Finally the math mystery is solved!
1/0 ≠ Infinite
Math is the Language of Representation of Reality in Certain Definite Forms
For example, we represent time in hours, minutes, and seconds.
We represent distance in kilometers, and so on.
Everything has its own way of representation and units.
But math is not just limited to this —it goes far beyond!
It is the language that represents the nature of reality as well!
We limit math to understanding basic things through basic rules, but math itself is not limited —it is unlimited.
Math is a beautiful language of representation of certain rules.
Let’s explore certain mysteries of math:
When I have something to give to you, I will give it to you, right?
If I express this same thing in math, it would be written as:
1/1 = 1
Suppose I have four things and I want to give them to two people, I can express this as:
4/2 = 2
That means each person gets two equal pieces of what I had.
Hence, we can form a formula for division:
A/B = C
This also means that if two people each get two equal pieces, the total number of pieces is 4. Or, expressed mathematically:
B*C = A
This action (expression) also represents that the probability of the existence of A through the multiplication of B with C depends on the value of A itself!
It means it was predetermined that the multiplication of B with C will always give A, no matter who performs the action or where it is performed.
And this certainty binds us to limitations!
The Problem with Division by Zero
But the problem arises when I have something and I want to give it to "No one" —what will that "No one" get?
Or, in simple math,
1/0 = ?
Traditional math fails to explain this.
It states that one cannot be divided by zero.
They use logic to explain this concept:
"If one is divided by half, it will be doubled!" I wondered!
1/0.5 = 2
But how?
If 1 is divided by 0.5, it will be 2 —because the one whole has been split into two equal parts, but it has not doubled.
Example:
If I have one mango and I want to give it to two people, I will cut it into two parts. The same one mango is now divided into two parts, but it has not doubled — it has just been split into two equal pieces.
Hence, the outcome is the relative value of the dividend.
What Happens When We Divide by Numbers Near Zero?
If 1 is divided by 0.01, the answer is 100 (100 parts of one).
If 1 is divided by 0.00000001, the answer is 10000000.
If 5 is divided by 0.0001, the answer is 50000.
Now, if 1 is divided by 0 (or a number approaching zero), the answer approaches infinity.
But this makes no sense because if I have one apple and I give it to no one, I will never have infinite apples!!!
Thus, the logic that 1/0 = infinity is not completely true.
The real truth is that 1/0 = infinite divisions of 1 whole.
It represents a relative value, not an actual infinite number of parts.
However, in practice, an apple cannot be split infinitely —because making infinite divisions of an apple would destroy the apple itself.
But if I give that apple to (imaginary person) "no one," the apple still remains the apple!
This introduces a new concept — the perception of the state of an item and the value of the item.
The Perception of Division
With common logic, 0.0001 represents 1/10000 —which means you are dividing something into 10,000 parts.
So, if you divide 1 by its ten thousandth part, you get 10000.
1/0.0001 = 1/(1/10000) = (1*10000)/1 = 10000
Thus, when dividing 1 by a very small number, the answer represents infinite possibilities of division.
But if division is by absolute zero, the answer must be 1 itself.
Why?
Because dividing by zero changes the state of the number.
"Dividing by zero" -- Has only two meanings:
- The action is not taken yet, or
- The action has been done already & there is no object for the action (this indicates the absence of object)
Traditional math treats infinity as the answer, but infinity only represents a possibility, not a value.
If it were a true value, it should be measurable.
So, Any number X/0 = X (but with a opposite state/direction/form of existence -- based on the context in which it's been used.) i.e. (- X) ; where negative sign indicates opposite state/direction/form of existence
This is quite strange to digest because when you use the same formula for multiplication; 0 * X = (?)
It will never give you X as an answer, right?
Yes because, we need to understand the nature of Zero.
Zero is a state, main reference point (from where all the numbers get their values), and value itself. So, Zero has three characteristics. While other numbers are just considered as values.
When there is a Zero in division, you should treat it as it is. For example;
X/0 = ±X (based on the context in which it's been used).
But you should not convert that equation into multiplication because that is what the nature of Zero. If you multiply anything with Zero, the answer will always be Zero. And when you divide any number by zero, the answer will be that same number with/without opposite state (based on the context it's been used for).
A New Perspective:
Consider this:
If I have one apple and I want to give it to "no one," how many apples will "no one" get?
Nothing, right?
But now, imagine "no one" as an imaginary person.
If I still have the apple but intend to give it to "no one," then I am in debt.
Thus, my apple is no longer mine, but it is debt, represented as a negative sign:
1/0 = -1
where negative one represents debt, not absence.
The Strangest Part! (already explained above)
If we say -1*0 = 1, is this true?
No! Why?
Because we misunderstand numbers as absolute when they are actually relative to zero.
One more thing:
Math often represents possibilities rather than absolute values.
For example,
1/10 ≠ 0.1
but why?
(Certainly, 1/10 = 0.1, but not with absolute certainty! -- One of such example is: Square root of any number let's say: Sqrt 25 = ±5)
1/10 is a future action, while 0.1 is a past action. -- therefore, it is philosophy of mathematics!
Mathematically,
- The left-hand side (LHS) is an action to be taken (future action).
- The right-hand side (RHS) is the fruit of that action (past action).
Thus, 1/10 is not equal to 0.1 unless there is an observer performing the division!
We normally say that LHS = RHS
But, it is only true if we can prove it or perform the action.
Because,
√25 is not always equal to +5.
So, I cannot put LHS = RHS for √25 and (+5)
I will have to use ± sign.
That means the RHS has two possibilities, right?
That means there is certainty to the answer but not absolute certainty due to different possibilities.
And, this understanding draws my mind to the most famous Sanskrit shloka of Bhagvad Geeta (BG 2.47);
कर्मण्येवाधिकारस्ते मा फलेषु कदाचन।
मा कर्मफलहेतुर्भूर्मा ते सङ्गोऽस्त्वकर्मणि॥
That explains to us that: We can perform our actions, but there is no absolute certainty in its results. Because your result could be from the different past actions.
Anyways, the conclusion of this entire article is here:
X/0 = ± X (opposite state/ form of existence/ direction --- based on the context in which it's been used for)
Second: You should not convert that equation into multiplication because that will give you inconsistent results because that is what the nature of Zero (it has three characteristics; value, state, and reference point).
Finally, it took me five months to compile this entire article! But as far as I know, I am sure that this understanding may be useful for the physicists and mathematicians to understand the Blackhole theories, Information paradoxes, String theory problems, Event horizon calculations (where we often find the density related problems) and many more problems of quantum physics.
I hope you would share it with your research team for further discussions and understanding about mathematics. If you think you can add something more to it, please do not hesitate to contact me, we can work together and improve the existing problem of mathematics to arrive at the right solutions.
Thanks :)
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Copyright by Yagnesh Suthar
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