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If all you start with are the fundamental building blocks of nature the elementary particles of the Standard Model and the forces exchanged between them you can assemble everything in all of existence with nothing more than those raw ingredients. Thats the most common approach to physics: the reductionist approach. Everything is simply the sum of its parts, and these simple building blocks, when combined together in the proper fashion, can come to build up absolutely everything that could ever exist within the Universe, with absolutely no exceptions.

In many ways, its difficult to argue with this type of description of reality. Humans are made out of cells, which are composed of molecules, which themselves are made of atoms, which in turn are made of fundamental subatomic particles: electrons, quarks, and gluons. In fact, everything we can directly observe or measure within our reality is made out of the particles of the Standard Model, and the expectation is that someday, science will reveal the fundamental cause behind dark matter and dark energy as well, which thus far are only indirectly observed.

But this reductionist approach might not be the full story, as it omits two key aspects that govern our reality: boundary conditions and top-down formation of structures. Both play an important role in our Universe, and might be essential to our notion of fundamental as well.

On the right, the gauge bosons, which mediate the three fundamental quantum forces of our Universe, are illustrated. There is only one photon to mediate the electromagnetic force, there are three bosons mediating the weak force, and eight mediating the strong force. This suggests that the Standard Model is a combination of three groups: U(1), SU(2), and SU(3), whose interactions and particles combine to make up everything known in existence.

This might come as a surprise to some people, and might sound like a heretical idea on its surface. Clearly, theres a difference between phenomena that are fundamental like the motions and interactions of the indivisible, elementary quanta that compose our Universe and phenomena that are emergent, arising solely from the interactions of large numbers of fundamental particles under a specific set of conditions.

Take a gas, for example. If you look at this gas from the perspective of fundamental particles, youll find that every fundamental particle is bound up into an atom or molecule that can be described as having a certain position and momentum at every moment in time: well-defined to the limits set by quantum uncertainty. When you take together all the atoms and molecules that make up a gas, occupying a finite volume of space, you can derive all sorts of thermodynamic properties of that gas, including:

Entropy, pressure, and temperature are the derived, emergent quantities associated with the system, and can be derived from the more fundamental properties inherent to the full suite of component particles that compose that physical system.

This simulation shows particles in a gas of a random initial speed/energy distribution colliding with one another, thermalizing, and approaching the Maxwell-Boltzmann distribution. The quantum analogue of this distribution, when it includes photons, leads to a blackbody spectrum for the radiation. Macroscopic properties like pressure, temperature, and entropy can all be derived from the collective behavior of the individual component particles within the system.

But not every one of our familiar, macroscopic laws can be derived from these fundamental particles and their interactions alone. For example, when we look at our modern understanding of electricity, we recognize that its fundamentally composed of charged particles in motion through a conductor such as a wire where the flow of charge over time determines the quantity that we know of as electric current. Wherever you have a difference in electric potential, or a voltage, the magnitude of whatever that voltage is determines how fast that electric charge flows, with voltage being proportional to current.

On macroscopic scales, the relation that comes out of it is the famous Ohms Law: V = IR, where V is voltage, I is current, and R is resistance.

Only, if you try to derive this from fundamental principles, you cant. You can derive that voltage is proportional to current, but you cannot derive that the thing that turns your proportionality into an equality is resistance. You can derive that theres a property to every material known as resistivity, and you can derive the geometrical relationship between how cross-sectional area and the length of your current-carrying wire affects the current that flows through it, but that still wont get you to V = IR.

At temperatures greater than the critical temperature of a superconductor, magnetic flux can freely pass through the conductors atoms. But below the critical superconducting temperature, all of the magnetic flux gets expelled. This is the essence of the Meissner effect, which enables flux-pinning inside regions of a superconductor and the resultant application of magnetic levitation.

In fact, theres a good reason you cant derive V = IR from fundamental principles alone: because its neither a fundamental nor a universal relation. After all, theres a famous experimental set of conditions where this relationship breaks down: inside all superconductors.

