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1

MAGLIARO, ELENA, and CLAUDIO PERINI. "LOCAL SPIN FOAMS." International Journal of Modern Physics D 21, no. 13 (2012): 1250090. http://dx.doi.org/10.1142/s0218271812500903.

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The central object of this paper is a holonomy formulation for spin foams. Within this new representation, we analyze three general requirements: locality, composition law and cylindrical consistency. In particular, cylindrical consistency is shown to fix the arbitrary normalization of the vertex amplitude in the case of Euclidean signature.
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2

Hnybida, Jeff. "Spin foams without spins." Classical and Quantum Gravity 33, no. 20 (2016): 205003. http://dx.doi.org/10.1088/0264-9381/33/20/205003.

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3

Conrady, Florian. "Spin foams with timelike surfaces." Classical and Quantum Gravity 27, no. 15 (2010): 155014. http://dx.doi.org/10.1088/0264-9381/27/15/155014.

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4

Denicola, Domenic, Matilde Marcolli, and Ahmad Zainy al-Yasry. "Spin foams and noncommutative geometry." Classical and Quantum Gravity 27, no. 20 (2010): 205025. http://dx.doi.org/10.1088/0264-9381/27/20/205025.

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5

Ashtekar, Abhay, Miguel Campiglia, and Adam Henderson. "Loop quantum cosmology and spin foams." Physics Letters B 681, no. 4 (2009): 347–52. http://dx.doi.org/10.1016/j.physletb.2009.10.042.

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6

Kamiński, Wojciech, Marcin Kisielowski, and Jerzy Lewandowski. "Spin-foams for all loop quantum gravity." Classical and Quantum Gravity 27, no. 9 (2010): 095006. http://dx.doi.org/10.1088/0264-9381/27/9/095006.

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7

Bianchi, Eugenio, Elena Magliaro, and Claudio Perini. "LQG propagator from the new spin foams." Nuclear Physics B 822, no. 1-2 (2009): 245–69. http://dx.doi.org/10.1016/j.nuclphysb.2009.07.016.

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8

Delcamp, Clement, and Bianca Dittrich. "Towards a phase diagram for spin foams." Classical and Quantum Gravity 34, no. 22 (2017): 225006. http://dx.doi.org/10.1088/1361-6382/aa8f24.

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9

Shirazi, Atousa Chaharsough, and Jonathan Engle. "Purely geometric path integral for spin-foams." Classical and Quantum Gravity 31, no. 7 (2014): 075010. http://dx.doi.org/10.1088/0264-9381/31/7/075010.

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10

Asante, Seth K., Bianca Dittrich, and Hal M. Haggard. "Discrete gravity dynamics from effective spin foams." Classical and Quantum Gravity 38, no. 14 (2021): 145023. http://dx.doi.org/10.1088/1361-6382/ac011b.

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11

Livine, Etera R. "Projected spin networks for Lorentz connection: linking spin foams and loop gravity." Classical and Quantum Gravity 19, no. 21 (2002): 5525–41. http://dx.doi.org/10.1088/0264-9381/19/21/316.

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12

Bahr, Benjamin. "Operator Spin Foams: holonomy formulation and coarse graining." Journal of Physics: Conference Series 360 (May 16, 2012): 012042. http://dx.doi.org/10.1088/1742-6596/360/1/012042.

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13

Livine, Etera R., and James P. Ryan. "N = 2 supersymmetric spin foams in three dimensions." Classical and Quantum Gravity 25, no. 17 (2008): 175014. http://dx.doi.org/10.1088/0264-9381/25/17/175014.

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14

Bianchi, Eugenio, and Alejandro Satz. "Semiclassical regime of Regge calculus and spin foams." Nuclear Physics B 808, no. 3 (2009): 546–68. http://dx.doi.org/10.1016/j.nuclphysb.2008.09.005.

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15

Kamiński, Wojciech, Marcin Kisielowski, and Jerzy Lewandowski. "Corrigendum: Spin-foams for all loop quantum gravity." Classical and Quantum Gravity 29, no. 4 (2012): 049502. http://dx.doi.org/10.1088/0264-9381/29/4/049502.

