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The Quantum Arrow of Time: Why Does Time Flow in One Direction?

  • Aishu Kesavan
  • 5 days ago
  • 7 min read

By Aishu Kesavan




Introduction

Time is an undeniable part of our experience—we remember the past, live in the present, and anticipate the future. But why does time flow forward and not backward?


In fundamental physics, most laws work the same whether time moves forward or backward. However, in everyday life, we only observe time moving in one direction. This is known as the "arrow of time", and physicists have been trying to explain it for over a century.


Could quantum mechanics hold the key to understanding time’s direction? Let’s explore.



  1. The Thermodynamic Arrow of Time: Why Can’t You Unbreak an Egg?


Ever dropped an egg? You probably saw it splatter into a gooey mess. But have you ever seen the shattered pieces jump back together into a perfect egg? Nope. That’s because of the Second Law of Thermodynamics


ΔS ≥ 0 


Where:


  • S is entropy (disorder in a system).

  • ΔS is the change in entropy over time.


The Second Law of Thermodynamics states that the total entropy (disorder) of a closed system increases over time and never decreases naturally. As system evolve, the microscopic arrangement becomes more disordered, making time’s forward direction observable. This explains why heat flows from hot to cold, why broken objects don’t spontaneously reassemble, and why natural processes tend toward chaos. 


This equation shows that entropy always increases, reinforcing the forward motion of time.



  1. The Cosmological Arrow of Time: The Expanding Universe

Time’s one-way flow might also be linked to the expansion of the universe. At the moment of the Big Bang, the universe started in an extremely hot, dense, and low-entropy state. As it expanded, entropy increased, leading to large-scale structure of the cosmos. Since the universe continues to expand, entropy keeps rising, reinforcing the forward flow of time. But here’s a wild thought: What if the universe eventually stops expanding and starts contracting? Several theories suggest that if the universe undergoes a Big Crunch (a scenario where expansion reverses and everything collapses back into a dense state), time might also reverse.




This timeline of the Universe shows how, from a Planck-scale region of space that possessed an inflationary state, the properties of the hot Big Bang were set up beforehand. Once the Big Bang occurs, our Universe becomes filled with a primordial particle soup, which evolves into the atoms, stars, galaxies, and large-scale structure we're familiar with today. However, unanswered questions about inflation still remain.


Credit: Ben Gibson/NASA/Pablo Carlos Budassi/Big Think



Theories on Big Crunch

1. The Tolman Recurrence Theorem (Cyclic Universe Model)

Physicist Richard C. Tolman explored whether a cyclic universe (expanding and contracting repeatedly) could lead to time reversal. However, his work showed that entropy would still increase with each cycle, preventing true time reversal.


2. The Weyl Curvature Hypothesis (Roger Penrose)

Roger Penrose argued that if time were to reverse, the gravitational structures (like black holes) would need to "unform" perfectly, which seems unlikely. Instead, he proposed that a new, low-entropy Big Bang emerges after a Big Crunch, leading to a new cycle of time but without reversing the past.


3. Loop Quantum Gravity & Quantum Bounce Models

Some quantum gravity theories suggest that instead of a singular Big Crunch, the universe undergoes a "bounce", leading to a new expansion phase. In certain interpretations, the arrow of time could reset, or even reverse, in the new expanding phase.


Current View

Most physicists believe that entropy continues increasing even in a collapsing universe, meaning time would still move forward. While time reversal remains an intriguing idea, there’s no experimental evidence to confirm it yet. 



  1. The Quantum Arrow of Time: Does Time Only Exist When We Look?


Classical physics says the universe follows strict rules. But quantum mechanics? It plays its own bizarre set of laws. The Quantum Arrow of Time suggests that time’s flow might be tied to observation and measurement in quantum mechanics. In the quantum world, particles exist in superposition—multiple states at once—until they are observed, forcing them to take a definite state (wavefunction collapse). This process is irreversible, whereby some physicists are arguing to define the direction of time. If no observation occurs, could time itself be meaningless? Some interpretations, like the Quantum Measurement Problem, hints that time’s arrow may emerge from how we interact with reality. In essence, does time only move forward because we are constantly "watching" the universe unfold? 





  1. The Gravitational Arrow of Time: Does Gravity Set the Flow?


The Gravitational Arrow of Time explores whether gravity itself dictates time’s forward direction. Unlike quantum mechanics, which governs the microscopic world, gravity shapes the structure of the universe, influencing the movement of galaxies, stars, and planets. The connection between gravity and time emerges from general relativity, where gravity is not just a force but a warping of spacetime. In an expanding universe, matter starts from a relatively smooth, low-entropy state and clumps together over time under gravitational attraction, forming structures like stars and black holes. This gravitational clustering increases entropy, reinforcing the forward direction of time


Figure shows the comparison of the Hartle-Hawking state and the standard big bang singularity model 
Figure shows the comparison of the Hartle-Hawking state and the standard big bang singularity model 

The Hartle-Hawking state challenges the traditional Big Bang singularity by proposing that time did not begin at a single point but instead emerged smoothly from a quantum state, like the surface of a sphere with no sharp edges. This contrasts with the standard Big Bang model, where time has a clear starting point at t = 0. In both models, however, time still moves forward due to the increase in entropy as the universe expands. While the Hartle-Hawking approach removes the singularity, it does not reverse time’s direction—suggesting that even in a quantum universe, time’s arrow is tied to the unfolding structure of spacetime itself.



