On the Response of Proteinoid Ensembles to Fibonacci Sequences

This work investigates the integration of Fibonacci patterns
and
Golden Ratio principles into proteinoid-based systems, connecting
fundamental mathematical concepts with contemporary biomimetic approaches.
Proteinoids are thermal proteins that can self-assemble and have enzyme-like
capabilities. They provide a distinct platform for biomimetic information
processing. Our study examines the impact of integrating Fibonacci
sequences and the Golden Ratio (ϕ = 1.618) into the design and
synthesis of proteinoids on their structural organization and response
characteristics. We developed two categories of stimuli: auditory
signals generated using frequencies derived from the Fibonacci sequence,
and electrical patterns that correspond to the proportions of the
Golden Ratio. The proteinoid microsphere assemblies were subjected
to these stimuli, and their electrical and structural responses were
recorded and analyzed. The results indicate that proteinoid systems
reveal unique reactivity to acoustic stimuli based on the Fibonacci
sequence, exhibiting heightened sensitivity to particular combinations
of frequencies and demonstrating nonlinear amplification effects.
The proteinoid assemblies exhibited distinctive temporal dynamics
and emergent oscillatory behaviors when exposed to voltage patterns
inspired by the Golden Ratio, which were not detected with ordinary
input signals. These findings provide opportunities for developing
advanced bioinspired information transfer and security systems and
might improve our understanding of information processing in early
chemical systems.