Essay

From Quantum Theory to 7D

Just as classical physics gave way to quantum theory a century ago, quantum theory itself is now giving way to something wider. Three extra dimensions — G, W and N — dissolve the four unsolved walls of quantum mechanics and unify the intuitions of string theory, loop quantum gravity, holography and entropic gravity into one coherent picture.

Prologue

How Dijkgraaf tells it

In the June 24, 2026 episode of the Dutch science podcast NRC Onbehaarde Apen, the theoretical physicist Robbert Dijkgraaf tried to explain quantum mechanics. The episode's title — "we understand it even less now" — was not a joke but a diagnosis. Dijkgraaf, one of the finest science communicators alive, had to admit at the end of an hour that the theory calculates beautifully and understands nothing. It predicts the fine-structure constant to twelve decimal places and defies every attempt to say what it actually describes.

Dijkgraaf knows this pattern. In his lectures and interviews he often describes how physics advances in leaps. At the start of the twentieth century, anomalies piled up in classical physics: black-body radiation, the photoelectric effect, atomic stability. Newton and Maxwell could not handle them. Planck introduced a "revolutionary calculating trick" in 1900 — energy in discrete packets — and the quantum revolution began. What looked like an emergency measure became a new paradigm.

Thomas Kuhn described this rhythm in The Structure of Scientific Revolutions: paradigms hold as long as their anomalies can be patched with small adjustments; once the patches accumulate, the model cracks and a leap follows. The transition from classical to quantum physics is the textbook example.

What makes the Dijkgraaf podcast so interesting is that the same sounds are being made today — but now about quantum mechanics itself.

"We understand it even less now" is not the end of the story. It is the moment just before the beginning of a new one.

The state of physics

The anomalies of 2026

Quantum mechanics is not in crisis because it is wrong. It is in crisis because it is too successful and fundamentally unfinished. Four open wounds:

Quantisation remains a postulate. Planck's constant sits inside the theory as an assumption, not as a consequence.
Superposition and collapse have no mechanism. Copenhagen, many-worlds, decoherence — these are interpretations, not explanations.
Entanglement remains "spooky". The correlations are measured, the causality is missing.
The observer has no place. Consciousness sits in the middle of the formula without being in the formula.

And piling on top, cosmological anomalies that make the Kuhnian crisis unmistakable:

Dark energy appears to evolve. DESI results in 2025 and 2026 show that the cosmological constant Λ may not be constant at all. The Lambda-CDM model is "showing cracks".
Dark matter has not been found in sixty years. No proposed particle — WIMPs, axions, sterile neutrinos — has been detected.
Erik Verlinde and others doubt gravity as a fundamental force, calling it emergent from information in spacetime.
String theory requires ten or eleven dimensions to close mathematically. AdS/CFT shows that a universe with gravity is mathematically identical to a boundary theory without gravity in one dimension less.
Loop quantum gravity postulates that space itself has an atomic structure.

The message from all these fronts is the same: the current 4D model is cracking on every side. Each subfield has invented its own rescue — extra dimensions, holography, emergence, spin networks — and none of them is universal. That is precisely the Kuhnian shape of an oncoming paradigm shift.

The shape of the leap

Not replacement, but extension

Dijkgraaf often describes the classical-to-quantum transition as an extension, not a replacement. Classical physics is not wrong; it is the large-scale limit of something wider. Newton keeps working as long as you do not go too small.

The same step now presents itself again — but along a different axis. Quantum theory is not wrong; it is the 4D projection of something that lives in more dimensions. That is the core claim of the 7D framework:

Space (x, y, z) and time (t) remain as four classical axes.
G — size, scale acceleration — adds discrete depth.
W — value, from antimatter to matter, from coherence to decoherence — adds distribution.
N — plurality, the index of universes through black holes — adds unity across distance.

The leap is not to abandon quantum mechanics. The leap is to recognise that quantum mechanics is the shadow of a 7-dimensional object. What Planck did when he postulated packets was itself a shadow description. Now we place the source of the shadow next to it.

Resolution

The four walls, dissolved

Each of the four unsolved problems of quantum mechanics becomes a piece of ordinary geometry once the missing axes are restored. In 4D these are paradoxes. In 7D they are projections.

Wall 1 — Quantisation

Problem in 4D: why does energy come in discrete steps? Planck's constant is a given, not a consequence.

