Showing posts with label Arrow of time. Show all posts
Showing posts with label Arrow of time. Show all posts

Monday, December 29, 2025

Why We Remember the Past and Not the Future


Why We Remember the Past and Not the Future

When I was a student at Warwick University, this was a topic in my philosophy class. But it's not a question for philosophers; it's physics. Like this.

We should avoid time-laden assumptions. The universe displays an asymmetry between lower-entropy states near the Big Bang and those farther from it. From any particular state, call the past those slices of spacetime nearer to the Big Bang, and the future those farther away. Time, in this geometric sense, is simply the ordering of these slices along the expanding fabric (really the positive entropy gradient) of the universe.

Our question is: why records exist of events closer to the Big Bang but not of those farther from it.

Imagine that yesterday a supernova became visible in the sky. The light from that explosion reached Earth, interacted with our atmosphere and the Earth's surface, and altered the states of countless atoms. Those microscopic changes are, in principle, correlated with the original event, yet they rapidly disperse through further interactions, merging into general thermal motion. The information is effectively lost in the wider thermal randomisation of energy.

When you saw the supernova, however, something different occurred. The arriving photons triggered a cascade of interactions within your sensory system. Neural structures in your brain formed a configuration that encoded features of that event. This configuration can persist through subsequent physical states and can later be retrieved. A memory, in this physical sense, is a subsystem capable of forming and maintaining a structured correlation with some external interaction, preserving that correlation across later states, and retrieving it when required. That low entropy persistent record was created by you generating greater entropy in your environment, of course.

Now consider that tomorrow another supernova will appear in the sky. At this present slice of spacetime, the photons from that explosion have not yet entered your light cone. They have not interacted with you or with the matter surrounding you. The relevant regions of the universe have not yet exchanged information. No physical trace of that event exists in your current environment-state, and therefore no memory could correspond to it.

The difference between what we call past and future arises from this incomplete communication within the universe. Because the cosmos began in a low-entropy condition, its regions are still in the process of exchanging interactions. Not all parts of the universe have yet influenced one another. The network of interactions—propagating within light cones—links some regions while leaving others still disconnected. What we call the past consists of those regions that have already communicated with our present state; the future consists of those that have not.

Memory, therefore, is a local expression of this broader asymmetry. It depends on structured systems—brains, instruments, records—that can retain correlations once interactions occur. We remember the past because its signals have already reached us and have been encoded. We do not remember the future because its signals have not yet arrived.

If, in some remote epoch, the universe reaches thermodynamic equilibrium - its state of maximum entropy - and every region has exchanged all information accessible to it, then no new records can be formed. Patterns will cease to emerge, distinctions will dissolve, and the measure of change we call time will have lost operational meaning in a state of thermalised uniformity. The spacetime metric continues to exist but the possibility of registering the passage of time has disappeared.


Tuesday, February 21, 2017

"From Eternity to Here" - Sean Carroll

Amazon Link

Just finished Sean Carroll's 2011 book, which - after an exhaustive exploration of all other options - locates the origin of 'the arrow of time' in the quantum-fluctuation emergence of super-low-entropy 'baby universes' from a preceding high-entropy de Sitter universe.

Yep, that would be the baby universe in which I'm sitting writing this post.

This may seem extravagant, to explain why eggs produce omelettes but not the reverse, but he refutes all the simpler explanations.

It presently seems unclear, however, whether a de Sitter universe could even make baby universes, absent a better theory of quantum gravity.

Carroll's latest thinking tends in a different direction, suggesting that framing the issue within the spacetime realm may itself be a mistake; the true nature of reality may be Hilbert space with Schrödinger equation dynamics. Spacetime, with its arrow of time, may be emergent.

Strange that the weirdest ideas of modern physics - the MWI, emergent spacetime - seem to be the most plausible.

This is a fine book, and an excellent introduction for the smart non-physicist to general relativity, quantum theory (QM/QFT) and cosmology.

Thursday, January 19, 2017

The quantum-theoretic block universe



Eternalism is not hard to justify.
Yesterday I contemplated my situation and concluded: "This is real, this is now."

Today, when I recollect that scene, I'm inclined to think it was indeed real, and shows the reality of the past (which has not flickered out of existence but is .. elsewhere).

Yesterday, I also thought, "Tomorrow, I will be writing a post."

Today, here I am doing it. For yesterday's me, that shows the reality of the future.
As Frank Sinatra observed, "You can't have one without the other."

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For greater conviction, we can appeal to special relativity. As I wrote in a piece for sciencefiction.com,
"Brian Greene in ‘The Fabric of the Cosmos’ (page 134) considers an alien in a galaxy ten billion light years away, at the edge of the visible universe. Simply by ambulating towards or away from us at 10 mph, the alien’s view of what is happening ‘right now’ on earth swings from 149 years in the past to 149 years in the future."
Still, the block universe is classical and therefore inaccurate. It's necessary to move to quantum theory where, as usual, one needs to take the red pill.

Theoretical physicist Jeremy Bernstein on 'A Quantum Past'.
"In FAPP (For All Practical Purposes) language we have a quantum mechanical system described by a wave function ψ(t), I am  only interested in the time variable.

