The universal wavefunction or the wavefunction of the universe is the wavefunction or quantum state of the entire universe.[1] It is regarded as the basic physical entity[2] in the many-worlds interpretation of quantum mechanics,[3][4][5][6] and finds applications in quantum cosmology. It evolves deterministically according to a wave equation.[7]

The concept of universal wavefunction was introduced by Hugh Everett in his 1956 PhD thesis draft The Theory of the Universal Wave Function,[8] It later received investigation from James Hartle and Stephen Hawking[9] who derived the Hartle–Hawking solution to the Wheeler–deWitt equation to explain the initial conditions of the Big Bang cosmology.

Role of observers

Hugh Everett's universal wavefunction supports the idea that observed and observer are all mixed together:

If we try to limit the applicability so as to exclude the measuring apparatus, or in general systems of macroscopic size, we are faced with the difficulty of sharply defining the region of validity. For what n might a group of n particles be construed as forming a measuring device so that the quantum description fails? And to draw the line at human or animal observers, i.e., to assume that all mechanical apparata obey the usual laws, but that they are not valid for living observers, does violence to the so-called principle of psycho-physical parallelism.[10]

Eugene Wigner and John Archibald Wheeler take issue with this stance. Wigner writes

The state vector of my mind, even if it were completely known, would not give its impressions. A translation from state vector to impressions would be necessary; without such a translation the state vector would be meaningless.[11]

Wheeler says:

One is led to recognize that a wave function 'encompassing the whole universe' is an idealization, formalistically perhaps a convenient idealization, but an idealization so strained that it can be used only in part in any forecast of correlations that makes' physical sense. For making sense it seems essential most of all to 'leave the observer out of the wave function'.[12]

See also

Heisenberg cut

References

Everett [1956]1973, "Theory of the Universal Wavefunction", introduction, pg 8–9

Everett 1957, section 3, 2nd paragraph, 1st sentence.

Hugh Everett, Relative State Formulation of Quantum Mechanics, Reviews of Modern Physics vol 29, (1957) pp 454–462. An abridged summary of The Theory of the Universal Wavefunction

John Archibald Wheeler, Assessment of Everett's "Relative State Formulation of Quantum Theory", Reviews of Modern Physics, vol 29, (1957) pp 463–465

Bryce Seligman DeWitt, Quantum Mechanics and Reality, Physics Today,23(9) pp 30–40 (1970) also April 1971 letters followup

Bryce Seligman DeWitt, The Many-Universes Interpretation of Quantum Mechanics, Proceedings of the International School of Physics "Enrico Fermi" Coursu IL: Foundations of Quantum Mechanics, Academic Press (1972)

Everett [1956]1973, "Theory of the Universal Wavefunction", chapter 6 (e)

Bryce Seligman DeWitt, R. Neill Graham, eds, The Many-Worlds Interpretation of Quantum Mechanics, Princeton Series in Physics, Princeton University Press (1973), ISBN 0-691-08131-X Contains the reprint of Everett's thesis: The Theory of the Universal Wave Function, pp 3–140.

Stephen W Hawking, James B Hartle "The Wave Function of the Universe," Physical Review D, vol 28, (1983) pp 2960–2975

Everett [1956]1973, "Theory of the Universal Wavefunction", introduction, pg 6

Wigner, E. P. (1973). Mehra, Jagdish (ed.). "Epistemological Perspective on Quantum Theory". Berlin, Heidelberg: Springer Berlin Heidelberg: 55–71. doi:10.1007/978-3-642-78374-6_5. ISBN 978-3-540-63372-3.

Wheeler, John Archibald (1977). Lopes, José Leite; Paty, Michel (eds.). "Include the Observer in the Wave Function?". Dordrecht: Springer Netherlands: 1–18. doi:10.1007/978-94-010-1196-9_1. ISBN 978-94-010-1198-3.

Quantum mechanics

Background

Introduction History

timeline Glossary Classical mechanics Old quantum theory

Fundamentals

Bra–ket notation Casimir effect Coherence Coherent control Complementarity Density matrix Energy level

degenerate levels excited state ground state QED vacuum QCD vacuum Vacuum state Zero-point energy Hamiltonian Heisenberg uncertainty principle Pauli exclusion principle Measurement Observable Operator Probability distribution Quantum Qubit Qutrit Scattering theory Spin Spontaneous parametric down-conversion Symmetry Symmetry breaking

Spontaneous symmetry breaking No-go theorem No-cloning theorem Von Neumann entropy Wave interference Wave function

collapse Universal wavefunction Wave–particle duality

Matter wave Wave propagation Virtual particle

Quantum

quantum coherence annealing decoherence entanglement fluctuation foam levitation noise nonlocality number realm state superposition system tunnelling Quantum vacuum state

Mathematics

Equations

Dirac Klein–Gordon Pauli Rydberg Schrödinger

Formulations

Heisenberg Interaction Matrix mechanics Path integral formulation Phase space Schrödinger

Other

Quantum

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List

Interpretations

Bayesian Consistent histories Cosmological Copenhagen de Broglie–Bohm Ensemble Hidden variables Many worlds Objective collapse Quantum logic Relational Stochastic Transactional

Experiments

Afshar Bell's inequality Cold Atom Laboratory Davisson–Germer Delayed-choice quantum eraser Double-slit Elitzur–Vaidman Franck–Hertz experiment Leggett–Garg inequality Mach-Zehnder inter. Popper Quantum eraser Quantum suicide and immortality Schrödinger's cat Stern–Gerlach Wheeler's delayed choice

Science

Quantum

biology chemistry chaos cognition complexity theory computing

Timeline cosmology dynamics economics finance foundations game theory information nanoscience metrology mind optics probability social science spacetime

Technologies

Quantum technology

links Matrix isolation Phase qubit Quantum dot

cellular automaton display laser single-photon source solar cell Quantum well

laser

Extensions

Dirac sea Fractional quantum mechanics Quantum electrodynamics

links Quantum geometry Quantum field theory

links Quantum gravity

links Quantum information science

links Quantum statistical mechanics Relativistic quantum mechanics De Broglie–Bohm theory Stochastic electrodynamics

Related

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