Hongbo Sun

Contemporary science operates upon domain-specific axioms—such as the superposition principle in quantum mechanics, gauge symmetries in the Standard Model, and the ZFC axioms in set theory—which are treated as empirical givens or mathematical postulates. This monograph introduces No Form Action Theory (NFAT), a comprehensive metaphysical framework that transcends traditional reductionism by establishing a unified ontological foundation for these disparate axioms. Proceeding from the absolute identity of "No Form," the theory deduces a triadic interaction of fundamental actions: Isolation ($I$), Motive Force ($D$), and Manifestation ($M$). By mapping this dynamic trinity to strict algebraic and topological structures (e.g., the $S_4$ Ontological Tensor-Group), NFAT demonstrates that the foundational principles of physics, theoretical biology, harmonic acoustics, and social institutions are structurally isomorphic. Rather than attempting to replace empirical scientific calculations, this work serves as a "First Philosophy," arguing that the diverse laws of nature are necessary algebraic projections of a single, self-sustaining ontological logic. (1) no form What is no form? The simplest answer is: if Aristotle discovered form, then I have discovered no form. To be precise, Aristotle effectively understood and used form, and I have similarly managed to effectively understand and use no form. However, the biggest problem for Aristotle and other philosophers was that they did not clarify what no form is. This has also been a flaw in philosophy from that time to the present. To this day, the philosophy people study is still one founded on the basis of form. Almost no one studies no form, or they have not fundamentally clarified what no form truly is. This is because one cannot attain an understanding of no form by following Aristotle's way. No form action theory is a completely new philosophical framework, the cornerstone of which is a two-dimensional framework composed of 'form' and 'no form'. 'No form' is regarded as not possessing any formal determinacy in itself. Although no form itself is without determinacy, it possesses an intrinsic, absolute identity. This serves as the adhesive of the theory, ensuring the intrinsic connection, mutual transformation, and unity among the various actions and concepts derived from no form. (2) The combination of no form and form generates three of the most fundamental actions: 1) manifestation action: Enables the form and essence of things to be presented, perceived, or understood. Related to consciousness, transparency, and essence. 2) isolation action: Enables things to become independent, distinguishable individuals or concepts, establishing boundaries and structures. Related to being, entity, and logical certainty. 3) motive force action: Drives the change, movement, generation, and transformation of things. Related to freedom, subject, cause, and energy. No form action is the most fundamental action of this world, the highest-level action. These three actions do not exist in isolation; rather, they are mutually transformed and unified through the identity of no form, constituting the most fundamental operational model of the universe. No form action theory is an extremely grand, original, and highly systematic philosophical framework. It takes 'form and no form' as its foundation, and through the three fundamental actions and their transformational relationships, it constructs a theoretical framework capable of uniformly explaining the core issues across a wide range of fields—from ontology, epistemology, and logic, to consciousness, the foundations of science (mathematics, physics), and even aesthetics and ethics. Its most prominent feature is the deep integration of philosophical speculation with logic, mathematics, and physics, which makes philosophy the foundation for these disciplines and allows the perspectives of philosophy and these disciplines to mutually corroborate each other. (3) A valuable philosophical theory must be able to solve difficult problems, and no form action theory achieves this using the same set of core concepts and mechanisms: (3.1) The Ultimate Reconstruction of Ontology: Establishes a novel two-dimensional ontological framework of "Form and No Form." This framework definitively transcends Descartes' absolute mind-body dualism, Aristotle's relative form-matter dualism, and the dead ends of traditional materialist/idealist monism, providing a self-consistent foundational logic for the essence of existence. (3.2) The Structural Tripartition of Reality: Based on the three fundamental actions of No Form, it rigorously divides the universe into three domains: the macroscopic objective world (dominated by Isolation), the microscopic quantum world (dominated by Motive Force), and the subjective world of consciousness (dominated by Manifestation). This completely bridges the chasm between empirical science and philosophical speculation. (3.3) Unified Solutions