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Formulated by the German physicist and Nobel laureate Werner Heisenberg in 1927, the uncertainty principle states that we cannot know both the position and speed of a particle, such as a photon or electron, with perfect accuracy; the more we nail down the particle's position, the less we know about its speed and vice versa.
If you compare quantized energy levels, to the hypothetical energy levels that would be expected using continuous mathematical functions, quantized places a narrower limit on what is possible. Not all states are possible in the quantum world.From a practical POV, quantum saves time. In other words, if we needed a given value to appear, so we can go from step 1 to step 2, by placing quantum restrictions; gaps, we will reach the needed final state sooner, throwing dice, compared to if all all states were continuous and possible. Quantum gaps allow the universe to evolve faster; saves time or speeds up evolution. The affect is similar to loading dice. If we place loads in a set of dice, the odds will increase for certain outcomes. Other outcomes become less likely, since they are in the gaps between the quanta. This makes a purely random universe much more predicable and deterministic; betting odds improve.
Entropy is a thermodynamic quantity representing the unavailability of a system's thermal energy for conversion into mechanical work, often interpreted as the degree of disorder or randomness in the system.
.In thermodynamics, state variables, also known as state functions, are properties of a system that describe its current state and are independent of the path taken to reach that state. Examples include temperature, pressure, volume, entropy, and internal energy. These variables are used to define and characterize the thermodynamic state of a system.
from Wiki;The term relativistic effects was developed in light of the history of quantum mechanics. Initially, quantum mechanics was developed without considering the theory of relativity.[2] Relativistic effects are those discrepancies between values calculated by models that consider relativity and those that do not.[3] Relativistic effects are important for heavier elements with high atomic numbers, such as lanthanides and actinides.[4]Relativistic effects in chemistry can be considered to be perturbations, or small corrections, to the non-relativistic theory of chemistry, which is developed from the solutions of the Schr?dinger equation. These corrections affect the electrons differently depending on the electron speed compared with the speed of light. Relativistic effects are more prominent in heavy elements because only in these elements do electrons attain sufficient speeds for the elements to have properties that differ from what non-relativistic chemistry predicts.[5]