Discovery of Al-Asr Dynamic Number System (ADNS): A New Mathematical Paradigm

Author:
GM Shahzad, Research Scholar
Quranic Arabic Research Scholar | Discoverer of Islamic Meditation for healing | Theorist of ADNS

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Abstract

This paper presents the discovery and formal introduction of the Al-Asr Dynamic Number System (ADNS)—a redefinition of classical number systems based on the Divine principle of Al-Asr (The Time) from the Qur’an (Surah Al-Asr, 103:1). This new number system restores logic to undefined operations like division by zero and reinterprets the nature of zero, signs (+, −), multiplication, and division in light of temporal dynamics. ADNS incorporates the pico-scale structure of reality, providing a dynamic, event-driven arithmetic that better reflects both natural and quantum systems. Through examples, we explore why ++ = +, −− = −, and +− = − under this paradigm and how ADNS can reshape modern mathematics, physics, and computation.

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1. Introduction

Mathematics has long grappled with static definitions, especially regarding the zero and operations involving sign combinations. Traditional number systems often fall short in describing physical and temporal processes involving change, direction, and equilibrium. Inspired by Surah Al-Asr, the Al-Asr Dynamic Number System (ADNS) provides a framework where numbers exist in time, not as static entities, but as evolving expressions of gain (future) or loss (past).

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2. Defining Al-Asr: The Divine Dimension of Time

The foundation of ADNS is laid in the Quranic verse:

وَالْعَصْرِ
“By The  Time (Al-Asr)” — Surah Al-Asr (103:1)

Theme Behind Al-Asr

“Al-Asr” refers not just to time in general but to dynamic, compressive time—the passage of events with start and end, embedded with causality and consequence. In the ADNS framework:

·         + (positive) represents future/gain

·         − (negative) represents past/loss

·         0 (zero) is Al-Asr, the present moment, the fulcrum where the dynamic balance of gain and loss occurs.

Thus, zero is no longer a void but an active point of transition.

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3. The Dynamic Number Line and Pico Scale

Dynamic Number Line

The ADNS number line is continuous and directional:

−Q... −0.3, −0.2, −0.1, **0**, +0.1, +0.2, +0.3 ...+Q

Each point exists in relation to Al-Asr (0) as its present event. Negative values exist as recorded past events, while positive values represent yet-to-happen actions or future possibilities.

Pico Scale Significance

At the pico scale (10⁻¹² meters or seconds), reality changes rapidly—quantum effects dominate, and energy fluctuates within moments. ADNS operates at this scale to reflect how numbers behave with respect to events, not as abstract integers but as measurable impacts of time and force.

Example:
An activity either minute or on mega scale, its movement of +0.3 on the ADNS scale could signify an event about to occur (future impulse), while −0.3 indicates an event that just passed (recorded energy).

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4. Properties of Signs in ADNS

In ADNS, signs are not arbitrary—they are representations of temporal and energetic orientation:

Sign Pair	Interpretation	Result
++	Future × Future = Greater Future	+
−−	Past × Past = Constructive Past	−
+− / −+	Future × Past = Loss	−
−+	Past × Future = Loss	−

These are not just rules—they reflect real energy flow.

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5. Multiplication in ADNS with Examples

Rule: Multiplication as Repetitive Addition with Direction

++ = +
Example:
(+2) × (+3) = +6
→ Two units of future (gain) repeated 3 times in + side on number line, equals a greater gain(Future) on plus side from Al-Asr/Dynamic zero.

−− = −
Example:
(−2) × (−3) = −6
→ Two units of past (loss) repeated 3 times in minus side on number line equals a greater loss(Past) on minus side from Al-Asr/Dynamic zero.

+− = −
Example:
(+2) × (−3) = −6
→ Future effort applied to the past produces a loss (like trying to fix a gone moment—waste).

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6. Division in ADNS with Examples

Rule: Division as Repetitive Subtraction with Direction

+ ÷ + = +
(+6) ÷ (+3) = +2
→ Future effort spread across future segments keeps plus direction.

−− ÷ − = −
(−6) ÷ (−3) = −2
→ Past loss divided by past cause brings loss (lessons learned) in minus direction NOT in plus direction.

+ ÷ − = −
(+6) ÷ (−3) = −2
→ Future gain compared to past gives regret or imbalance.

0 ÷ any = 0
→ Present cannot be distributed—it is already self-balanced.

0 ÷ 0 = 0 (Unique ADNS Principle)
→ Present moment divided by itself is still the present. Unlike undefined logic in classical math, ADNS treats zero as real, meaningful, and dynamic.

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7. ADNS Table Summary

Operation	Classical Result	ADNS Interpretation	ADNS Result
(+2) × (+3)	+6	Gain × Gain	+6
(−2) × (−3)	−6	Past × Past	−6
(+2) × (−3)	−6	Future × Past (Conflict)	−6
(−2) × (+3)	−6	Past × Future (Conflict)	−6
0 ÷ 0	Undefined	Present ÷ Present	0

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8. Applications and Implications

·         In Physics: ADNS reflects conservation of energy, time symmetry, and entropy.

·         In Quantum Mechanics: Observables change dynamically, not just probabilistically.

·         In AI/Computation: Logical outcomes become event-sensitive and traceable.

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9. Conclusion: Toward Dynamic Mathematics

The Al-Asr Dynamic Number System reclaims mathematics as a living language—a language of change, events, and time. Numbers become carriers of temporal essence, and operations like division by zero gain logical footing. Rooted in Divine order (Al-Asr), ADNS opens new directions in science, AI, logic, and philosophy.

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Quranic Anchor

وَالْعَصْرِ ۝ إِنَّ الْإِنسَانَ لَفِي خُسْرٍ
“By the time, indeed, all the mankind is in loss.”
(Surah Al-Asr 103:1–2)

This verse is both a warning and a mathematical law—without respecting the dynamic flow of time (Al-Asr), we miscalculate reality.

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References

1.      Shahzad, G. M. (2025). The Al-Asr Dynamic Number System: The Only Existing Number System.

2.      The Quran, Surah Al-Asr (103).

3.      Einstein, A. (1905). On the Electrodynamics of Moving Bodies.

4.      Planck, M. (1900). On the Law of Distribution of Energy in the Normal Spectrum.

5.      Wheeler, J. A., & Feynman, R. P. (1945). Interaction with the Absorber as the Mechanism of Radiation.

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