Certain situations in classical physics exhibit non-deterministic behavior.
Certain systems studied within classical mechanics and nonlinear dynamics exhibit chaotic behavior and extreme sensitivity to initial conditions, effectively resulting in non-deterministic predictability.
The claim states that certain situations in classical physics exhibit non-deterministic behavior. In classical physics, chaos theory demonstrates that completely deterministic equations of motion can yield solutions with sensitive dependence on initial conditions (positive Lyapunov exponents), rendering long-term states practically non-deterministic or unpredictable. Papers 1, 8, and 9 support this by discussing chaos theory, deterministic nonlinear oscillators with sensitive initial dependence, and strange attractors in classical/macroscopic frameworks. Therefore, the claim is well-supported.
Misir A, Hancerli CO. Chaos theory modeling improves olecranodiaphyseal angle prediction from proximal ulnar dorsal angulation in healthy elbows.. 2025. https://doi.org/10.1038/s41598-025-21702-2
Paper 1 demonstrates that classical systems governed by nonlinear dynamics (chaos theory) exhibit sensitive dependence on initial conditions and fractal attractors, which lead to non-deterministic predictive behavior.
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Jhangeer A, Abdelkader A. Multistability, Chaos, and Control in the Deterministic and Stochastic Dynamics of Noise-Driven Nonlinear Oscillators.. 2026. https://doi.org/10.3390/e28020214
Paper 8 confirms that deterministic nonlinear oscillators under certain regimes display chaotic dynamics, extreme sensitivity to perturbations, and complex state distributions.
Abdelkader A, Ehsan H, Jhangeer A. Dynamical and Stochastic Analysis of a Piezoelectric Neuron Model for Intelligent Sensing Applications.. 2026. https://doi.org/10.3390/s26103179
Paper 9 investigates deterministic nonlinear systems displaying high sensitivity to initial conditions and unstable limit-cycle behaviors analogous to non-deterministic properties.
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