The Simulated Universe

Bibliography

Every reference in the master.

127 entries, in the master's order and groups, each linked to its source. Every one was checked against Crossref; where the master and Crossref disagreed, Crossref wins.

127 of 127

Modular theory and local quantum physics

  1. [1]
    J. J. Bisognano and E. H. Wichmann, “On the duality condition for a Hermitian scalar field,” J. Math. Phys. 16, 985 (1975).
    DOI ↗
  2. [2]
    M. Takesaki, “Tomita’s Theory of Modular Hilbert Algebras and its Applications,” Lecture Notes in Mathematics 128 (1970).
    DOI ↗
  3. [3]
    R. Haag, “Local Quantum Physics: Fields, Particles, Algebras,” Springer (1996).
    DOI ↗
  4. [4]
    R. Haag, N. M. Hugenholtz and M. Winnink, “On the equilibrium states in quantum statistical mechanics,” Commun. Math. Phys. 5, 215 (1967).
    DOI ↗
  5. [5]
    P. D. Hislop and R. Longo, “Modular structure of the local algebras associated with the free massless scalar field theory,” Commun. Math. Phys. 84, 71 (1982).
    DOI ↗
  6. [6]
    H. Casini, M. Huerta and R. C. Myers, “Towards a derivation of holographic entanglement entropy,” JHEP 2011(05), 036 (2011).
    DOI ↗
  7. [7]
    H. Casini, “Relative entropy and the Bekenstein bound,” Class. Quantum Grav. 25, 205021 (2008).
    DOI ↗
  8. [8]
    M. Arzano, “Conformal quantum mechanics of causal diamonds,” JHEP 2020(05), 072 (2020).
    DOI ↗
  9. [9]
    M. B. Fröb, “Modular Hamiltonian for de Sitter diamonds,” JHEP 2023(12), 074 (2023).
    DOI ↗
  10. [10]
    L. Aalsma and S.-E. Bak, “Modular fluctuations in cosmology,” Phys. Rev. D 112, 026017 (2025).
    DOI ↗
  11. [11]
    H. Bostelmann, D. Cadamuro and C. Minz, “On the mass dependence of the modular operator for a double cone,” Ann. Henri Poincaré 24, 3031 (2023).
    DOI ↗
  12. [12]
    G. L. Sewell, “Quantum fields on manifolds: PCT and gravitationally induced thermal states,” Ann. Phys. 141, 201 (1982).
    DOI ↗
  13. [13]
    W. G. Unruh, “Notes on black-hole evaporation,” Phys. Rev. D 14, 870 (1976).
    DOI ↗

Holography, horizons and diamonds

  1. [14]
    J. D. Bekenstein, “Black holes and entropy,” Phys. Rev. D 7, 2333 (1973).
    DOI ↗
  2. [15]
    J. D. Bekenstein, “Universal upper bound on the entropy-to-energy ratio for bounded systems,” Phys. Rev. D 23, 287 (1981).
    DOI ↗
  3. [16]
    S. W. Hawking, “Particle creation by black holes,” Commun. Math. Phys. 43, 199 (1975).
    DOI ↗
  4. [17]
    J. M. Bardeen, B. Carter and S. W. Hawking, “The four laws of black hole mechanics,” Commun. Math. Phys. 31, 161 (1973).
    DOI ↗
  5. [18]
    G. W. Gibbons and S. W. Hawking, “Cosmological event horizons, thermodynamics, and particle creation,” Phys. Rev. D 15, 2738 (1977).
    DOI ↗
  6. [19]
    G. ’t Hooft, “Dimensional reduction in quantum gravity,” arXiv (1993).
    arXiv ↗
  7. [20]
    L. Susskind, “The world as a hologram,” J. Math. Phys. 36, 6377 (1995).
    DOI ↗
  8. [21]
    R. Bousso, “The holographic principle,” Rev. Mod. Phys. 74, 825 (2002).
    DOI ↗
  9. [22]
    G. W. Gibbons and S. N. Solodukhin, “The geometry of small causal diamonds,” Phys. Lett. B 649, 317 (2007).
    DOI ↗
  10. [23]
    B. Swingle, “Entanglement renormalization and holography,” Phys. Rev. D 86, 065007 (2012).
    DOI ↗
  11. [24]
    S. Ryu and T. Takayanagi, “Holographic derivation of entanglement entropy from the anti–de Sitter space/conformal field theory correspondence,” Phys. Rev. Lett. 96, 181602 (2006).
    DOI ↗

