Ultra-chaos: an insurmountable objective obstacle of reproducibility and replication

Published in Advances in Applied Mathematics and Mechanics, 2022

By introducing the concept of ultra-chaos, this paper highlights an insurmountable barrier in scientific reproducibility. It demonstrates mathematically that for certain chaotic systems, achieving exact replication is objectively impossible due to the inevitable and expansive nature of microscopic disturbances.

Recommended citation: Liao, S. & Qin, S. (2022). "Ultra-chaos: an insurmountable objective obstacle of reproducibility and replication." Advances in Applied Mathematics and Mechanics. 14(4), 799-815.
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