No, time itself does not have a wavelength in the same way that particles or waves do. Time is considered a fundamental dimension in physics, and it is not typically associated with a specific wavelength.
The quantum-classical boundary, often referred to as the "quantum-classical divide" or the "quantum-classical transition," arises from the fundamental differences between the behavior of quantum systems and classical systems. In the realm of quantum mechanics, particles and systems can exhibit wave-like properties and exist in superposition states, while in classical physics, particles are described by definite values for properties such as position and momentum.
The quantum-classical boundary is not solely determined by the size of the particles involved. While it is true that quantum effects become more noticeable at the microscopic scale, the transition from quantum behavior to classical behavior is a complex and multifaceted phenomenon that depends on various factors, such as the degree of isolation of the system, the strength of interactions with the environment, and the temperature.
In practice, the classical description of macroscopic objects is often adequate because the quantum effects become negligible and can be effectively "washed out" or averaged over due to the large number of particles and their interactions. However, it is important to note that even macroscopic objects ultimately obey the laws of quantum mechanics, and quantum effects can become relevant under certain conditions.
Therefore, while the size of particles can play a role in the manifestation of quantum behavior, it is not the sole determining factor for the quantum-classical boundary. The boundary is more accurately understood in terms of the system's interaction with its environment and the emergence of classical behavior as a result of decoherence and the loss of quantum coherence.