Gravity from entanglement

  1. [25]
    T. Jacobson, “Thermodynamics of spacetime: the Einstein equation of state,” Phys. Rev. Lett. 75, 1260 (1995).
    DOI ↗
  2. [26]
    T. Faulkner, M. Guica, T. Hartman, R. C. Myers and M. Van Raamsdonk, “Gravitation from entanglement in holographic CFTs,” JHEP 2014(03), 051 (2014).
    DOI ↗
  3. [27]
    N. Lashkari, M. B. McDermott and M. Van Raamsdonk, “Gravitational dynamics from entanglement ‘thermodynamics’,” JHEP 2014(04), 195 (2014).
    DOI ↗
  4. [28]
    T. Faulkner, F. M. Haehl, E. Hijano, O. Parrikar, C. Rabideau and M. Van Raamsdonk, “Nonlinear gravity from entanglement in conformal field theories,” JHEP 2017(08), 057 (2017).
    DOI ↗
  5. [29]
    A. Raychaudhuri, “Relativistic cosmology. I,” Phys. Rev. 98, 1123 (1955).
    DOI ↗
  6. [30]
    R. M. Wald, “General Relativity,” University of Chicago Press (1984).
    DOI ↗
  7. [31]
    S. W. Hawking and G. F. R. Ellis, “The Large Scale Structure of Space-Time,” Cambridge University Press (1973).
    DOI ↗

Information, computation and measurement

  1. [32]
    R. Landauer, “Irreversibility and heat generation in the computing process,” IBM J. Res. Dev. 5, 183 (1961).
    DOI ↗
  2. [33]
    C. H. Bennett, “The thermodynamics of computation—a review,” Int. J. Theor. Phys. 21, 905 (1982).
    DOI ↗
  3. [34]
    N. Margolus and L. B. Levitin, “The maximum speed of dynamical evolution,” Physica D 120, 188 (1998).
    DOI ↗
  4. [35]
    S. Lloyd, “Ultimate physical limits to computation,” Nature 406, 1047 (2000).
    DOI ↗
  5. [36]
    W. H. Zurek, “Decoherence, einselection, and the quantum origins of the classical,” Rev. Mod. Phys. 75, 715 (2003).
    DOI ↗
  6. [37]
    B. Misra and E. C. G. Sudarshan, “The Zeno’s paradox in quantum theory,” J. Math. Phys. 18, 756 (1977).
    DOI ↗
  7. [38]
    P. Facchi and S. Pascazio, “Quantum Zeno dynamics: mathematical and physical aspects,” J. Phys. A 41, 493001 (2008).
    DOI ↗
  8. [39]
    B. Skinner, J. Ruhman and A. Nahum, “Measurement-induced phase transitions in the dynamics of entanglement,” Phys. Rev. X 9, 031009 (2019).
    DOI ↗
  9. [40]
    Y. Li, X. Chen and M. P. A. Fisher, “Quantum Zeno effect and the many-body entanglement transition,” Phys. Rev. B 98, 205136 (2018).
    DOI ↗
  10. [41]
    J. M. R. Parrondo, J. M. Horowitz and T. Sagawa, “Thermodynamics of information,” Nat. Phys. 11, 131 (2015).
    DOI ↗
  11. [42]
    C. Jarzynski, “Nonequilibrium equality for free energy differences,” Phys. Rev. Lett. 78, 2690 (1997).
    DOI ↗
  12. [43]
    G. E. Crooks, “Entropy production fluctuation theorem and the nonequilibrium work relation for free energy differences,” Phys. Rev. E 60, 2721 (1999).
    DOI ↗
  13. [44]
    U. Seifert, “Stochastic thermodynamics, fluctuation theorems and molecular machines,” Rep. Prog. Phys. 75, 126001 (2012).
    DOI ↗
  14. [45]
    T. Sagawa and M. Ueda, “Generalized Jarzynski equality under nonequilibrium feedback control,” Phys. Rev. Lett. 104, 090602 (2010).
    DOI ↗
  15. [46]
    A. Bérut et al., “Experimental verification of Landauer’s principle linking information and thermodynamics,” Nature 483, 187 (2012).
    DOI ↗
  16. [47]
    A. Blais, A. L. Grimsmo, S. M. Girvin and A. Wallraff, “Circuit quantum electrodynamics,” Rev. Mod. Phys. 93, 025005 (2021).
    DOI ↗
  17. [48]
    B. Karimi, F. Brange, P. Samuelsson and J. P. Pekola, “Reaching the ultimate energy resolution of a quantum detector,” Nat. Commun. 11, 367 (2020).
    DOI ↗
  18. [49]
    D. Leibfried, R. Blatt, C. Monroe and D. Wineland, “Quantum dynamics of single trapped ions,” Rev. Mod. Phys. 75, 281 (2003).
    DOI ↗
  19. [50]
    W. S. Bakr et al., “A quantum gas microscope for detecting single atoms in a Hubbard-regime optical lattice,” Nature 462, 74 (2009).
    DOI ↗