In most materials, as they heat up, the resistance of the material to current flowing through it increases, which makes some intuitive sense. At higher temperatures, the particles inside a material zip around more quickly, which makes pushing charged particles (such as electrons) through it more difficult. Common materials such as nickel, copper, platinum, tungsten, and mercury all have their resistances rise as their temperatures increase, as it becomes more and more difficult at higher temperatures to achieve the same flow of current through a material.

On the flipside, however, cooling a material down often makes it easier for current to flow through it. These same materials, as the temperature lowers and cools them down, exhibit less and less resistance to the flow of current. Only, theres a specific transition point where, all of a sudden, once a specific temperature threshold (unique to each material) is crossed, where the resistance suddenly drops to zero.

When cooled to low enough temperatures, certain materials will superconduct: the electrical resistance inside them will drop to zero. When exposed to a strong magnetic field, some superconductors will exhibit levitation effects, and with a properly configured external magnetic field, its possible to pin the superconducting object in place in one or more dimensions, resulting in spectacular applications like quantum levitation.

Its specifically when this occurs that we declare a material has entered a superconducting state. First discovered all the way back in 1911 when mercury was cooled to below 4.2 K, superconductivity still remains only partially explained even today; it cannot be derived or fully explained by fundamental principles alone.

Instead, one needs to apply another set of rules atop the fundamental particles and their interactions: a set of rules known collectively as boundary conditions. Simply giving the information about what forces and particles are at play, even if you include all the information you could possibly know about the individual particles themselves, is insufficient to describe how the full system will behave. You also need to know, in addition to whats going on within a specific volume of space, whats happening at the boundary that encloses that space, with two very common types of boundary conditions being:

If you want to create a propagating electromagnetic wave down a wire where the electric and magnetic fields of that propagating wave are always both perpendicular to the wire and perpendicular to one another, you have to tweak the boundary conditions (e.g., set up a coaxial cable for the wave to travel through) in order to get the desired outcome.

This diagram shows a cutaway of the interior of a coaxial cable. With current flowing in one direction down the central, interior cable and the opposite direction down the outer cable, these boundary conditions enable the propagation of an internal transverse electric-and-magnetic mode in the space between the conductors. This configuration, known as TEM, can only arise due to the specific boundary conditions present in a coaxial cable-like system.

Boundary conditions are of tremendous importance under a wide variety of physical circumstances as well: for plasmas in the Sun, for particle jets around the active black holes at the centers of galaxies, and for the ways that protons and neutrons configure themselves within an atomic nucleus. Theyre required if we want to explain why external magnetic and electric fields split the energy levels in atoms. And theyre absolutely going to come into play if you want to learn how the first strings of nucleic acids came to reproduce themselves, as the constraints and inputs from the surrounding environment must be key drivers of those processes.

One of the most striking places where this arises is on the largest cosmic scales of all, where for decades, a debate took place between two competing lines of thought as to how the Universe grew up and formed stars, galaxies, and the grandest cosmic structures of all.

This image shows the view of JWSTs NIRCam instrument as it looked at galaxy cluster Abell 2744 and revealed a number of galaxies that are members of a proto-cluster. The red squares show several of the galaxies for which spectroscopic measurements were obtained; the orange circles are photometric galaxy candidates that may yet turn out to be part of this cluster. Small, low-mass galaxies form earlier; larger, evolved galaxies and galaxy clusters only appear at later times.

In a top-down Universe, the largest imperfections are on the largest scales; they begin gravitating first, and as they do, these large imperfections fragment into smaller ones. Theyll give rise to stars and galaxies, sure, but theyll mostly be bound into larger, cluster-like structures, driven by the gravitational imperfections on large scales. Galaxies that are a part of groups and clusters would have largely been a part of their parent group or cluster since the very beginning, whereas isolated galaxies would only arise in sparser regions: in between the pancake-and-filament regions where structure was densest.

A bottom-up Universe is the opposite, where gravitational imperfections dominate on smaller scales. Star clusters form first, followed later by galaxies, and only thereafter do the galaxies collect together into clusters. The primary way that galaxies form would be as the first-forming star clusters gravitationally grow and accrete matter, drawing adjacent star clusters into them to form galaxies. The formation of larger-scale structure would only occur as small-scale imperfections experience runaway growth, eventually beginning to affect larger and larger cosmic scales.

