Refutation of the ABC Conjecture via Continuous Odd Series and the Absolute Parity of Square-Difference Limits

This paper provides a formal refutation of the ABC Conjecture. By using the sum of continuous odd series to define $A+B=C$ , we prove that the radical product $rad(ABC)$ is inherently bounded compared to the exponential growth of $C^2$. This structural asymmetry confirms that $q$ is unbounded for a vast majority of integers.本文透過構造連續奇數級數，對 ABC 猜想進行了嚴密的結構性否定證明 。利用平方差公式與絕對奇偶律，我們揭示了根基值積 $rad(ABC)$ 與數值 $C^2$ 之間存在巨大的量級鴻溝 。當指數 $N$ 趨向無窮大時，$q$ 值展現出發散性，證明該猜想不成立。