Quantum Week: Top 5 Unsolved Problems In Quantum Mechanics.

So today is the last day of our Quantum Week. Instead of any equation or principle, I thought of sharing the most important unsolved problems in quantum mechanics. Quantum mechanics is over 119 years old and we have indeed come a long way. The theory has stood all the tests through time and it is, along with general relativity, on of the two pillars of physics. Yet, there are a few unsolved problems in this great theory that must be mentioned. We will discuss 5 most important ones in this last article.

5. Interpretation of Quantum Mechanics

In quantum mechanics, the fundamental parameter of a quantum system is its wavefunction. Unlike classical mechanics, a particle’s position cannot be described exactly. You can tell where the particle probably is. To define a position of a particle without measurement, we use probability because it can be anywhere. However, when you measure a quantum system, the wavefunction or the probability spread collapses. What constitutes a “measurement” which apparently causes the wave function to collapse into a definite state?
Also Read: The Wave Function and the Schrodinger Wave Equation (Day 3)

The wave function collapse. Notice how, before the measurement, wave function was a probability spread. After measurement, it collapsed into a single eigenstate.

4. The Physical Information Loss

Do black holes exist? Is the phenomenon of wavefunction collapse true? This is the puzzle in quantum mechanics. What happens to the quantum information that goes inside a black hole (if it exists). What information is lost when we measure a quantum system and collapse a wavefunction into a particular eigenstate.

The existence of black holes is a great puzzle in physics. This is because of the flawed model of black holes, inconsistent with a bundle of experimental observations. Alternatives like Eternally Collapsing Objects (ECO) cover those flaws. However, it will take a lot of time for the pop science to accept such models.

3. Pauli’s Exclusion Principle

What is the physical reason behind the existence of the exclusion principle? What can’t two electrons (fermions to be specific) be in the same quantum state? We do know the mathematical reason behind this but the physical reason is still unknown, even after about 100 years. A rigorous mathematical reason given by physicists is: “The wavefunction of a fermion is anti-symmetric under the permutation operator”. The real intuitive reason is still unknown. (Source: NASA Website)
Also Read: Pauli’s Exclusion Principle and its applications in astronomy.

Any number of Bosons can occupy the same quantum state. In fact, all can come down to the lowest energy level and form Bose Einstein condensates as shown. This is not true for Fermions because of the exclusion principle.

2. Magnetic Monopoles

This problem involves particle physics and quantum mechanics both. Magnetic monopoles are the magnetic charges that would give rise to magnetic field just like an electric charge gives rise to electric field. We know that when we cut a magnet into two pieces, we don’t get a separate north and south pole. Instead, we get two smaller magnets with their own pairs of north and south poles. Did magnetic monopoles exist in the past when the energy of the universe was very high? If yes, where are they now? In fact, Paul Dirac showed the existence of such types of magnetic monopoles.
Also Read: 5 Hypothetical Particles, The Discoveries of Which Would Change The Course of Science.

The discovery of magnetic monopoles will make the Maxwell’s equations of electrodynamics quite symmetric.

1. Quantum Gravity

Can quantum mechanics and general relativity be combined into a fully consistent theory? Is the spacetime continuous or discrete? Would a new consistent theory involve graviton as a force carrier of gravity? These are a few questions that a theory on quantum gravity must answer.

Quantum mechanics considers time as an absolute parameter in the background but relativity has a different story to tell about time. How will they be reconciled?

This brings an end to the Quantum Week series. I hope you learnt something in this series. Please give your feedback in the comments section of this post on Facebook. Do suggest some topics for a new series. Good day!

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