The wave function obeys a Schrödinger equation with a Hamiltonian H. The formal solution to this equation is ψ(t) = exp(iHt)ψ(0). Throughout I am setting ћ = 1. Thus to recover Ψ(0) from ψ(t) all we have to do is to multiply by exp(-iHt).

Haven’t we then recovered the past? What is all the fuss about? The problem is that there is more to life than the wave function. There are the “observables” which represent what we really want to know about the system. These observables are described by Hermitian operators A. B. C and so on. We can expand ψ in a sum over the orthonormal eigenfunctions of any of these operators. The coefficients in the expansion are related to the probabilities that in a measurement the system will be found to have one of these eigenvalues. This is “Born’s rule” and in FAPP it must be assumed.

To find which of these eigenvalues the system actually has, we must perform a measurement. Stripped to its essence the apparatus that produces this measurement projects out from the sum of eigenfunctions one of them.

After the measurement the rest of the terms in the sum disappear. Using the term of art, the wave function “collapses”. It is at this point that we lose our capacity to reconstruct the past.

Projection operators are singular. They do not have inverses. All the king’s horses and all the king’s men cannot put the wave function back together again.

It was von Neumann in the early 1930’s who first noted that in FAPP mechanics there were two kinds of processes. There were processes that could be described by a Schrödinger equation and there were measurements which could not. He did not, as far as I know, comment on what this implied for retrodiction.

A case in point is an electron described by a spherically symmetric Schrödinger wave. If this electron strikes a detector is does so at a place - a spot. After this happens all trace of the spherically symmetric wave function vanishes.

I have certainly not made a careful search of the literature but among the founding fathers of FAPP I can come up with only two references that deal with the matter of the quantum past.

One is Heisenberg and the other is a paper by Einstein, Richard Tolman, and Boris Podolsky, “Knowledge of Past and Future in Quantum Mechanics” which they wrote in 1931 when Einstein was spending time at CalTech."
Bernstein talks about these two references, and then discusses where he thinks the problem resides, and what is to be done.
"It seems to me that any interpretation of the quantum theory that addresses this [the problem of wavefunction collapse] must have the feature that measurements are simply just another interaction like the rest.

Von Neumann’s notion that there were two classes of interactions one whose time evolution could be described by a Schrödinger equation and one of which couldn’t, has to be abandoned.

I will discuss two proposals for doing this each of which has its adherents and its detractors. On the one hand I am going to discuss what I will call “Bohmian mechanics” a term which David Bohm, who invented this approach , apparently did not like. As far as he was concerned, he was just doing quantum mechanics but in a different way. However nearly everyone else calls it Bohmian mechanics - so will I.

On the other hand, I am going to discuss the “decoherent history” interpretation which Murray Gell-Mann and Jim Hartle have done the most on. Sometimes this is called the “many worlds” interpretation, but not by them. I think that the term “many worlds” is misleading. As far as we know there is one world, the one we live in."
I'm not a fan of “Bohmian mechanics” and insofar as any quantum ontology works for me, it has to be "Many Worlds" (Sean Carroll explains why).

So I'll skip over Bernstein's description of Bohm's view of the quantum past and quote his take on “decoherent histories”.
"In the "Many Histories Interpretation" what indeed is history?

At first sight this might seem to be obvious. All we have to do is to run the chain backwards.

Yes this gives one history but there are others, possibly very many others. The reason is that if all we know is the present state vector there are many paths by which we could have arrived there depending on which initial state vector we started from. We have no way of knowing this from the data we have at hand.

Let us take an example discussed by Hartle - the Schrödinger cat (I can’t resist noting that when I spent an afternoon with Schrödinger in his apartment in Vienna there was no cat). In any event this unfortunate feline is put in a box that contains a capsule of poison gas and a sample of uranium. The capsule is triggered so that if the uranium has an alpha decay, the alpha sets off the trigger and the unfortunate feline expires.

After a time interval we open the box and happily the cat is alive. It could, according to the many history approach have arrived at this state in two ways. The initial state might have been a cat alive state or it might have been a coherent sum of a cat alive and a cat dead state. From the presence of the living cat we cannot decide.

The vision of the past given by the decoherent history interpretation and the Bohmian seems radically different. In Bohmian mechanics we could in principle follow all the cat molecules backwards in time and arrive at one and only one past.

I don’t know how you feel, but the ambiguity of the past makes me queasy. It might be entertaining to imagine that in an alternate past my grandmother who was born in a Polish stetl could have been Eleanor Roosevelt.

I readily accept that these pasts to not communicate but there seem to be too many of them from the point of view of economy. A trip to a barber wielding Occam’s razor seems warranted.

In any case when it comes to quantum pasts, as Duke Ellington taught us, “Things ain’t what they used to be.”
Perhaps Bernstein wrote this short paper just for that final joke at the end?

To summarise, if you take quantum theory seriously and you take eternalism (the block universe) seriously, then it seems that the past is as indeterminate as the future.

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How does this relate to the 'low entropy in the past' idea used to explain the 'arrow of time'?

Since quantum theory is consistent with the second law of thermodynamics, a picture emerges of backwards branching towards (superpositions of) Big Bang variants.

My ex-colleague Roy said as much in this comment, on an earlier post devoted to the MWI. See here for more.