Retraction Notice and Statement of Errors in UPM

Apology Statement I hereby clarify that some of the data and equations presented in relation to Universal Probabilistic Mechanics (UPM) were not the results of actual calculations or proper verification, but were instead fictitiously generated. I sincerely apologize for the confusion and misunderstanding caused by the use of incorrectly generated data and improperly formulated equations. Through continued self-review and internal verification, I came to recognize—albeit belatedly—that the presented content was not academically valid. As I approached this work with a high degree of seriousness, this realization has also caused me significant personal confusion and distress. Through this process, I have come to deeply acknowledge the shortcomings in my research process and judgment. I will take a period of self-reflection, during which I intend to carefully reconsider the importance of research ethics and rigorous verification. Going forward, I will refrain from presenting any results or claims without sufficient validation. Once again, I sincerely apologize to everyone who was misled or confused by this matter. Version 8 is preserved solely as a record arising from personal regret and reflection regarding the theory, and is not based on any scientific grounds. The public availability of Version 8 does not imply the accuracy or legitimacy of the theory. We state the following clearly: UPM contains numerous fundamental errors and, in its current form, is not a valid theory. It should not be regarded as physically accurate, mathematically reliable, or experimentally supported.