Cosmology

  1. [51]
    Planck Collaboration, “Planck 2018 results. VI. Cosmological parameters,” Astron. Astrophys. 641, A6 (2020).
    DOI ↗
  2. [52]
    A. G. Riess et al., “A comprehensive measurement of the local value of the Hubble constant with 1 km s⁻¹ Mpc⁻¹ uncertainty from the Hubble Space Telescope and the SH0ES team,” Astrophys. J. Lett. 934, L7 (2022).
    DOI ↗
  3. [53]
    W. L. Freedman et al., “The Carnegie-Chicago Hubble Program. VIII. An independent determination of the Hubble constant based on the tip of the red giant branch,” Astrophys. J. 882, 34 (2019).
    DOI ↗
  4. [54]
    W. L. Freedman et al., “Status report on the Chicago-Carnegie Hubble Program (CCHP): measurement of the Hubble constant using the Hubble and James Webb Space Telescopes,” Astrophys. J. 985, 203 (2025).
    DOI ↗
  5. [55]
    T. J. Hoyt et al., “The Chicago Carnegie Hubble Program: improving the calibration of Type Ia supernovae with JWST measurements of the tip of the red giant branch,” Astrophys. J. 1002(1), 11 (2026).
    DOI ↗
  6. [56]
    S. A. Uddin et al., “Carnegie Supernova Project I and II: measurements of H₀ using Cepheid, tip of the red giant branch, and surface brightness fluctuation distance calibration to type Ia supernovae,” Astrophys. J. 970, 72 (2024).
    DOI ↗
  7. [57]
    M. J. Reid, D. W. Pesce and A. G. Riess, “An improved distance to NGC 4258 and its implications for the Hubble constant,” Astrophys. J. Lett. 886, L27 (2019).
    DOI ↗
  8. [58]
    G. Pietrzyński et al., “A distance to the Large Magellanic Cloud that is precise to one per cent,” Nature 567, 200 (2019).
    DOI ↗
  9. [59]
    L. Verde, T. Treu and A. G. Riess, “Tensions between the early and late Universe,” Nat. Astron. 3, 891 (2019).
    DOI ↗
  10. [60]
    D. J. Eisenstein et al., “Detection of the baryon acoustic peak in the large-scale correlation function of SDSS luminous red galaxies,” Astrophys. J. 633, 560 (2005).
    DOI ↗
  11. [61]
    S. Alam et al., “The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological analysis of the DR12 galaxy sample,” MNRAS 470, 2617 (2017).
    DOI ↗
  12. [62]
    A. G. Adame et al. (DESI Collaboration), “DESI 2024 VI: cosmological constraints from the measurements of baryon acoustic oscillations,” JCAP 2025(02), 021 (2025).
    DOI ↗
  13. [63]
    M. Abdul Karim et al. (DESI Collaboration), “DESI DR2 results. II. Measurements of baryon acoustic oscillations and cosmological constraints,” Phys. Rev. D 112(8), 083515 (2025).
    DOI ↗
  14. [64]
    D. Brout et al., “The Pantheon+ analysis: cosmological constraints,” Astrophys. J. 938, 110 (2022).
    DOI ↗
  15. [65]
    V. Poulin, T. L. Smith, T. Karwal and M. Kamionkowski, “Early dark energy can resolve the Hubble tension,” Phys. Rev. Lett. 122, 221301 (2019).
    DOI ↗
  16. [66]
    P. Carter et al., “The impact of the fiducial cosmology assumption on BAO distance scale measurements,” MNRAS 494, 2076 (2020).
    DOI ↗
  17. [67]
    A. Friedman, “Über die Krümmung des Raumes,” Z. Phys. 10, 377 (1922).
    DOI ↗
  18. [68]
    H. P. Robertson, “Kinematics and world-structure,” Astrophys. J. 82, 284 (1935).
    DOI ↗
  19. [69]
    A. G. Walker, “On Milne’s theory of world-structure,” Proc. London Math. Soc. s2-42, 90 (1937).
    DOI ↗
  20. [70]
    S. Weinberg, “The cosmological constant problem,” Rev. Mod. Phys. 61, 1 (1989).
    DOI ↗
  21. [71]
    S. M. Carroll, “The cosmological constant,” Living Rev. Relativ. 4, 1 (2001).
    DOI ↗
  22. [72]
    J. Martin, “Everything you always wanted to know about the cosmological constant problem (but were afraid to ask),” C. R. Physique 13, 566 (2012).
    DOI ↗

