It's important to differentiate between classical and quantum systems and understand that they operate according to distinct principles. While both classical and quantum systems have functions within their respective domains, they exhibit fundamentally different characteristics due to the nature of their underlying theories.
In classical physics, which describes the behavior of macroscopic objects, systems are governed by classical mechanics. Classical objects obey deterministic laws, meaning that their future behavior can be precisely determined if their initial conditions are known. They have well-defined properties, such as position and momentum, which can be measured simultaneously with arbitrary precision.
On the other hand, quantum mechanics, which describes the behavior of microscopic particles, introduces probabilistic elements and wave-particle duality. Quantum systems are governed by wavefunctions, which evolve according to the Schrödinger equation. The properties of quantum particles, such as position and momentum, are described by probability distributions called wavefunctions, rather than precise values. Additionally, quantum mechanics introduces the concept of superposition, where particles can exist in multiple states simultaneously, and entanglement, where particles can be linked in non-local correlations.
Given these fundamental differences, it is not necessary for classical and quantum systems to have the same characteristics to be correct. Each theory provides an accurate description of its respective domain of applicability. Classical physics accurately describes the macroscopic world, while quantum mechanics accurately describes the microscopic realm. Both theories have been extensively tested and confirmed through experiments and observations.
It is worth noting that there are attempts to bridge the gap between classical and quantum theories, such as the field of quantum mechanics, which explores the behavior of larger systems and seeks to understand the transition between the classical and quantum realms. However, at present, these areas of study are still under active research, and a complete unification of the two theories is yet to be achieved.