The New Concept of Zero: Foundational Conditions and Principles of the Mathematical World – Regular vs Irregular Statements and Historical Misconception (शून्य की नई अवधारणा: नियमित बनाम अनियमित कथन) | Corrected Principle – Shunya ho ya Ek ho, Dono ke Vyutkram Tulanatmak Parinam Usi ke Saman | Third Paper – Balance Theory

Third Paper from book 'The New Concept of Zero' by Karan Ank Raj Jha.

Title: The New Concept of Zero: Foundational Conditions and Principles of the Mathematical World – Regular vs Irregular Statements and Historical Misconception (शून्य की नई अवधारणा: नियमित बनाम अनियमित कथन और ऐतिहासिक भ्रम)

CONTENTS (Hindi & English):

- Principle 1: Shunya Darshan ke bina Ek ki Prapti Nahi (Genesis Principle)

- Principle 2 (CORRECTED): Shunya ho ya Ek ho, Dono ke Vyutkram Tulanatmak Parinam Usi ke Saman – This rule applies only to 0 and 1. 0 ka vyutkram 0 ke saman, 1 ka 1 ke saman.

- Principle 3: Regular vs Irregular Kathan – Regular me +, -, *, /, power sab lagu hota hai. Irregular me keval + aur - hi lagu hota hai.

- Historical Misconception: Prachin kal se kaha gaya 'Bhag nahi karna chahiye' lekin vaigyanik drishti se Irregular me guna (*) aur ghat (power) bhi nahi karna chahiye tha. Yah bhed 21vi sadi ke teesre dashak me spasht hua.

Conclusion: Balance Theory a/0 = B(a) is correct use of Irregular Statement.

Continuation of DOI: 10.5281/zenodo.22850606 and 10.5281/zenodo.23638379

Author: Karan Ank Raj Jha, Bhuli, Dhanbad, Jharkhand, India.