There is no known direct connection between the hydrodynamic state of quantum fields and the golden ratio. The golden ratio, also known as phi (φ), is an irrational number approximately equal to 1.618. It has intriguing mathematical properties and appears in various natural and artistic contexts, but it does not have a direct connection to the behavior of quantum fields or hydrodynamics.
Quantum fields and hydrodynamics are subjects of study in physics, but their behavior and dynamics are described by different mathematical frameworks. Quantum fields are described by quantum field theory, which incorporates the principles of quantum mechanics. It deals with the behavior of fields and particles at the microscopic scale, where quantum effects dominate.
On the other hand, hydrodynamics is a branch of physics that describes the macroscopic behavior of fluids, such as the flow of liquids or gases. It is based on classical mechanics and fluid dynamics, which do not directly involve quantum effects.
While both quantum fields and hydrodynamics are fascinating areas of study, and mathematics often reveals unexpected connections, there is currently no established relationship between the hydrodynamic state of quantum fields and the golden ratio.