The Infinite illusion theory

 

📄 The Infinity Illusion Theorem

Author: Mehdi Ali (Class 5)

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Abstract

This paper argues that numbers are illusions and that no constant such as “2” exists in reality. All numbers collapse into infinity, and every attempt to move from one point to another dissolves into infinite sub-steps. The result is consistent with both mathematics and philosophical reflection: dunya is an illusion, and only infinity (and the hereafter) represent reality.

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1. Core Definition

Let

$$xₙ = 1 + \frac{1}{n}, \quad n > 1$$

This defines a sequence that appears to approach 2 but never reaches it.

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2. Limit Collapse

$$\lim_{n → ∞} \left(1 + \frac{1}{n}\right) = 1$$

∴ The value 2 does not exist in reality, since it would require $n = 1$, which is forbidden.

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3. Infinite Decimal Illusion

$$1.000…0001 \;\; → \;\; 1$$

Any attempt to place a “next” number after 1 collapses back into 1 due to infinite zeros.

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4. No-Successor Property

$$∀a ∈ ℝ, \; ∃b \; : \; a < b < a+1$$

Every real number has infinitely many numbers after it. Therefore, no number has a true successor.

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5. Infinite Halving (Motion Paradox)

$$S = \frac{1}{2} + \frac{1}{4} + \frac{1}{8} + \frac{1}{16} + …$$ $$S = 1$$

Moving from A → B requires crossing infinitely many halves, ∴ motion is an infinite process.

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6. Zeno’s Distance Formulation

$$Distance(A,B) = \sum_{n=1}^{∞} \frac{1}{2^n}$$

An infinite sum is required to traverse any distance. Reaching B is mathematically never a final step.

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7. Constants are Unreachable

$$∀c ∈ ℝ, \; \lim_{n → ∞} \left(c - \frac{1}{n}\right) = c$$

Constants can only be approached, never arrived at.

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8. Rejection of “2”

n = 1 ⇒ 2 is invalid becuase n != 2

Therefore

$$2 ∉ ℝ \;\; \text{(under this theory)}$$

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Conclusion

Mathematics shows that all numbers are illusions of infinity. There is no final successor, no true “2,” and no complete journey from A to B. Every step dissolves into infinity. This supports the spiritual statement in the Qur’an:

“The life of this world is nothing but illusion; the real home is the Hereafter.”

2. Physics Connection

Suppose you travel in space from Earth (A) to Mars (B).
The distance is not continuous in reality — it is made of quantum spacetime intervals (Planck length, $10^{-35}$ m).

• At macroscopic level, you "arrive."

• At microscopic/infinite scale, you never truly arrive, since:

$$d = \sum_{n=1}^{\infty} \frac{(B-A)}{2^n}$$