A Self-Evolving Cryptographic Protocol Based on Time Wave Field Dynamics

Abstract

A Self-Evolving Cryptographic Protocol Based on Time presents a new vision of cryptography in which security does not depend on stored keys or predefined algorithms but instead arises from the natural evolution of a dynamical system. The paper introduces a framework where time itself is modeled as an evolving physical field, and the encryption key emerges continuously from the changing phase of this field. In this approach, the key is never fixed, never stored, and never fully reproducible, because it exists only as a momentary state of an evolving process. The work shifts cryptography from a purely mathematical discipline toward a physical and dynamical one. Traditional cryptographic systems rely on computational hardness assumptions such as factoring large numbers or solving lattice problems. By contrast, this research embeds security within nonlinear field dynamics, making encryption dependent on global system behavior rather than discrete algorithms. Two communicating devices remain synchronized by sharing an initial configuration, allowing them to generate identical keys through parallel evolution while preventing external observers from reconstructing the same information from partial measurements. The study develops the idea further by interpreting the key as an observable within a quantum field framework. The evolving field exhibits sensitivity to initial conditions and chaotic behavior, meaning that even extremely small uncertainties grow rapidly over time. Because of this instability, attempts to predict or reconstruct the key from intercepted data become fundamentally infeasible. The protocol therefore achieves continuous key renewal and intrinsic forward secrecy, since past keys cannot be recovered even if the current system state becomes known. Beyond theoretical formulation, the paper connects cryptographic security with concepts from quantum theory, operator dynamics, statistical physics, and complexity theory. The reconstruction of the encryption key is shown to correspond to solving extremely difficult inverse problems that resemble known hard computational tasks. As a result, security is argued to arise simultaneously from physical unpredictability, dynamical chaos, and computational complexity. The proposed framework represents a transition from static encryption toward living cryptographic systems whose security evolves with time itself. By unifying ideas from physics, information theory, and nonlinear dynamics, the research suggests a new class of cryptographic methods designed to remain secure even in the presence of future quantum computing technologies.