Dark matter

  1. [73]
    F. Zwicky, “On the masses of nebulae and of clusters of nebulae,” Astrophys. J. 86, 217 (1937).
    DOI ↗
  2. [74]
    V. C. Rubin and W. K. Ford Jr., “Rotation of the Andromeda Nebula from a spectroscopic survey of emission regions,” Astrophys. J. 159, 379 (1970).
    DOI ↗
  3. [75]
    G. Bertone and D. Hooper, “History of dark matter,” Rev. Mod. Phys. 90, 045002 (2018).
    DOI ↗
  4. [76]
    J. Aalbers et al. (LZ Collaboration), “First dark matter search results from the LUX-ZEPLIN (LZ) experiment,” Phys. Rev. Lett. 131, 041002 (2023).
    DOI ↗
  5. [77]
    T. Braine et al. (ADMX Collaboration), “Extended search for the invisible axion with the Axion Dark Matter Experiment,” Phys. Rev. Lett. 124, 101303 (2020).
    DOI ↗
  6. [78]
    J. F. Navarro, C. S. Frenk and S. D. M. White, “The structure of cold dark matter halos,” Astrophys. J. 462, 563 (1996).
    DOI ↗
  7. [79]
    F. Lelli, S. S. McGaugh and J. M. Schombert, “SPARC: mass models for 175 disk galaxies with Spitzer photometry and accurate rotation curves,” Astron. J. 152, 157 (2016).
    DOI ↗
  8. [80]
    M. Sereno, “CoMaLit – III. Literature catalogues of weak lensing clusters of galaxies (LC²),” MNRAS 450, 3665 (2015).
    DOI ↗
  9. [81]
    L. Lovisari et al., “X-ray scaling relations for a representative sample of Planck-selected clusters observed with XMM-Newton,” Astrophys. J. 892, 102 (2020).
    DOI ↗
  10. [82]
    A. W. McConnachie, “The observed properties of dwarf galaxies in and around the Local Group,” Astron. J. 144, 4 (2012).
    DOI ↗
  11. [83]
    J. Wolf et al., “Accurate masses for dispersion-supported galaxies,” MNRAS 406, 1220 (2010).
    DOI ↗
  12. [84]
    D. Eckert et al., “Gas clumping in galaxy clusters,” MNRAS 447, 2198 (2015).
    DOI ↗
  13. [85]
    D. Nagai and E. T. Lau, “Gas clumping in the outskirts of ΛCDM clusters,” Astrophys. J. Lett. 731, L10 (2011).
    DOI ↗
  14. [86]
    B. Diemer and M. Joyce, “An accurate physical model for halo concentrations,” Astrophys. J. 871, 168 (2019).
    DOI ↗
  15. [87]
    J. Tinker et al., “Toward a halo mass function for precision cosmology: the limits of universality,” Astrophys. J. 688, 709 (2008).
    DOI ↗
  16. [88]
    Z. S. Yuan and J. L. Han, “Dynamical state for 964 galaxy clusters from Chandra X-ray images,” MNRAS 497, 5485 (2020).
    DOI ↗
  17. [89]
    J. S. Bell, “On the Einstein Podolsky Rosen paradox,” Physics Physique Fizika 1, 195 (1964).
    DOI ↗
  18. [90]
    P. Touboul et al. (MICROSCOPE), “MICROSCOPE mission: final results of the test of the equivalence principle,” Phys. Rev. Lett. 129, 121102 (2022).
    DOI ↗

