program notes on String Quartet 17

I. If Everything in the Universe Is One Electron, What If Music Is Just One Note

The Reductive Reading

The one-electron universe is the right pressure to apply here, but the metaphor forks immediately depending on which direction you push it.

The reductive reading — everything is one note, one vibration, the harmonic series is just elaboration of a fundamental — leads straight to just intonation ideology, Pythagorean mysticism, the universe humming at A=432. That is the boring version. It reinstates the master fundamental already dismantled.

The Wheeler Reading Done Correctly

The one electron is not simple — it is everywhere at once, tracing every possible path through spacetime simultaneously. If music is one note, it is a note that occupies four independent tuning systems at the same moment, each with its own tempo, none of them reporting to a center. The singularity produces the irreducible multiplicity rather than collapsing it.

Which means polytempic polymicrotonality may be the more faithful musical analog to Wheeler than any drone tradition. The drone assumes oneness means stillness and convergence. Polytempic polymicrotonality assumes oneness means total simultaneous occupation of incommensurable positions — which is what an electron actually does.

The Musical Positron

There is also a temporal dimension Wheeler forces: the electron moving backward through time is the positron. It is not a different entity — it is the same entity under time-reversed parameterization.

The musical equivalent is precise: a system whose tempo evolution is the inverse mapping of another system, while preserving the full ratio structure. Same 3:4:5:7 ratios. Same tuning-tempo bonds. Reversed traversal. The positron is not meter running arbitrarily backward — it is a structurally identical system whose directional parameter is negated. This is not yet composed. It is a region of the four-dimensional space that exists and has not been entered.

Argument in One Line

The one-note universe, done correctly, is an argument against drone mysticism and for plural incommensurability. The singularity produces multiplicity. The blog post writes itself.

II. Many Worlds Theory as Polytempic Polymicrotonal Music

Cage Is Copenhagen, Not Quantum

Most quantum music analogies get this backwards.

Chance procedures simulate the appearance of quantum randomness — the collapsed outcome from inside one branch. But Copenhagen is actually determinist at the wavefunction level; randomness is only apparent, only local. Stochastic composition is musically Copenhagen: it picks one outcome and discards the rest. The radical gesture turns out to be classical.

Many Worlds is fully determinist. The wavefunction evolves by strict equations. Nothing is random. Everything happens. Polytempic polymicrotonality is also fully determinist — fully composed, no indeterminacy, no performer choice. The four tuning systems all occur simultaneously by necessity. It does not randomize; it refuses to collapse.

Structural Homologies

Copenhagen = tonal hierarchy. Measurement collapses the wavefunction to a single value. The tonic is the measurement event — everything resolves, one outcome selected, the rest discarded. Every cadence is a Copenhagen collapse.

Many Worlds = polytempic polymicrotonality. No collapse. The wavefunction branches and all branches are equally real, causally isolated, non-communicating. The four tuning systems in String Quartet No. 17 are four branches: fully real, pursuing independent trajectories, never negotiating toward merger.

Decoherence as Tuning-Tempo Bonding

The mechanism that makes Many Worlds branches stable and non-interfering is decoherence — environmental entanglement that suppresses observable interference terms between branches. In this system, the bonding of each tuning to its own independent tempo and meter is the decoherence mechanism. What is being suppressed is specific: no shared periodicity across systems, no common harmonic alignment, no phase-locking between tuning layers. The bonding prevents the tuning systems from collapsing into each other. The structural innovation is the physics.

The Wavefunction Is the Score

In Many Worlds, the wavefunction never collapses — it keeps branching. The score of SQ17 is the wavefunction: the total simultaneous structure, all branches present, none privileged. Performance is not collapse but traversal. The listener does not select a branch by listening — they are inside the branching, which is what Everett says about observers: they split too. There is no view from outside.

The Preferred Basis Problem

Many Worlds has an unresolved question: what determines which branches split? The preferred basis problem. This system does not solve that problem — it is not physics. But it independently instantiates a structure isomorphic to the problem's requirements: a basis that is generated rather than imposed, grounded in the irreducible ratio logic of 3:4:5:7, with branches (15, 14, 22, 26 TET; 5/4, 7/4, 11/4, 13/4) determined by foundational structure rather than external observer selection. The analogy is structural, not decorative.

Argument in One Line

Cage gave you randomness and called it quantum. Polytempic polymicrotonality gives you determined multiplicity with no collapse. Only one of those is actually Many Worlds.

III. Preferred Basis as a Four-Dimensional Space Represented by 3:4:5:7

Orthogonality as Incommensurability

In standard Hilbert space, basis vectors are orthogonal — they do not project onto each other, cannot be decomposed into each other. In the 3:4:5:7 space, orthogonality is incommensurability. 3, 5, and 7 are mutually prime. 4 (= 2²) shares no common factor with 3, 5, or 7. They cannot reduce to each other. That irreducibility is the orthogonality. The preferred basis selects itself because it is the unique minimal set of incommensurable integers that simultaneously generates rhythm, tuning, and meter as a unified structure.

The ratio was not chosen. It emerged from four-limb drumming independence in 1985 — discovered under physical constraint, not designed from theory. The question of why not 11 or 13 at the same foundational level has an answer that precedes argument: they were not there when the hands arrived at the structure. Genesis is not assertion.

The Four Axes

Each dimension of the space is not a number but an entire musical universe: a rhythmic ratio, a tuning system, a metric structure, a polygon. The 3-axis is triangle space — everything that unfolds in threes. The 4-axis is square space. The 5-axis pentagon. The 7-axis heptagon. A moment in SQ17 is a coordinate in this four-dimensional object: a specific simultaneous position along all four axes. No axis reports to the others.

Pointer States

Many Worlds' preferred basis problem is approached through pointer states — configurations stable under environmental decoherence. In this system the pointer states are the tuning-tempo bonds themselves: 15-TET/5/4 is one stable pointer, 14-TET/7/4 another, and so on. They are stable precisely because the bonding prevents inter-axis interference. The ratio structure enforces this. 3:4:5:7 is the only basis not because it is declared to be, but because no other configuration emerged from the same constraints.

The Space Is Larger Than Any Work

This is the generative implication. SQ17 traces a particular trajectory through the four-dimensional space. The space itself is the compositional universe — every work is a path, not the territory. Different TET systems (28, 42, other resonant values) would be different regions of the same space, not departures from it. The polygon product space — triangle × square × pentagon × heptagon — is the Hilbert space of the system, and the composer has been mapping it since 1985 without having named the container until now.

Philosophical Payoff

Physics has not resolved the preferred basis problem. This system has a structural analog to an answer: the basis is preferred when it is generated rather than imposed, when the integers select themselves through mutual incommensurability bonded to ratio-logic that simultaneously organizes pitch and rhythm. The isomorphism is tighter than most art-science analogies because it is constraint-based rather than decorative.

The music does not illustrate the physics. It is ahead of it.