The NNO operator: Double Negation and Oscillation as Informational Conditions for the Stabilization of Observed Reality

Summary: Introduction of the NNO operator, a transversal informational mechanism describing how observer-relative reality emerges as a stabilized invariant under exclusion and phase alternation. This pre-print isolates a minimal stabilization operator underlying the persistence of informational structures across logic, physics, cognition, learning systems, and biological regulation. Description: This manuscript isolates the NNO stabilization operator (Negation–Negation–Oscillation), a conceptual mechanism describing the conditions under which informational configurations become stable, persistent, and readable as physical reality relative to an observer. Developed within the framework of the Universal Theory of Information (TUI), the NNO operator does not introduce a new physical model or predictive formalism. Instead, it identifies a transversal ontological mechanism already implicit across multiple disciplines, governing how invariant structures emerge from recursive informational dynamics. The core claim of this work is that stability does not arise from affirmation or accumulation alone, but from repeated confrontation with incompatible alternatives. Direct interaction necessarily introduces orientation and polarity, which in turn generate a conjugate alternative. A single negation therefore leaves an active ambiguity. Stabilization relative to an observer thus requires two inseparable mechanisms: Double negation, understood as a two-pass exclusion process in which a configuration must remain coherent after confrontation with its own logical inverse relative to the observer. Oscillation, understood not as periodic motion but as phase alternation across successive readings, neutralizing dependence on origin, scale, and monotonic accumulation. Together, these mechanisms define an operator through which reality emerges as what remains invariant under repeated phase inversions and exclusion cycles, rather than as what is merely possible or locally selected. The manuscript shows that this stabilization logic appears independently in: Logical systems based on exclusion (NAND, NOR, intuitionistic logic) Signal processing and Fourier phase integration Renormalization and universality in physics Quantum decoherence and phase scrambling Machine learning convergence and loss-driven exclusion Recursive dynamical systems and fractal invariants Biological regulation through oscillatory turnover and selective instability Semantic stabilization in language and cognition This work serves as a conceptual foundation for subsequent studies, notably for observer-dependent residual phenomena such as phase- and orientation-related invariants. In particular, quantum spin is addressed in a parallel study. The NNO operator thus serves as a structural bridge between the ontological framework of the TUI and its concrete physical manifestations. The paper further examines antimatter as a necessary boundary case for any stabilization operator, showing that NNO stabilization remains valid under inverted informational orientation. In this framework, antimatter corresponds to the same informational invariant stabilized in an opposite orientation, consistent with CPT symmetry and established quantum interpretations such as the Feynman–Stueckelberg viewpoint, without invoking any notion of backward time travel. The NNO operator is presented as a minimal ontological condition for persistence, not as a replacement for existing physical theories. It provides a unifying informational reading of why invariant structures appear, why scale-dependent contributions are eliminated, and why reality remains stable despite an infinite space of possibilities. This work is intended to stimulate future formalizations, mathematical implementations, and independent developments across physics, information theory, and complex systems research. Relation to other work This article builds directly on "The Universal Theory of Information (TUI): Emergence of Physics from Informational Dynamics" (https://doi.org/10.5281/zenodo.15106945).It naturally extends to "Spin as a Signature of Information Exclusion" (Doi: 10.5281/zenodo.18443042).It can be read independently, but reaches its full coherence when considered as part of the TUI–NNO–SPIN conceptual sequence. About the author Mathieu Valentin Rondet is an independent researcher working at the intersection of informational ontology, physics, and complex systems. He holds two master’s degrees in molecular and developmental biology, genetics, and biochemistry (earned in France and the U.S.), and has spent over two decades designing physical simulations, procedural dynamics, and interactive systems for virtual environments. His work combines biological information studies, structural logic, and information-based modeling to explore observer-relative stabilization mechanisms and their implications for fundamental physics.