Parity, birefringence and constants

  1. [91]
    T. D. Lee and C. N. Yang, “Question of parity conservation in weak interactions,” Phys. Rev. 104, 254 (1956).
    DOI ↗
  2. [92]
    C. S. Wu et al., “Experimental test of parity conservation in beta decay,” Phys. Rev. 105, 1413 (1957).
    DOI ↗
  3. [93]
    S. M. Carroll, “Quintessence and the rest of the world: suppressing long-range interactions,” Phys. Rev. Lett. 81, 3067 (1998).
    DOI ↗
  4. [94]
    Y. Minami and E. Komatsu, “New extraction of the cosmic birefringence from the Planck 2018 polarization data,” Phys. Rev. Lett. 125, 221301 (2020).
    DOI ↗
  5. [95]
    P. Diego-Palazuelos et al., “Cosmic birefringence from the Planck data release 4,” Phys. Rev. Lett. 128, 091302 (2022).
    DOI ↗
  6. [96]
    J. R. Eskilt et al., “Constraints on early dark energy from isotropic cosmic birefringence,” Phys. Rev. Lett. 131, 121001 (2023).
    DOI ↗
  7. [97]
    J. K. Webb et al., “Indications of a spatial variation of the fine structure constant,” Phys. Rev. Lett. 107, 191101 (2011).
    DOI ↗
  8. [98]
    S. M. Kotuš, M. T. Murphy and R. F. Carswell, “High-precision limit on variation in the fine-structure constant from a single quasar absorption system,” MNRAS 464, 3679 (2017).
    DOI ↗
  9. [99]
    E. Tiesinga, P. J. Mohr, D. B. Newell and B. N. Taylor, “CODATA recommended values of the fundamental physical constants: 2018,” Rev. Mod. Phys. 93, 025010 (2021).
    DOI ↗
  10. [100]
    R. L. Workman et al. (Particle Data Group), “Review of Particle Physics,” PTEP 2022, 083C01 (2022).
    DOI ↗

