This paper introduces the Principle of Manifestation as a philosophical framework designed to resolve the long-standing conflict between preformationism (form is pre-given) and epigenesis (form arises from the formless). The core idea is a crucial distinction: the fundamental types of organization of matter (e.g., inanimate physical matter vs. living matter) are ontologically pre-given. They do not emerge through evolution but rather manifest once the necessary complexity is achieved. In contrast, variations within a type (biological species, social institutions) do evolve through standard Darwinian mechanisms. This synthesis retains all evolutionary data while removing the metaphysical claim that evolution alone can explain the origin of these fundamental types. The principle is supported by empirical research: the CAP formalism in biology views evolution as the actualization of pre-existing potential, and Michael Levin's experiments show that biological form can manifest itself even without complete genetic information. Historically, the idea is rooted in the works of Aristotle (potentiality/actuality), Leibniz, Kant, and Waddington's concept of developmental attractors. The framework has significant implications across disciplines. In physics, it offers an explanation for the fine-tuning of constants. In biology, it explains convergent evolution as inevitable. In the human sciences, it accounts for the independent emergence of similar social and mathematical structures across civilizations. It also provides a common language for psychology, cognitive science, and the philosophy of science, positioning the Principle of Manifestation as a unifying research program for a comprehensive science of reality.