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16

Baccetti, Valentina, Etera R. Livine, and James P. Ryan. "The particle interpretation of N = 1 supersymmetric spin foams." Classical and Quantum Gravity 27, no. 22 (2010): 225022. http://dx.doi.org/10.1088/0264-9381/27/22/225022.

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17

Kisielowski, Marcin, Jerzy Lewandowski, and Jacek Puchta. "One vertex spin-foams with the dipole cosmology boundary." Classical and Quantum Gravity 30, no. 2 (2012): 025007. http://dx.doi.org/10.1088/0264-9381/30/2/025007.

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18

Oeckl, Robert. "Generalized lattice gauge theory, spin foams and state sum invariants." Journal of Geometry and Physics 46, no. 3-4 (2003): 308–54. http://dx.doi.org/10.1016/s0393-0440(02)00148-1.

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19

Baratin, Aristide, and Laurent Freidel. "Hidden quantum gravity in 4D Feynman diagrams: emergence of spin foams." Classical and Quantum Gravity 24, no. 8 (2007): 2027–60. http://dx.doi.org/10.1088/0264-9381/24/8/007.

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20

Dittrich, Bianca, and Frank C. Eckert. "Towards computational insights into the large-scale structure of spin foams." Journal of Physics: Conference Series 360 (May 16, 2012): 012004. http://dx.doi.org/10.1088/1742-6596/360/1/012004.

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21

Ambrosetti, Matteo, Riccardo Balzarotti, Cinzia Cristiani, Gianpiero Groppi, and Enrico Tronconi. "The Influence of the Washcoat Deposition Process on High Pore Density Open Cell Foams Activation for CO Catalytic Combustion." Catalysts 8, no. 11 (2018): 510. http://dx.doi.org/10.3390/catal8110510.

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Spin coating was evaluated as alternative deposition technique to the commonly used dip coating procedure for washcoat deposition on high-porosity metallic substrates. By using spin coating, the washcoating of metallic open cell foams with very high pore density (i.e., 580 μm in cell diameter) was finely controlled. Catalytic performances of samples prepared with conventional dip coating and spin coating were evaluated in CO catalytic combustion in air, using palladium as active phase and cerium oxide as carrier. The incipient wetness method was used to prepare catalytic powder, which was disp
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22

Oriti, D. "The Feynman propagator for quantum gravity: spin foams, proper time, orientation, causality and timeless-ordering." Brazilian Journal of Physics 35, no. 2b (2005): 481–88. http://dx.doi.org/10.1590/s0103-97332005000300019.

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23

Dittrich, Bianca, Steffen Gielen, and Susanne Schander. "Lorentzian quantum cosmology goes simplicial." Classical and Quantum Gravity 39, no. 3 (2022): 035012. http://dx.doi.org/10.1088/1361-6382/ac42ad.

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Abstract We employ the methods of discrete (Lorentzian) Regge calculus for analysing Lorentzian quantum cosmology models with a special focus on discrete analogues of the no-boundary proposal for the early universe. We use a simple four-polytope, a subdivided four-polytope and shells of discrete three-spheres as triangulations to model a closed universe with cosmological constant, and examine the semiclassical path integral for these different choices. We find that the shells give good agreement with continuum results for small values of the scale factor and in particular for finer discretisat
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24

Raymo, Chet. "A Spin on Spin Foam." Scientific American 285, no. 2 (2001): 91–92. http://dx.doi.org/10.1038/scientificamerican0801-91.

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25

Baez, John C. "Spin foam models." Classical and Quantum Gravity 15, no. 7 (1998): 1827–58. http://dx.doi.org/10.1088/0264-9381/15/7/004.

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26

Capoferri, Matteo, Nikolai Saveliev, and Dmitri Vassiliev. "Classification of first order sesquilinear forms." Reviews in Mathematical Physics 32, no. 09 (2020): 2050027. http://dx.doi.org/10.1142/s0129055x20500270.