Heterotic strings and noncommutative geometry

  1. [101]
    D. J. Gross, J. A. Harvey, E. Martinec and R. Rohm, “Heterotic string,” Phys. Rev. Lett. 54, 502 (1985).
    DOI ↗
  2. [102]
    P. Candelas, G. T. Horowitz, A. Strominger and E. Witten, “Vacuum configurations for superstrings,” Nucl. Phys. B 258, 46 (1985).
    DOI ↗
  3. [103]
    J. Distler and S. Garibaldi, “There is no ‘theory of everything’ inside E₈,” Commun. Math. Phys. 298, 419 (2010).
    DOI ↗
  4. [104]
    A. Connes, “Noncommutative Geometry,” Academic Press (1994).
    Publisher ↗
  5. [105]
    A. H. Chamseddine and A. Connes, “The spectral action principle,” Commun. Math. Phys. 186, 731 (1997).
    DOI ↗
  6. [106]
    A. Connes and H. Moscovici, “Type III and spectral triples,” Traces in Number Theory, Geometry and Quantum Fields (2008).
    arXiv ↗
  7. [107]
    M. F. Atiyah, V. K. Patodi and I. M. Singer, “Spectral asymmetry and Riemannian geometry. I,” Math. Proc. Camb. Phil. Soc. 77, 43 (1975).
    DOI ↗
  8. [108]
    C. G. Callan Jr. and J. A. Harvey, “Anomalies and fermion zero modes on strings and domain walls,” Nucl. Phys. B 250, 427 (1985).
    DOI ↗
  9. [109]
    A. Kitaev, “Anyons in an exactly solved model and beyond,” Ann. Phys. 321, 2 (2006).
    DOI ↗
  10. [110]
    L. B. Anderson, J. Gray, A. Lukas and E. Palti, “Two hundred heterotic standard models on smooth Calabi–Yau threefolds,” Phys. Rev. D 84, 106005 (2011).
    DOI ↗
  11. [111]
    V. Braun, Y.-H. He, B. A. Ovrut and T. Pantev, “A heterotic standard model,” Phys. Lett. B 618, 252 (2005).
    DOI ↗
  12. [112]
    H. Ooguri, C. Vafa and E. Verlinde, “Hartle–Hawking wave-function for flux compactifications: the entropic principle,” Lett. Math. Phys. 74, 311 (2005).
    DOI ↗
  13. [113]
    S. Gukov, K. Saraikin and C. Vafa, “Entropic principle and asymptotic freedom,” Phys. Rev. D 73, 066010 (2006).
    DOI ↗

Origins, cycles and foundations

  1. [114]
    B. S. DeWitt, “Quantum theory of gravity. I. The canonical theory,” Phys. Rev. 160, 1113 (1967).
    DOI ↗
  2. [115]
    J. B. Hartle and S. W. Hawking, “Wave function of the Universe,” Phys. Rev. D 28, 2960 (1983).
    DOI ↗
  3. [116]
    A. Vilenkin, “Creation of universes from nothing,” Phys. Lett. B 117, 25 (1982).
    DOI ↗
  4. [117]
    M. Bojowald, “Loop quantum cosmology,” Living Rev. Relativ. 11, 4 (2008).
    DOI ↗
  5. [118]
    A. H. Guth, “Inflationary universe: a possible solution to the horizon and flatness problems,” Phys. Rev. D 23, 347 (1981).
    DOI ↗
  6. [119]
    R. Penrose, “Cycles of Time: An Extraordinary New View of the Universe,” Bodley Head (2010).
    Publisher ↗
  7. [120]
    J. Khoury, B. A. Ovrut, P. J. Steinhardt and N. Turok, “Ekpyrotic universe: colliding branes and the origin of the hot big bang,” Phys. Rev. D 64, 123522 (2001).
    DOI ↗
  8. [121]
    C. Rovelli, “Relational quantum mechanics,” Int. J. Theor. Phys. 35, 1637 (1996).
    DOI ↗
  9. [122]
    L. Smolin, “Temporal naturalism,” Stud. Hist. Phil. Mod. Phys. 52, 86 (2015).
    DOI ↗
  10. [123]
    H. Everett III, “‘Relative state’ formulation of quantum mechanics,” Rev. Mod. Phys. 29, 454 (1957).
    DOI ↗
  11. [124]
    M. M. Vopson, “Is gravity evidence of a computational universe?,” AIP Advances 15, 045035 (2025).
    DOI ↗

The corpus

  1. [125]
    B. Weiner, “Little Bangs: the holographic nature of black holes,” IPI Letters 3(3), 34 (2025).
    DOI ↗
  2. [126]
    B. Weiner, “Destroying the multiverse: entropy mechanics in causal diamonds,” IPI Letters 3(5), 26 (2025).
    DOI ↗
  3. [127]
    B. Weiner, “Resolution of the BAO sound-horizon discrepancy via an information-theoretic extension of ΛCDM,” IPI Letters 4(3), 1 (2026).
    DOI ↗