say the concepts come first) (which will also apply to the subatomic mathematics).
I go to my garden, I pick 4 apples from my apple tree, I bring them home and then eat 2 of them, I am now left with 2 apples.
Now to simplify the above I create a formula that calculates what happens with my apples (I.e. I have 4 eat 2 and am left with 2).
The formula is 4 - 2 = 2.
(Some people, because of the 'meaning of words' as explained in another Tea Break Book, may think this is not a formula and just a string of numbers, they can complicate things by adding a variable like "a" for apple or add any number of other factors to create what they think is a formula, but in the end the concept is the same).
The formula predicts how many apples I have left.
This is correct but it is not really what happens, it is just a simplification, fine everybody knows that.
Now a mathematician can play with this formula, as long as he makes the same changes to both sides of the = sign, all will be ok, as far as he is concerned (it doesn't have to be a mathematician, it can be a physicist).
So add 400 to both sides, you get :
404 - 2 = 402.
The answer is mathematically correct, but you will say it did not give the correct answer of 2 apples left.
So now subtract another 400 from both sides, you get :
404 - 402 = 2.
The answer is both mathematically correct and it predicts the correct answer of 2 apples left.
Now what was the point of the above?
The point is that when you really don't understand what is really going on, you may create a formula that predicts the correct answer, but does not represent what really happened.
So in the above example if the physicist created the second formula to predict the apples left, he could claim that this was the reality, as he gets the correct answer.
Now you all know that in this simple example it would be totally wrong, because it would mean I picked 404 apples then ate 402 apples, leaving me with 2 apples. The answer is correct but does not reflect what actually happened.
Because I explained the previous 'Reality' you see that it is obviously wrong, but what is wrong with :
Entropy S = A/4 x lp² (Beckenstein, Hawking)?
If you don't know the 'Reality' then it is not obvious any more.
I explain a different 'Reality' and Entropy becomes something 'Real' (another Tea Break Book).
So the mathematics must reflect what really goes on.
I.e. 'Reality' must dictate the mathematics, and mathematics on its own does not dictate 'Reality'.
16th January 2015
Private & Confidential Copyright © Mr A Pépés
I think I explained something similar to what I am going to say elsewhere, but can't remember where.
Anyway in the same context, one plus one does not always equal two in 'Reality'.
I.e. 1 + 1 ≠ 2 in all situations. This is because again mathematics is abstract, and in pure mathematics it always equals 2. In 'Reality' one does not have to equal one, in other words two different ones are not necessarily equal to each other.
Let me explain.
I have one apple and obtain another apple.
Then I can ask how many items do I have?
The answer is 2.
I have one orange and obtain another orange.
Then I can ask how many items do I have?
The answer is 2.
I have one apple and obtain an orange.
Then I can ask how many items do I have?
The answer is 2.
All three answers are correct mathematically, but all the 2's are not equal to each other!
This is because all the 1's where not equal to each other.
You may say that it is obvious because I am not counting the same things, apples are apples, oranges are oranges.
I am highlighting this difference so you can see the concept I want to get across.
Even if all three examples where apples I still say that all the 2's are still different!
One apple is not the same as another apple, one could be bigger or have a different number of pips, slightly different colour, slightly different shape etc.
Unless you are not interested in accuracy, nothing in this Universe is exactly the same as something else (start counting the atoms and their relative positions in Time and Space), so you can't use simple mathematics and formulae to explain detailed 'Reality' unless you know exactly what is going on. Each level of 'Reality' needs different rules and formulas, because of this, formulae break down when applied to the wrong level.
17th January 2015
Private & Confidential Copyright © Mr A Pépés
When I say mathematics is abstract I mean it in the same way that letters are abstract, both are symbolic of something 'Real' but are not the same as the 'Real' thing. We use letters to construct the written words, but these written words represent but are not the same as the actual words that are spoken and make 'Real' sounds using air vibrations. They are two different things. The written words are only 'Real' as ink on paper, or visual on some other medium, in which our minds interpret in place of the spoken word. Can you see i.e. interpret the difference.
Morph your mind with Morphological at
apepes.com