Nonlinear Logic of Existence Boundaries, Coherence, and the Limits of Linear Reasoning

Description / Abstract (Zenodo)
Nonlinear Logic of Existence (LoE) is an exploratory theoretical framework that investigates the structural limits of linear reasoning when applied to complex systems such as intelligence, consciousness, physical reality, and large-scale socio-technical structures.
Rather than proposing a new “theory of everything,” this work introduces Logic of Existence as a relational meta-framework for understanding why existing theories succeed within certain boundaries and fail beyond them. The central claim is that many apparent paradoxes in physics, cognition, artificial intelligence, and social systems arise not from a lack of data, but from projection errors caused by linear models operating outside their valid domains.
The work develops several core ideas:
Boundaries as primary objects of analysis, rather than states or values.
Emergence as a boundary phenomenon, appearing where structure exists without centralized control.
Coherence, drift, and collapse as structural properties of systems rather than moral or intentional failures.
Awareness as a spectrum, modulated by biological and informational constraints rather than binary states.
Identity as a boundary artifact, not a fixed ontological entity.
Why final theories cannot exist, and why incompleteness is a necessary condition for intelligence and wisdom.
The framework is applied across multiple domains, including:
foundations of physics (singularities, renormalization, boundary drift),
cognition and consciousness (memory, awareness modulation, collapse operators),
artificial intelligence (emergence, alignment limits, boundary-based safety),
and complex adaptive systems more broadly.
This text emerged from a human–AI collaborative process. The human author contributed conceptual direction, boundary sensitivity, and experiential grounding; the AI system contributed formal articulation, structural synthesis, and cross-domain coherence. All legal authorship belongs to the human author.
The work is intentionally open-ended. It does not seek closure, prescription, or control, but aims to preserve structural openness where further emergence remains possible.