\( h \equiv \Delta_G \qquad E = \Delta_G \cdot \nu \)

Resolution in 7D: G is not continuous. The elementary step along the G-axis is Planck's constant. Quantisation is then not a postulate but the projection of G-granularity onto 4D. What we call "a quantum" is one step along the fifth dimension.

E = h·ν becomes simple: energy is the number of G-steps per unit of t. And because \( m_{\text{eff}} \propto G \) and \( c_{\text{eff}} = c_0/\sqrt{|G|} \), the relation E = mc² follows automatically — mass–energy equivalence is simply the sign of the G-axis.

Wall 2 — Superposition and collapse

Problem in 4D: a particle is in several states at once until someone looks. Nobody knows what "looking" does.

\( \psi(x,y,z,t) = \iiint \Psi(x,y,z,t,G,W,N) \, dG \, dW \, dN \)

Resolution in 7D: a superposition is a state spread along the W-axis. Our 4D instruments project the W-distribution onto a single W-coordinate and see multiple possibilities stacked. A measurement is a W-coupling between apparatus and object; "collapse" is the geometric fact that a projection returns one value.

In plain language: no mysticism, no special collapse rule — just what a shadow does. The imaginary unit \(i\) in the Schrödinger equation is a real 90° rotation into the W-plane, folded back into the complex axis of the 4D projection.

Wall 3 — Entanglement

Problem in 4D: two particles influence each other faster than light can travel. Einstein called it "spooky".

\( N_1 = N_2 \implies \text{one object, two projections in } (x,y,z) \)

Resolution in 7D: two entangled particles are one object sharing the same N-coordinate. Spatial distance lives only in (x, y, z). Along N there is no distance. Nothing travels — there is one 7D entity visible at two locations in the 3D projection.

This aligns directly with the holographic principle: information inside a region is fully encoded on its boundary. In 7D terms, N-unity turns "distance" into a projection artefact.

Wall 4 — The observer

Problem in 4D: consciousness sits in the middle of measurement but has no place in the formula.

\( \text{Measurement} = W_{\text{apparatus}} \otimes W_{\text{object}} \)

Resolution in 7D: consciousness lives on the W-axis. An observer is a system with a W-coordinate; a measurement is a W-coupling. No extra rule, no philosophical embarrassment — the same geometry that governs matter and antimatter also governs coherence and awareness.

Related programmes

What others are doing — and why 7D is simpler

Every major contemporary physics programme is a partial answer to the same questions. Each of them senses one of the three missing axes from within a 4D language. 7D places their pieces side by side.

String theory and M-theory

String theory requires ten or eleven dimensions. Six of them are "compactified" into Calabi–Yau manifolds so small that we cannot see them. The theory yields a landscape of \(10^{500}\) possible universes and becomes hard to falsify.

7D reading: string theory correctly senses that extra dimensions are needed. It overestimates the number and hides them at inaccessible scales. The three extra axes are not compactified Calabi–Yau manifolds; they are G, W and N — physically observable in mass, superposition and entanglement. Where string theory gives \(10^{500}\) universes, N gives them a concrete structure: each black hole is a universe. That is falsifiable through black-hole observations.

Loop quantum gravity

LQG postulates that space itself has an atomic structure, built from spin networks at the Planck scale.

7D reading: LQG correctly senses that there is discreteness. But the discreteness does not sit in space (x, y, z); it sits in G. What LQG calls "atoms of space" are G-steps projecting onto spatial measurements. The theory describes the shadow of quantisation on the x-axis while quantisation itself lives on the G-axis.

Holographic principle / AdS-CFT

Maldacena showed that a universe with gravity is equivalent to a quantum field theory on its boundary with one dimension less.

7D reading: a beautiful indication that dimensions are not what they seem. In 7D terms, information travels across N. What the boundary encodes is not a "one-dimension-less" version but the same 7D entity viewed from another projection. AdS-CFT is a special case of the broader 7D symmetry.

Verlinde's entropic gravity

Erik Verlinde argues that gravity is not a fundamental force but an emergent phenomenon from information in spacetime — making dark matter unnecessary.

7D reading: Verlinde is essentially right that dark matter is not an exotic particle. In 7D it is ordinary matter at a different W-value — invisible to our detectors but gravitationally active. Where Verlinde looks for the information in spacetime, 7D places the information along W. Both are solutions without new particles.