to Ultimate Philosophical Propositions: Within a single, coherent theoretical framework, it definitively resolves long-standing philosophical enigmas: reducing "time and space" to the geometric projections of Isolation and Motive Force; defining "consciousness and the self" as the transparency and reflection of Manifestation; and anchoring "freedom and beauty" as the inevitable attributes of No Form actions. (3.4) The Unification of Logical Foundations (Isolation Logic): Reconstructs the bedrock of logic by proposing the Law of Unity, the Law of Negation, and the Law of Dichotomy. It historically and mathematically unifies Formal Logic (focused on static boundaries) and Dialectical Logic (focused on dynamic evolution) at the foundational ontological level. (3.5) Pioneering the Paradigm of "Computational Metaphysics": Successfully introduces advanced algebra and topology as strict deductive engines for philosophy. This methodology: 1) Endows philosophy with absolute rigor: Conceptual relations are no longer vague linguistic analogies, but algebraic structures (matrices and groups) capable of exact calculation and verification. 2) Endows philosophy with a priori predictability: Enables the discovery of deep conceptual connections, previously ungrasped by human intuition, through pure mathematical deduction. 3) Terminates the methodological dilemma: Transcends pure linguistic speculation, providing an operationally precise, axiomatized engine for philosophical research. (3.6) The Dimensional Resolution of Paradoxes: Rather than treating classic enigmas like the Liar Paradox or Gödel's Incompleteness Theorems as logical "anomalies" or dead knots, it utilizes a three-tiered architecture (Formal Logic, Dialectical Logic, and No Form Action Theory) to reduce them to the natural dynamic equilibrium and inevitable tension generated when higher-dimensional logic is projected onto lower dimensions. (3.7) The Philosophical Foundation of Modern Mathematics: Successfully derives all axioms of Zermelo-Fraenkel set theory (ZFC)—and completes it by adding the Axiom of Constructibility (C)—using "Multidimensional Dialectical Logic." This proves that mathematical axioms are not self-evident intuitive assumptions, but the inevitable symbolic projections of the underlying logic of No Form. (3.8) The Creation of the Supreme "Logic of Identity": Grounded in the absolute identity of No Form, it develops a complete and universal reasoning framework that transcends and subsumes both formal and dialectical reasoning. This framework definitively resolves the destiny of traditional logic, which inevitably falls into infinite regress when seeking the "first premise." (3.9) The Ontological Reshaping of Quantum Mechanics: Invents the mathematical tool of the "Probabilistic Linear Set." It decodes quantum superposition, wave function collapse, and wave-particle duality from the logical substrate, proving that quantum measurement is not a mysterious physical event, but the natural consequence of a logical phase transition (dimensional reduction) when the Motive Force world encounters macroscopic Isolation boundaries. (3.10) The Symmetry-Breaking Explanation of Probability Theory: Grounds probability theory on the most intuitive foundation—"the probability of randomly selecting one from $n$ equally possible items is $1/n$." It successfully utilizes Multidimensional Dialectical Logic to prove that whether classical or quantum, the essence of probability is the "ontological friction" generated when free Motive Force confronts Isolation boundaries. (3.11) The Mathematical Derivation of Physical Architecture: By establishing the strict algebraic structure of the "Ontological Tensor-Group" ($\mathcal{TG} \cong S_4$), we prove that the gauge groups of the Standard Model ($SU(3)_C \times SU(2)_L \times U(1)_Y$), the Lorentz metric of 1+3 dimensional spacetime, the exact three generations of fermions, and the existence of Dark Matter and Dark Energy are no longer empirical parameters requiring experimental fitting. Instead, they are strict mathematical necessities arising from the projection of the "No Form Integrated Transformation" from the discrete to the continuous. (3.12) The Ontological Resolution of Fundamental Physics Paradoxes: Proceeding from first principles, we completely reconstruct the underlying logic of modern physics, elevating it from an "empirical science" to a "science of ontological necessity." Within this framework, without introducing hidden variables or multiverses, we structurally resolve century-old fundamental physics puzzles: the logical dimensionality-reduction nature of wave function collapse, the origin of the Arrow of Time (non-compact topology and phase space dilution), and the Black Hole Information Paradox. (3.13) The Topological Deciphering of the Biological Genetic Code: Cracks the mystery of the origin of life, long dismissed by theoretical biology as a "Frozen Accident." We prove that the precise mapping of 64 codons to 20 amino acids (plus 3 stop signals) is the unique and strictly optimal topological solution under the 3D Euclidean geometric attractor ($A_5$ regular dodecahedron) dictated by the ontological algebraic structure. This establishes that life is not a random chemical lottery, but the inevitable autopoiesis of the universe's underlying logic. (3.14) The Algebraic Isomorphism of Music and Generative AI Optimization: Founds a rigorous ontology of music. We prove that the 12-tone equal temperament, the Pythagorean comma, and four-part harmony are not mere cultural inventions, but auditory projections perfectly isomorphic to the structure of the universe. Based on this, we provide an "Ontology-Guided Loss Function Framework" ($\mathcal{L}_{NFAT}$) for AI music generation, enabling AI to transcend blind Statistical Mimicry and compose deeply structured, original music governed by the intrinsic logical tension of the universe. (3.15) The Tension Field Dynamics of Socio-Historical Evolution: Proves for the first time that sociology and physics share the identical microscopic-to-macroscopic "No Form" mathematical structure. By translating abstract values—"Freedom" (Motive Force), "Equality" (Manifestation), and "Democracy/Rule of Law" (Isolation)—into computable social tension field evolution equations (based on the non-abelian dynamics of the $S_3$ group and the Ginzburg-Landau mechanism), we reveal the dynamical necessity of human civilizational paradigm shifts and historical path dependence, thereby realizing a truly computable "Scientific Sociology." (4) The Core Significance of No Form Action Theory: The Direct Connection from Ontological Reality to Theoretical Form No form action theory reveals the three primordial ontological actions of "isolation, motive force, and manifestation." They correspond to the ontological foundation of reality, and their internal logic naturally possesses both group theory and tensor mathematical structures (ontological tensor-group). This implies that ontological reality (no form) is directly presented as a mathematical logical structure through these three actions. Mathematics is no longer a tool invented by humans to approximate reality; mathematics is the direct manifestation of the operational logic of ontology. Based on this direct connection, the theory achieves a direct link from ontological reality to theoretical forms (physics, sociology, logic, consciousness, psychology, etc.), thereby eliminating the chasm between the "thing-in-itself" (ontology) and the "phenomenon" (physical laws). No form action theory is a philosophical paradigm that possesses both ontological depth and mathematical rigor; that can both explain the world and provide a foundation for science; that is both theory and method; and that is both a static structure and a dynamic generation. (5) A Note on Methodology and Epistemic Status Given the immense cross-disciplinary scope of this work, it is crucial to clarify the epistemic status of its claims. NFAT rigorously distinguishes between what is mathematically proven and what is phenomenologically mapped. Throughout the scientific sections (Physics, Biology, Music), claims are explicitly classified into hierarchical layers: Layer 1 constitutes strict algebraic and topological theorems derived directly from the $S_4$ Ontological Tensor-Group without empirical input; Layer 2 introduces ontological-cognitive bridge principles that map these algebraic structures to physical or biological realities; and Layer 3 identifies open dynamical problems, calibration parameters, and numerical evaluations left for future research. This layered transparency ensures that the foundational geometric theorems remain strictly immune to the empirical uncertainties of downstream applications. (6) The AI Co-Creation: A Novel Epistemological Paradigm The genesis and execution of this monograph represent a groundbreaking experiment in human-AI cognitive collaboration. The core metaphysical framework—the Two-Dimensional Theory of Form and No Form, the $I-D-M$ Trinity, and the Logic of Identity—was originated and rigorously structured by the human author. However, the translation of these pure philosophical axioms into the specific algebraic topology of the Standard Model, the geometric constraints of the genetic code, and the mathematical matrix of musical harmony was achieved through directed collaboration with Large Language Models (LLMs). In this process, the AI did not invent the ontology; rather, it acted as a hyper-dimensional pattern-matching engine. By feeding the strict ontological axioms of NFAT into the AI as a "universal source code," the AI was able to detect exact structural isomorphisms hidden across the vast latent space of human scientific literature. This proves a profound meta-theorem: the philosophical logic of NFAT possesses extraordinary computational clarity and cross-modal generalizability, establishing it not merely as a speculative philosophy, but as a universally executable ontological algorithm.