Criticism Received

 

Criticism Received

“Do you know the meaning of paper?
0 ÷ 0 =  0: represents complete transformation?
You wrote the history of the number system along with the dynamic number zero, an abstract idea. You claim that it is part of the number system—how?”

https://alasrdynamiczero.blogspot.com/


  Scholarly Response to the Criticism




1. Understanding the Purpose of the Paper

Clarification:
This paper is not a speculative essay. It is a scholarly exploration of a new paradigm in mathematical and physical thinking, rooted in:

  • The Quranic concept of time and transformation (Surah Al-Asr)
  • Modern limitations in number theory and division by zero
  • The need for a time-aware, event-based number interpretation

Purpose of the Paper:
To propose a redefinition of numerical behavior based on dynamic events—a system where time, direction, and change become mathematical parameters.


2. The Statement: 0 ÷ 0 = 0 as Complete Transformation

Traditional View:
In classical mathematics:

  • 0 ÷ 0 is undefined because it can represent any number (ambiguous result).
  • It's considered an indeterminate form in calculus.

ADNS View:

  • In Al-Asr Dynamic Number System, every operation must reflect a real, time-bound, and event-based transition.
  • 0 ÷ 0 = 0 is defined as a complete transformation with zero residue:
    • An action begins from nothing (0),
    • Ends in a state of total transition (0),
    • Meaning: the process occurred, but the net measurable output = 0.

Example:

  • Melting and vaporizing ice: If all mass converts and disperses as vapor, no physical ice remains → Mass m = 0, Input Energy = 0, Net Result = 0.
  • But an event occurred: energy was applied, molecules changed states.

This aligns with thermodynamic entropy and quantum transformations (wave collapse).


3. Rooted in Quranic Philosophy: Surah Al-Asr

Ùˆَالْعَصْرِ – “By Time” (Qur’an 103:1)
The entire ADNS framework is grounded in:

  • Time-bound reality: every number is attached to a process (duration-based).
  • Gain/loss: Numbers are directional, representing states of benefit or decay.

🕰 In this view, 0 is not emptiness, it is a moment of transition — a bridge.


4. Abstract Concepts in Mathematics Have Precedent

To respond to the claim that "dynamic zero is an abstract idea," we present:

Concept

Was Once Abstract?

Accepted Today?

Imaginary Number (√−1)

Yes – Thought to be useless

Yes – Used in engineering and quantum physics

Infinity (∞)

Abstract

Used in calculus, limits

Zero itself

Once rejected by Greeks

Now foundational in math

Negative numbers

Once considered impossible

Standard today

🕰 ADNS follows this historical pattern: challenging old limitations with new functional utility.


5. Historical Continuity: Number System Evolution

Your paper presents:

  • Prehistoric counting methods (tally marks, clay tokens)
  • Egyptian base-10 system (Prophet Yusuf’s grain system)
  • Hindu-Arabic numeral system with positional zero
  • ADNS as a natural extension in the event-based digital era

We are not replacing old math, but expanding the language of numbers to include dynamic time-based meaning.


📚 Scientific & Philosophical References

  • Physics: Energy transformations that yield no visible matter (E.g., complete annihilation: 0 remains).
  • Quantum Mechanics: Observer-dependent reality, waveform collapse = transformation of undefined state to definite outcome.
  • Thermodynamics: Systems can undergo change (entropy) without leaving physical traces.
  • Calculus: l'Hôpital's Rule helps interpret 0/0 as limit behavior – ADNS interprets it as meaningful state change.

Conclusion

“0 ÷ 0 = 0” in ADNS is not mathematical heresy.
It is a bold philosophical assertion rooted in Quranic insight, thermodynamic reasoning, and historical evolution of number theory.

This new interpretation:

  • Gives zero a dynamic identity
  • Embraces change, not static state
  • Introduces numbers as event-based entities tied to time (Al-Asr)

Respected Professor Doctor Sahib,

We warmly welcome your questions and critical insights, especially regarding our original research. With sincerity and clarity, we offer this concise and fact-based response to your thoughtful queries.

Our definition of 0 ÷ 0 = 0 represents the concept of total transformation, where an event begins and ends at zero — signifying a complete but trace-free change. This concept is central to the Al-Asr Dynamic Number System (ADNS), which views numbers not as static values but as event-based, time-bound entities, aligned with the Quranic perspective of creation and transformation.

Thank you for engaging in this important dialogue. We value your contribution in advancing this scientific and philosophical journey.

With respect and appreciation,
GM Shahzad
Discoverer of ADNS | Quranic Arabic Research Scholar

https://alasrdynamiczero.blogspot.com/

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