Work #891 · Early period

Relative State Formulation of Quantum Mechanics

Everett's 1957 paper founding the many-worlds interpretation of quantum mechanics

Hugh Everett III · 1957 (Reviews of Modern Physics) · English · Physics paper

Tradition: Mid-twentieth-century foundations of quantum mechanics

Everett's 1957 paper founding the many-worlds (relative-state) interpretation of quantum mechanics

"'Relative State' Formulation of Quantum Mechanics" is Hugh Everett III's 1957 paper in Reviews of Modern Physics, founding the many-worlds interpretation (originally "relative state" formulation) of quantum mechanics. Everett treats the wave function as physical reality, applies the Schrödinger equation to the entire universe (including observers), and concludes that quantum measurement does not collapse the wave function but rather entangles the observer with the system — yielding multiple "relative states" of the observer, each of which is real. Foundational for the many-worlds interpretation (DeWitt, Deutsch, Wallace) and the long debate about the foundations of quantum mechanics.

Editions cited

  • "'Relative State' Formulation of Quantum Mechanics", Reviews of Modern Physics 29 (1957), 454-462; in The Many-Worlds Interpretation of Quantum Mechanics, ed. DeWitt and Graham (Princeton, 1973)

School Embodiments

Naturalism · 25%
Rationalism · 20%
Realism · 20%
Multiverse Theory · 15%
Empiricism · 5%
Platonism (Classical) · 5%
Pragmatic Realism · 5%
Analytic Metaphysics / Logical Atomism · 5%

Naturalist physical scientific.

"Naturalist physical." (Relative State Formulation)

Rationalist mathematical-physical methodology.

"Rationalist mathematical." (Relative State Formulation)
Realism 20%

Realist orientation to the wave function.

"Realist wave function." (Relative State Formulation)

Founding many-worlds / multiverse work.

"Founding multiverse." (Relative State Formulation)

Empirical physical foundation.

"Empirical physical." (Relative State Formulation)

Platonist heritage in mathematical reality.

"Platonist mathematical." (Relative State Formulation)

Pragmatic-realist working physics.

"Pragmatic-realist." (Relative State Formulation)

Analytic precision in physical theory.

"Analytic precision." (Relative State Formulation)

Internal Tensions

Everett's Relative State Formulation: founding paper of the many-worlds interpretation; central reference for foundations-of-quantum-mechanics debate.

I. Time

The unitary time of the universal wave function.

Attributes
Extent: Infinite Ontological Status: Substantival Grain: Continuous Freedom: Deterministic Traversability: Linear Direction: Uni-directional Dimensionality: One

II. Space

The branching space of many worlds.

Attributes
Extent: Infinite Ontological Status: Substantival Curvature: Flat Dimensionality: Three Locality: Non-Local

III. Matter

The wave function as physical reality.

Attributes
Extent: Infinite Ontological Status: Substantival Conservation: Conserved Dimensionality: Three Locality: Non-Local

IV. Observer

The observer entangled with the system, branching into multiple relative states.

Attributes
Time Instance: Multiple Space Instance: Multiple Knowledge Extent: Partial Knowledge Retainment: Partial Physicality: Embodied Agency: Both Number: Plural Metaphysical Agency: None

V. Energy

Energies of the universal wave function.

Attributes
Extent: Infinite Ontological Status: Substantival Conservation: Conserved Dispersibility: Reversible

VI. Information

The branching information of the universal state.

Attributes
Ontological Status: Substantival Cosmic Conservation: Conserved Personal Conservation: Conserved Granularity: Continuous

Personas with the nearest attribute fingerprint

Historical figures whose own classification on the same six-dimensional grid lands closest to this work's. Computed by attribute-agreement on coordinates both address.

Computed school proximity

The work's attribute fingerprint scored against all schools using the same quiz scorer. Useful as a sanity check on the hand-curated embodiments above.

How Relative State Formulation of Quantum Mechanics resolves each dilemma

50 resolved positions across 4 dimensions, including 16 distinctive where the majority of schools go the other way · 7 unaligned.

Each dimension is sorted so minority positions come first. Mainstream positions are folded into an expandable list.

Time · 9 dilemmas · 5 distinctive

Persistence, the future, and the direction of becoming.

