The Fibonacci sequence exhibits unique properties, such as self-similarity and the golden ratio, that align with both discrete and continuous systems.
Incorporating Fibonacci scaling into the DSM could result in discrete spacings in phase space and emergent scales of uncertainty.
The geometric interpretation of uncertainty in the DSM involves oscillatory coupling, golden ratio partitioning, and spiral geometry.
Time evolution in quantum systems could be influenced by Fibonacci intervals, leading to a fractal-like structure and Fibonacci distributions of quantum fluctuations.
Energy levels of quantum systems could follow Fibonacci relationships, and this mathematical framework can be integrated into key quantum principles.
There are physical implications such as experimental signatures, connection to the cosmos, and the prediction of new quantum states.
Philosophically, this approach suggests order in chaos and points to universal constants shaping both the quantum and macroscopic worlds.
Fibonacci-driven uncertainty reimagines quantum mechanics through the lens of the DSM, deepening the understanding of quantum theory and opening new experimental avenues.