  1. The Psychological Arrow of Time: Is It All in Your Head?


The Psychological Arrow of Time refers to our perception of time’s flow, which may not be an inherent property of the universe but rather a result of how our brains process information. We remember the past but not the future, creating the illusion that time moves forward. This asymmetry aligns with the Thermodynamic Arrow of Time, as memories are formed by physical processes that increase entropy in the brain. Neuroscientists suggest that our sense of time arises from the way we store and retrieve memories, making the passage of time feel linear. Some theories propose that if our brains were wired differently—or if entropy worked in reverse—our experience of time might be completely different. While physics describes time as a dimension that could flow both ways, our subjective experience of time’s arrow might simply be a trick of the mind rather than a fundamental rule of the universe.




Quantum Explorations :

  1. Quantum Time Reversal: IBM’s Quantum Computer Experiment;

In 2019, a team of researchers using IBM’s quantum computer conducted an experiment that simulated the reversal of time for a single quantum particle (an electron-like qubit). The experiment was based on the principles of quantum mechanics and wavefunction evolution.


How It Worked:

  1. Quantum Superposition & Evolution: In a normal quantum system, particles exist in a superposition of states and evolve forward in time according to the Schrödinger equation.

  2. Wavefunction Reversal: Instead of letting the system evolve normally, researchers applied a special algorithm that effectively reversed the quantum state, restoring the qubit to its past state, as if time had moved backward.

  3. Successful Time Reversal: In 85% of cases, when using only two qubits, the system returned to its earlier state, mimicking time reversal on a microscopic scale.


Limitations:

  • As more qubits were added (increasing system complexity), errors increased, making successful time reversal less likely.

  • This was not actual time travel but rather a mathematical manipulation of a quantum system, simulating how a quantum state might evolve backward in time.

  • At macroscopic scales, entropy (the Second Law of Thermodynamics) prevents large systems from reversing time, making this effect impossible for real-world objects.


  1. Closed Timelike Curves (CTCs) in General Relativity

In Einstein’s theory of General Relativity, time is not absolute but is intertwined with space, forming spacetime. Under extreme conditions, certain solutions to Einstein’s equations allow for Closed Timelike Curves (CTCs)—hypothetical paths in spacetime that loop back on themselves, theoretically allowing time travel.


  1. Wormholes as Time Machines


  • Einstein-Rosen Bridges (Wormholes) are shortcuts through spacetime that could, in theory, connect different points in time.

  • If one end of a wormhole experienced extreme time dilation (e.g., near a black hole) while the other remained in normal spacetime, an observer could enter the wormhole and emerge in the past.

  • However, such a wormhole would require exotic matter (negative energy) to stay open, which has not been proven to exist.


  1. Black Holes and Time Dilation


  • According to relativity, time slows down in strong gravitational fields, meaning a person near a black hole would experience time much slower than someone far away.

  • While this is not true time reversal, it is a form of time manipulationsomeone orbiting a black hole might experience a few hours while thousands of years pass elsewhere.


Limitations & Paradoxes

  • The Grandfather Paradox: If time travel were possible, one could go back in time and prevent their own existence, creating logical inconsistencies.

  • The Chronology Protection Conjecture (Stephen Hawking): Hawking proposed that nature prevents time travel on macroscopic scales, possibly through quantum effects destroying CTCs before they can form.

  • Energy Requirements: The energy needed to create a CTC or traversable wormhole might be impossible to achieve with known physics.



Conclusion

Time’s one-way flow remains one of the biggest puzzles in physics. While quantum mechanics hints at reversible processes, the macroscopic world obeys the relentless increase of entropy, locking the past behind us. Could the key lie in the act of observation, or is time’s arrow an unbreakable rule of nature? As we push the boundaries of quantum physics, we may one day uncover whether time truly flows forward—or if it’s all in our perception. 




References

  1.  BM Research (2019) ‘IBM Scientists Reverse Time Using a Quantum Computer’, IBM Research Blog. 


  1.  Big Think (2024) ‘The Biggest Questions About The Universe’s Beginning’


  1. Frankline Misango Oyolo, African Leadership College (2022) ‘Alternate Proposal to the Big Bang’s Singularity Theory : The Hartle-Hawking State’


  1. Angelo Bassi, Department of Physics, University of Trieste & National Institute for Nuclear Physics, Trieste Section (2021) 


  1. Hawking, S. (1998) A Brief History of Time. London: Bantam Books. 


  1.  Penrose, R. (2010) Cycles of Time: An Extraordinary New View of the Universe. London: Bodley Head.


  1. Zeh, H.D. (2007) The Physical Basis of the Direction of Time. 5th edn. Berlin: Springer.

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