Distinctive · only 9% of schools agree (18/202)
Do you really choose?
If the brain is a physical system and physical systems are governed by laws, then every choice is also a chain of causes — which raises the question of what was really left to choose.
Choice is real within a determined order — agency and determinism aren’t opposites.
On this view, the future is determined and you are genuinely choosing. Those aren't contradictory because the determination runs through you rather than around you: your reasoning, deliberation, and assent are the way the determined outcome gets settled. Choice is what it feels like from …
Roads not taken The future is open and you are a genuine origin of it. (69%) · Choice is structural illusion — every event is fixed by the prior state. (10%) · Even if the universe is undetermined, you are not the chooser. (6%)
Distinctive · only 9% of schools agree (18/202)
Are addicts responsible for their addiction?
Addiction looks from one angle like the textbook case of agency failing — a person doing what they don't, in any meaningful sense, want to do. From another angle it looks like agency at work in hard conditions. Which it is depends on what agency is.
The addict is genuinely responsible within a determined order.
On this view, the addict is acting within a determined order but is genuinely acting — making decisions, endorsing or resisting urges, seeking or refusing help. Responsibility attaches not because some uncaused choice happened, but because the addict is the kind of agent through which …
Roads not taken The addict could have chosen otherwise — that's why recovery is real. (69%) · The addict's behaviour is the outcome of causes; 'responsibility' is a useful fiction, not a metaphysical fact. (10%) · Even if the universe is undetermined, the addict isn't the chooser. (6%)
Distinctive · only 9% of schools agree (18/202)
Should we hold AI systems responsible for what they do?
When an autonomous AI takes an action that harms someone, the question of who or what is responsible — the developer, the operator, the model itself — turns on whether the model is the kind of thing that can be a responsible agent.
The AI can be a genuine agent within determined conditions — and therefore genuinely responsible.
On this view, what makes a being responsible is not indeterminism but the kind of process the being is. An AI that deliberates, considers consequences, can be given reasons, and modifies its behaviour on reflection is doing what responsible agency is, even if its underlying …
Roads not taken An AI without a free will is not the kind of thing that can be responsible. (69%) · An AI's behaviour is fully determined by training and input; 'responsibility' applies if at all to its makers. (10%) · Neither AIs nor anyone else are the locus of free agency; the question is the wrong one. (6%)
Distinctive · only 15% of schools agree (31/202)
Is the universe running out of usable energy?
The heat death of the universe — entropy maxed out, no further work possible — is among the more sobering implications of mainstream physics. Whether it is structurally inescapable depends on what kind of finitude the cosmos has.
Both time and matter are unbounded; 'running out' is misframed.
On this view, the cosmos has neither a temporal horizon nor a material exhaustion point. The framing of running out presupposes bounds that the cosmos doesn't have. Energy gradients perpetuate; new configurations emerge; the categories that make heat-death scary don't apply at the cosmic scale.
Roads not taken Time is unbounded but matter is finite; usable energy can fail without time failing. (47%) · Time both has and lacks bounds depending on the level you ask at; finitude is conventional. (26%) · The cosmos has bounds; heat death is a real horizon. (12%)
Distinctive · only 15% of schools agree (31/202)
Are natural resources fundamentally finite, or only practically so?
Whether we can grow our way out of resource constraints — or whether the cosmos sets limits the economy ultimately must obey — depends on what kind of finitude matter has.
Resources are practically inexhaustible on cosmic scales; terrestrial limits are engineering.
On this view, matter and time are both unbounded at the largest scales. Terrestrial resource limits are real engineering and political constraints but not metaphysical ones; the cosmos can in principle support whatever expansion intelligence is capable of.
Roads not taken Time goes on but matter is bounded; we are eventually constrained even with infinite time. (47%) · The finitude question is level-dependent; resource ethics happens at the level that constrains us. (26%) · Resources are finite in the strict sense; living well requires accepting the limit. (12%)
4 mainstream positions
Matter · 7 dilemmas, all mainstream

Observer · 37 dilemmas · 5 distinctive

Mind, agency, and the knower's relation to the known.

