WHERE WAVES BECOME REAL • LECTURE 2 OF 12

A Century of Attempts

Six approaches to the measurement problem
and what each one sacrifices

Kelly Sonderegger • Anchored Causality Theory

The Landscape

The measurement problem has haunted physics for nearly a century. Brilliant minds have proposed radically different solutions. Each one works — and each one costs something fundamental.

Copenhagen

"Don't ask"

Many-Worlds

"Everything happens"

Bohmian Mechanics

"Hidden guides"

GRW / CSL

"Spontaneous collapse"

QBism

"It's all in your head"

Decoherence

"The environment matters"

Copenhagen Interpretation

Bohr, Heisenberg, 1920s

The Idea

Measurement is a fundamental, irreducible process. The quantum state describes probabilities, not reality. When you measure, the wave function "collapses" — but don't ask what physically happens.

What It Gets Right

Practically effective. Generations of physicists have used it to make correct predictions without needing to resolve the deeper question.

The Cost

No mechanism. Measurement is declared fundamental but never explained. It draws an arbitrary line between "quantum" and "classical" that nature doesn't seem to respect.

But a theory that forbids asking how is not a complete theory.

Many-Worlds Interpretation

Everett, 1957

The Idea

There is no collapse. Every possible outcome actually happens — the universe splits into branches. In one branch, the cat is alive; in another, dead. Both are equally real. Crucially, you split too — there is a copy of the observer in every branch.

What It Gets Right

Takes the math seriously. No collapse needed. The wave function is the reality, evolving unitarily. Elegant in its simplicity.

The Cost

Infinite unobservable universes — and infinite copies of you. If every outcome happens with certainty, what does "70% probability" even mean?

The math is clean. The ontology is extravagant.

Bohmian Mechanics

Bohm, 1952 (building on de Broglie, 1927)

The Idea

Particles are real and always have definite positions. But they're guided by a "pilot wave" — the quantum wave function — which tells each particle where to go. The wave goes through both slits; the particle goes through one.

What It Gets Right

Realist. Particles have definite positions at all times. Reproduces all standard QM predictions. Single outcomes emerge naturally.

The Cost

Fundamentally nonlocal — the pilot wave connects distant particles instantaneously. No natural extension to quantum field theory. Adds hidden structure that can never be measured directly.

Bohmian mechanics can't grow into quantum field theory — where modern physics lives.

GRW / CSL — Spontaneous Collapse

Ghirardi, Rimini, Weber (1986) • Pearle (1989)

The Idea

Modify the Schrödinger equation: add a random, spontaneous collapse mechanism. Each particle has a tiny probability of spontaneously localizing at any moment. For 10²³ particles in a cat, at least one collapses almost instantly — dragging the whole system with it.

What It Gets Right

A real dynamical modification — not just interpretation. Provides an actual mechanism for collapse. Testable in principle.

The Cost

Violates energy conservation. The noise field is invented from scratch — no connection to known physics. Two free parameters with no physical motivation.

GRW/CSL is the closest predecessor to ACT — a genuine dynamical modification.
But it invents its noise field. ACT will use the noise that's already there.

QBism

Fuchs, Mermin, Schack, 2000s

The Idea

The wave function isn't a real physical thing — it's a tool for an agent to organize their beliefs about future experiences. Measurement isn't a physical process that needs explanation; it's simply the moment an agent updates their expectations.

What It Gets Right

Philosophically rigorous. Avoids many conceptual puzzles by refusing to treat the wave function as real. Internally consistent.

The Cost

Abandons realism entirely. If the wave function isn't real, what is? Physics becomes about experiences rather than the world.

QBism dissolves the measurement problem by dissolving reality.

Environmental Decoherence

Zurek, Zeh, Joos, 1970s–present

The Idea

Quantum systems don't exist in isolation — they interact with their environment. Those interactions cause quantum coherence to leak away extremely rapidly for large objects. That's why cats and tables behave classically.

What It Gets Right

Enormous insight. The environment is crucial. Explains why we don't see macroscopic superpositions. Quantitative, testable, experimentally confirmed.

The Cost

Doesn't select a single outcome. Produces an "improper mixture" — the math still contains all possibilities. Decoherence explains the blur, not the choice.

Decoherence is the most important insight of the past 40 years.
It's necessary — but it's not sufficient. ACT will complete what decoherence started.

DEEPER DIVE

The Improper Mixture Problem

After decoherence, the density matrix of a two-outcome system looks like:

ρ ≈ |α|² |A⟩⟨A| + |β|² |B⟩⟨B|

This looks exactly like a classical mixture: probability |α|² of outcome A, probability |β|² of outcome B. For all practical purposes (FAPP), it behaves like one.

But it isn't a classical mixture

The full system+environment state is still a pure entangled state — both outcomes still exist in the total quantum state. Decoherence hides the other outcomes from local observation. It doesn't eliminate them.

This is the precise gap ACT fills: a dynamical mechanism that produces genuine single outcomes.

The Pattern

Look at what every approach has in common — and what none of them do.

!

None use the Standard Model

Copenhagen adds no physics. Many-Worlds adds no physics. Bohmian mechanics adds a pilot wave from outside QFT. GRW/CSL invents a noise field from scratch. Only decoherence uses real physics — and it stops short.

!

None identify the physical noise source

The universe is full of quantum fields — electromagnetic fields, phonons, thermal fluctuations. But no interpretation asks: what if this noise is the mechanism?

!

None connect mass to measurement

The Higgs field gives particles mass. Mass determines environmental coupling. Heavier objects decohere faster. But nobody asked: is mass the structural variable that drives measurement?

The Pieces Were Always There

Three discoveries — developed independently — were waiting to be combined.

1964

The Higgs Mechanism — Mass is generated by interaction with the Higgs field. Mass determines coupling strength to the environment.

1983

Quantum Brownian Motion — Caldeira and Leggett show how environmental coupling drives irreversible classical behavior through noise and dissipation.

1980s+

The Decoherence Program — Zurek and others demonstrate that environmental entanglement destroys quantum coherence for macroscopic systems.

The missing synthesis: gauge fields provide the bath. Mass sets the coupling. Together they explain measurement.

What Would a Complete Solution Look Like?

Based on the failures and successes of every approach, we can write a checklist:

Anchored Causality Theory checks every box. That's where we're headed.

WHERE WAVES BECOME REAL

A century of brilliant attempts.

Each one taught us something.
None of them finished the job.

Next: Lecture 3 — What Decoherence Got Right (and What It Left Unsolved)

Kelly Sonderegger • Anchored Causality Theory • ksondere@gmail.com