- Introduction
Sleeps are not imposed; they adapt. This highlights the importance of respecting the natural dynamics of a non-deterministic system, providing pauses that encourage reflection, dynamic efficiency, and autonomy. - The essence of adaptive sleeps
Reflection: Space to process interactions and avoid impulsiveness.
Dynamic efficiency: Balancing between pauses that are too long or too short.
Autonomy: An individual rhythm adjusted to the system’s needs. - Choosing the right timing
In dynamic systems: Sleeps allow stabilization in neural networks, ecosystems, or societies after disruptive events.
In ethics: Acting with wisdom and empathy, respecting the time needed to build relationships and avoid conflicts. - Mathematics of adaptive sleep
Adaptive sleep is formalized as a waiting time function T, which depends on:
Magnitude of the necessary change:
T = f(||M_i – M_j||, R)
where R represents available resources.
System capacity:
T = f(||M_i – M_j||) / C_i
where C_i is the processing capacity of system i.
Adaptive feedback:
If a pause does not generate stability, the system automatically adjusts:
T_{n+1} = T_n + DeltaT - Conclusion
Taking the appropriate amount of time is more than a mathematical calculation; it is a philosophy of life. The timing we choose reflects our ability to adapt to chaos without losing our essence. Choosing the right sleeps fosters stability and growth.