**Consideration of Different Infinities**

**to Fake the Golden Key**

## What is Golden Key?

## How is it Calculated?

## What is the Problem?

Set (B1) above has infinite elements.;**Infinity1**

Let cardinality of Set (B1) is

**C1**.

Set (B2) above has infinite elements.;

**Infinity2**

Let cardinality of Set (B2) is

**C2**.

Set (B2) cardinality must be equal to Set (B1) cardinality.

**C1 =**

**C2**

meaning same infinity number of elements;

**Infinity1=**

**Infinity1**

But, in the calculation above (B1) - (B2),

Set (B2) cardinality is not equal to Set (B1) cardinality.

**C1 <> C2**

meaning different infinity number of elements;

**Infinity1<>**

**Infinity2**

Therefore, information loss/leak in the calculation (subtraction).

The leak accumulates with rest of the calculations, moving away from the expected result.

## Show me the concept

Let universe be finite.*(no consideration for infinitely expanding universe, multiverse or universe of universe/multiverse within the scope of this demonstration)*

Let everything(universe) range be 1-200.

Let research-1 scope (world-1) range be 1-25.

Then, infinity range would be from 26-200 (beyond the range of research scope)

If Set(P) has infinity-1 number of elements, ranging = 10 - 100

The cardinality of Set(P) is 90.

If elements of Set(P) multiplied by 2, resulting Set(Q)

Set(Q) also has same number of infinity-1 elements from Set(P)

Therefore cardinality of Set(Q) is 90.

Set(P) and Set(Q) has One-to-one relationship

Therefore, all elements of Set(Q) can be subtracted by all elements of Set(P).

If Set(R) has infinity-2 number of elements, ranging = 10 - 150

The cardinality of Set(R) is 140.

Set(P) and Set(R) does not have One-to-one relationship

Therefore, if all elements of Set(R) be subtracted by all elements of Set(P), 140-90 = 50 elements of Set(R) does not participate in the calculation.

## Conclusion

- Golden Key is faked, because different infinity series (with different cardinality of sets) were used in calculations.

- If
**Golden Key**has an**error**,**Riemann Hypothesis**came out from thin air, meaning**baseless**.

- Therefore, what is the
**validity**of Millennium problem?

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