Distinctive · only 5% of schools agree (11/202)
Is environmental damage ever truly permanent?
Extinction is forever; soil erosion takes centuries to repair; the carbon we emit will warm the climate for millennia. But whether 'forever' or 'millennia' means what they say depends on what kind of process the universe is.
What appears irreversible is reversible by the right action.
On this view, the appearance of permanence is a function of limits we have not yet exceeded. Divine action, sufficiently advanced technology, intentional restoration practice can in principle reverse what now appears irreversible. The lost is not gone for good; it is gone for now.
Roads not taken Damage is real and permanent on the relevant timescales. There is no recovery; there is only limitation. (66%) · Loss is part of cycles; what disappears returns in another form. (17%) · From the standpoint of the One, the categories of permanence and loss are conventional. (8%)
Distinctive · only 5% of schools agree (11/202)
Can a civilization recover from collapse?
Rome fell; Maya cities emptied; Bronze Age trade networks collapsed in a single generation. Whether what was lost can be recovered — or whether collapse is structurally final — depends on what kind of process civilization is.
Civilization is the kind of order that can in principle be restored.
On this view, the order that constitutes civilization — information, practices, institutions, ethics — is not destroyed by collapse, only dispersed. Given the right work, by humans, divine action, or both, it can be reconstituted. The historical pattern of recovery and renewal is partial evidence; …
Roads not taken Civilizational complexity is hard to build and easy to lose; recovery is at best partial. (66%) · Civilization rises and falls in cycles; recovery is structural to history. (17%) · From the One's vantage, civilizational categories are themselves conventional. (8%)
Distinctive · only 5% of schools agree (11/202)
Does the second law of thermodynamics mean something morally?
The universe trends from order to disorder. Whether that physical pattern carries moral weight — making the preservation of order, beauty, complexity a kind of cosmic duty — depends on whether time has the kind of structure morality could lean on.
Apparent entropy is reversible in principle; the moral category is restoration.
On this view, the second law describes local pattern rather than cosmic destiny. What is broken can be repaired — by divine action, by human work, by energetic intervention. The moral weight of restoration is real and not borrowed from the physics. The cosmos is …
Roads not taken Entropy is what time is. The moral weight, if any, is the weight of working against the current. (66%) · Local entropy increase is part of a cycle; the moral category is participation in the cycle. (17%) · From the One's vantage, the second law is itself a feature of the conventional, not the ultimate. (8%)
Distinctive · only 9% of schools agree (18/202)
What makes someone the same person over time?
When dementia hollows out memory, when a coma resolves with no recall, when you imagine being uploaded — the question of whether the surviving person is still you turns on what kind of thing the 'you' was to begin with.
You span moments — identity is a pattern that need not be located at a single now.
On this view, the observer is not bound to a single present. Identity is something that exists across moments — as a pattern, an ancestral line, a trans-temporal structure. Uploading, in this picture, is not a metaphysical impossibility but an engineering question; ancestors are real …
Roads not taken You are your body — continuity is bodily continuity. (36%) · You are a soul — what persists through change is the non-bodily aspect. (29%) · There was never a fixed self to either preserve or lose. (14%)
Distinctive · only 9% of schools agree (18/202)
Is the late-stage dementia patient still the person their spouse married?
Loss of memory, of recognition, of the cognitive patterns that made the person — does this end the person, or merely the person you knew? The answer turns on what makes someone who they are.
The person is the pattern across moments — diminished pattern, diminished person.
On this view, the person is constituted by a pattern extending across moments — memory, narrative, characteristic ways of being. As dementia erodes the pattern, the person is correspondingly diminished. What remains is real but is less than what was; the marriage to the person …
Roads not taken Same body, same person — even when the cognitive pattern has changed. (36%) · The soul persists; the cognitive change is the body's, not the person's. (29%) · There was no fixed person to lose; care is owed to whoever is here. (14%)
25 mainstream positions
If a teleporter copied and destroyed you, would you have survived? You are the pattern; the pattern survives the substrate change. You arrive. 9% Are the dead morally present to the living? Observers span moments; the dead are present in a real (not merely metaphorical) way. 13% Is divine omniscience compatible with human freedom? An observer can occupy multiple times at once; foreknowledge is not foreordering. 13% Does meditation reveal something genuinely timeless? Meditation accesses a trans-temporal level the ordinary observer doesn't ordinarily reach. 13% Does prayer change God's mind? Prayer participates in a trans-temporal liturgy or communion; the question of 'changing the mind' misses the trans-temporal mode. 13% Could causation work backwards? Causation runs one way — the arrow of time is real and structural. 68% Is the asymmetry between memory and anticipation a real feature of time, or just of us? The asymmetry is real because time itself has a real direction. 68% Is the arrow of time a real feature of the cosmos, or only of how we describe it? The arrow is real and structural; the asymmetry isn't an artifact of description. 68% When does a person begin? A person exists from conception — when a new being comes into existence. 54% What is marriage? Marriage has a given form — it’s a kind of thing we recognize, not make. 54% Can prayer for someone far away affect them? Prayer changes the pray-er, not the prayed-for. 49% Are coincidences ever more than coincidence? Coincidence is exactly what the math says it is. The pattern is in the noticer. 49% What is our place in nature? Active in a real nature — we cultivate, steward, transform. 48% Should we colonize space? Cultivating worlds beyond Earth is the next form of stewardship. 48% Is genetic engineering of food stewardship or domination? Genetic modification is cultivation by other means. 48% Is reality fundamentally digital? No — continuous fields, classical limits, analog deep structure. 37% Are there indivisible units of experience? No — continuous Jamesian stream, phenomenological lived time. 37% Is memory stored or reconstructed? Reconstructed — continuous re-narrating, no fixed engrams. 37% Do animals have moral standing comparable to humans? Animal minds are real because biology is the substrate of mind. 32% Could a fetal brain organoid in a petri dish be conscious? Brain tissue can in principle do what brains do; the question is integration. 32% Should we trust expert testimony when we can't verify it? Trust expertise whose conclusions a competent mind can in principle reproduce. 32% Is religious revelation a real source of knowledge? Revelation is evaluable by reason — and not above it. 32% Does an LLM 'know' the things it correctly produces? An LLM can produce correct outputs but not reason to them; useful, not knowing. 32% What happens to "you" when you die? Death is genuinely the end. 30% Could an AI have a mind that matters? No — mind is what a biological brain does, and an LLM has no brain. 30%
7 unaligned
Information · 4 dilemmas, all mainstream
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