If the Universe were purely built based on a top-down scenario of structure formation, wed see large collections of matter fragment into smaller structures like galaxies. If it were purely bottom-up, it would begin by forming small structures whose mutual gravitation brings them together later. Instead, the actual Universe appears to be an amalgam of both, meaning that its not described well by either scenario on its own.

In order to answer this question from an observational perspective, cosmologists began attempting to measure what we call cosmic power, which describes on what scale(s) the gravitational imperfections that seed the Universes structure first appear. If the Universe is entirely top-down, all of the power would be clustered on large cosmic scales, and there would be no power on small cosmic scales. If the Universe is entirely bottom-up, all the cosmic power is clustered on the smallest of cosmic scales, with no power on large scales.

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But if theres at least some power on all manner of cosmic scales, wed instead need to characterize the Universes power spectrum by what we call a spectral index: a parameter that tells us how tilted the Universes power is, and whether it:

If it were this final case, the Universe wouldve been born with power evenly distributed on all scales, and only gravitational dynamics would drive the structure formation of the Universe to get the structures we wind up observing at late times.

The evolution of large-scale structure in the Universe, from an early, uniform state to the clustered Universe we know today. The type and abundance of dark matter would deliver a vastly different Universe if we altered what our Universe possesses. Note that in all cases, small-scale structure arises before structure on the largest scales comes about, and that even the most underdense regions of all still contain non-zero amounts of matter.

When we look back at the earliest galaxies we can see a set of records that are now being newly set all the time with the advent of JWST we overwhelmingly see a Universe dominated by smaller, lower-mass, and less evolved galaxies than we see today. The first groups and proto-clusters of galaxies, as well as the first large, evolved galaxies, dont seem to appear until hundreds of millions years later. And the larger-scale cosmic structures, like massive clusters, galactic filaments, and the great cosmic web, seem to take billions of years to emerge within the Universe.

Does this mean that the Universe really is bottom-up, and that we dont need to examine the birth conditions for the larger scales in order to understand the types of structure that will eventually emerge?

No; thats not true at all. Remember that, regardless of what types of seeds of structure the Universe begins with, gravitation can only send-and-receive signals at the speed of light. This means that the smaller cosmic scales begin to experience gravitational collapse before the larger scales can even begin to affect one another. When we actually measure the power spectrum of the Universe and recover the scalar spectral index, we measure it to be equal to 0.965, with an uncertainty of less than 1%. It tells us that the Universe was born nearly scale-invariant, but with slightly more (by about 3%) large-scale power than small-scale power, meaning that its actually a little bit more top-down than bottom-up.

The large, medium, and small-scale fluctuations from the inflationary period of the early Universe determine the hot and cold (underdense and overdense) spots in the Big Bangs leftover glow. These fluctuations, which get stretched across the Universe in inflation, should be of a slightly different magnitude on small scales versus large ones: a prediction that was observationally borne out at approximately the ~3% level. By the time we observe the CMB, 380,000 years after the end of inflation, theres a spectrum of peaks-and-valleys in the temperature/scale distribution of fluctuations, owing to interactions between normal/dark matter and radiation.

In other words, if you want to explain all of the phenomena that we actually observe in the Universe, simply looking at the fundamental particles and the fundamental interactions between them will get you far, but wont cover it all. A great many phenomena in a great many environments require that we throw in the additional ingredients of conditions both initially and at the boundaries of your physical system on much larger scales than the ones where fundamental particles interact. Even with no novel laws or rules, simply starting from the smallest scales and building up from that wont encapsulate everything thats already known to occur.

This doesnt mean, of course, that the Universe is inherently non-reductionist, or that there are some important and fundamental laws of nature that only appear when you look at non-fundamental scales. Although many have made cases along those lines, those are tantamount to God of the gaps arguments, with no such rules ever having been found, and no emergent phenomena ever coming to be only because some new rule or law of nature has been found on a non-fundamental scale. Nevertheless, we must be cautious against adopting an overly restrictive view of what fundamental means. After all, the elementary particles and their interactions might be all that make up our Universe, but if we want to understand how they assemble and what types of phenomena will emerge from that, much more is absolutely necessary.

Original post:

Did physicists get the idea of "fundamental" wrong? - Big Think