Dongfang General Entangled Spherical Harmonic Functions

This independent article, based on the Unitary Principle widely applicable to logical verification, resolves spherical harmonic partial differential equations, deriving general entangled spherical harmonic functions far exceeding the range of traditional spherical harmonic functions. The presented bounded infinite solution set demonstrates that normalization conditions cannot determine the eigenset; thus, various traditional spherical harmonic scenarios are not logically necessary inferences. This reveals a long-neglected problem: traditional theories for solving partial differential equations are essentially constructive methods, and the solution sets they provide are often incomplete or even distorted. Furthermore, inferences relying on solutions to specific partial differential equations, such as various wave equations, and their experimental verification conclusions, all require systematic re-examination. The article summarizes the Seeming Principle, which enables scientific logic to avoid, to the greatest extent, expending time and effort on tedious refutations of various so-called experimental verifications for conclusions based on essentially erroneous calculations. In conclusion, a systematic re-examination of how partial differential equations map to physical reality will propel mathematics and natural sciences into a profoundly significant new phase. The independent article was clearly not written for today's corrupt academic system, but born for the great scholars who will be able to truly understand it in the next 500 years.