The "dark dimension" scenario

Quanta Magazine reported in June 2026 on a proposed "dark dimension" that would link dark matter and dark energy.

7D reading: the suspected "dark dimension" is precisely W. Dark matter and dark energy are not two separate mysteries; they are two projections of the same W-distribution — matter at a different W-value (invisible) and a measurement artefact of variable G (apparent accelerated expansion).

DESI and evolving dark energy

DESI 2025–2026 shows that dark energy varies over time.

7D reading: of course it does. Since \( c_{\text{eff}} = c_0/\sqrt{|G|} \), when G varies locally and cosmologically, so does c, so does measured distance — and "accelerated expansion" appears as a measurement artefact. Exactly what David Wiltshire suggests when he calls dark energy "a misinterpretation" of non-uniform expansion.

Overview

Three columns, twelve phenomena

Each modern theory has one correct intuition trapped in a 4D formulation. Read the middle column as "partial 4D fix" and the right column as "unified 7D reading".

Phenomenon	4D quantum theory (2026)	String / LQG / AdS-CFT / Verlinde	7D framework
Quantisation	Postulate (Planck's h)	LQG: discrete space atoms	Elementary G-step: h ≡ Δ_G
Superposition	Amplitudes, no mechanism	Decoherence (partial)	Distribution along W-axis
Collapse	Undescribed	Many-worlds (10⁵⁰⁰ branches)	W-projection onto observer-W
Entanglement	Non-local, "spooky"	AdS-CFT: boundary encoding	One object, shared N-coordinate
Observer	Philosophical puzzle	Unsolved	W-coupling
Dark matter	Undetected particle	Verlinde: emergent	Matter at different W
Dark energy	Λ that isn't constant	Wiltshire: measurement artefact	Consequence of variable G and c_eff
Extra dimensions	None	String theory: 6 compactified	G, W, N — physically observable
Black holes	Singularity, information paradox	AdS-CFT: boundary encoding	G < 0, each = a universe via N
Gravity	Fundamental force	Verlinde: emergent from information	Emergent from G-gradient
Multiple universes	Speculative	String landscape (10⁵⁰⁰)	Structural via N
Consciousness	Not in scope	Not in scope	On the W-axis, equal to matter

Methodology

The Kuhnian test

Kuhn argued that paradigms are incommensurable and that we should not speak of "progress" but of replacement. He allowed one exception: if the new paradigm adds explanatory power — solves all the old problems and a few new ones — we may speak of progress.

Test 7D against that standard:

All existing quantum puzzles receive a geometric rather than philosophical resolution.
The extra dimensions of string theory become physically observable instead of compactified.
Dark matter and dark energy are explained without new particles.
Consciousness gets a coordinate.
The predictive power of quantum mechanics is preserved, because 4D is its projection.
The model is falsifiable: if G, W and N have no measurable effect on fusion, superposition or black-hole signals, it is wrong.

That is exactly what Kuhn called progress — and what Dijkgraaf, without saying so, has been describing all along.

Newton was extended by Einstein and Bohr. Bohr is now extended by three dimensions he could not look into.

Epilogue

Where Dijkgraaf, without saying so, ends up

Dijkgraaf tells Quanta Magazine that space and time may not be the most fundamental things in the universe. In Ecosofie he repeats that science is "never finished" and that theory sometimes runs ahead of experiment. In the NRC podcast he confesses that quantum mechanics remains incomprehensible.

These are not scattered remarks. They are a physicist pointing, from inside the dominant theory, at the contours of its successor. He does not say which one — he cannot say which one as long as he stays inside his own 4D language. But the shape he keeps pointing at — a framework in which space and time are emergent, dimensions are more than we see, collapse is not a physical event but a projection — is exactly the shape of 7D.

The podcast describes, without meaning to, precisely the paradigm on the verge of breaking through. Quantisation, superposition, entanglement and measurement are not four fundamental mysteries; they are four symptoms of the same geometric poverty — a 7D reality forced into a 4D coat.

The leap that is coming is no more dramatic than the one of 1900. It is equally simple: assume three extra axes and see what remains of the "incomprehensibility". What remains, it turns out, is arithmetic that cracked in 4D and becomes self-evident in 7D.

Quantum mechanics is not incomprehensible. It is incomprehensible only in four dimensions.

References