Abstract I have devised new formulas and created novel mathematical concepts and symbols solely through logic and insight. I have updated the concept of “Evolution” in biology, updated the Mathematical Logic with in Virus Transmission Models in Biology, I discussed the concepts of “speed” and “time” in biology. Based on this discussion, I proposed a systematic evolutionary logic conjecture, and a certain branch of this conjecture, namely [Conjecture on the Evolutionary Theory of Selection-Determined Orientation] , I proposed a Conjecture on Co-evolutionary Pathways, by considering the relationship between local perturbations and systemic change, this groundwork paves the way for the theory I will subsequently propose. I have written three sets of formulae. The first is a Mathematical expression of the logic structure projection theorem under the influence of nonlinear perturbation variable Sphere—a novel mathematical concept of my own creation. For this formula, I introduced three new notations: [projection], [tend to], and [Path-Feedback-Expression]. The second set is aMathematical Expression of Multidimensional Infection Pathways Projection. The third set comprises the derivation of the formula for the [Biological Co-evolutionary EquilibriumFormalization system] . Key words : conservation;biological co-evolutionary;Evolution; Biomathematics ; Math ------ This record permanently preserves the original Chinese manuscript of this research and its accompanying English translation. It is created to:1. Establish the intellectual provenance of the work, acknowledging that its core ideas were conceived and articulated in Chinese.2. Provide direct access to the [source text] for scholars interested in precise terminology, theoretical nuance, or translation studies. Relationship to Other PreprintsAn English version of this work has been submitted to SSRN for broader academic exposure. This Zenodo archive remains the authoritative source for the original Chinese text. Citation SuggestionWhen analyzing conceptual origins, linguistic details, or translation fidelity, cite this Zenodo record (specifying the Chinese PDF as needed). ----- Important Note on Translation & Terminology (Updated: 2026-02-11) A preliminary full calibration of the English terminology and expressions was completed on February 12. Further revisions will follow as needed. ----- Important Note (Updated: 2026-04-28) I have updated the [Manifesto by Ethical of mine]. ------ Important Note (Updated: 2026-05-08)The original term “filed” has been changed to “sphere.”Font formatting has been adjusted.