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A natural way to obtain a system of partial differential equations on a manifold is to vary a suitably defined sesquilinear form. The sesquilinear forms we study are Hermitian forms acting on sections of the trivial [Formula: see text]-bundle over a smooth [Formula: see text]-dimensional manifold without boundary. More specifically, we are concerned with first order sesquilinear forms, namely, those generating first order systems. Our goal is to classify such forms up to [Formula: see text] gauge equivalence. We achieve this classification in the special case of [Formula: see text] and [Formul
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27

TORRES-GOMEZ, ALEXANDER, and KIRILL KRASNOV. "FERMIONS VIA SPINOR-VALUED ONE-FORMS." International Journal of Modern Physics A 28, no. 24 (2013): 1350113. http://dx.doi.org/10.1142/s0217751x13501133.

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Spinor-valued one-forms (Rarita–Schwinger fields) are normally used in the context of supergravity, where they describe spin 3/2 particles (gravitinos). Indeed, when decomposed into irreducible representations of the Lorentz group such a field contains both a spin 1/2 and a spin 3/2 component, and the Rarita–Schwinger Lagrangian is designed to make only the spin 3/2 propagate. The opposite construction is also known to be possible. We propose and study a new simple spinor-valued one-form field Lagrangian that describes a propagating spin 1/2 particle.
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28

GIONTI, S. J. GABRIELE. "SPIN FOAM AND REGGE CALCULUS." International Journal of Modern Physics: Conference Series 23 (January 2013): 363–72. http://dx.doi.org/10.1142/s2010194513011628.

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Recent results in Local Regge Calculus are confronted with Spin Foam Formalism. Introducing Barrett-Crane Quantization in Local Regge Calculus makes it possible to associate a unique Spin jh with an hinge h, fulfilling one of the requirements of Spin Foam definition. It is shown that inter-twiner terms of Spin Foam can follow from the closure constraint in Local Regge Calculus.
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29

Bahr, Benjamin, Frank Hellmann, Wojciech Kamiński, Marcin Kisielowski, and Jerzy Lewandowski. "Operator spin foam models." Classical and Quantum Gravity 28, no. 10 (2011): 105003. http://dx.doi.org/10.1088/0264-9381/28/10/105003.

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30

MIKOVIĆ, A. "NEW SPIN FOAM MODELS OF QUANTUM GRAVITY." Modern Physics Letters A 20, no. 17n18 (2005): 1305–13. http://dx.doi.org/10.1142/s0217732305017779.

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We give a brief and a critical review of the Barret-Crane spin foam models of quantum gravity. Then we describe two new spin foam models which are obtained by direct quantization of General Relativity and do not have some of the drawbacks of the Barret-Crane models. These are the model of spin foam invariants for the embedded spin networks in loop quantum gravity and the spin foam model based on the integration of the tetrads in the path integral for the Palatini action.
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31

Issakova, Zh, A. K. Danlybayeva, and A. Beysenkali. "Various forms of spin systems." Vestnik KazNRTU 138, no. 2 (2020): 732–36. http://dx.doi.org/10.51301/vest.su.2020.v138.i2.131.

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32

Mahammad Rafter, Murni Faridah, Sufizar Ahmad, Rosdi Ibrahim, Rosniza Hussin, and H. M. Taib. "Development of Stainless Steel (SS316L) Foam with Different Composition Using Compaction Method." Advanced Materials Research 1087 (February 2015): 86–90. http://dx.doi.org/10.4028/www.scientific.net/amr.1087.86.

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<span><span style="font-family: Times New Roman; font-size: medium;" face="Times New Roman" size="3"> </span> <p><span style="font-size: medium;" size="3"><span style="font-family: Times New Roman;" face="Times New Roman">Powder metallurgy stainless steels are retains unique benefits in preparation of porous metals due to its low cost, better wear, precise size control and corrosion resistance which are significant quality displays. In this study, the fabrication of open cellular stainless steel (SS316L) foams by using a crystalline sugar via compaction meth
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33

Pollack, Aaron. "The spin -function on for Siegel modular forms." Compositio Mathematica 153, no. 7 (2017): 1391–432. http://dx.doi.org/10.1112/s0010437x17007114.

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We give a Rankin–Selberg integral representation for the Spin (degree eight) $L$-function on $\operatorname{PGSp}_{6}$ that applies to the cuspidal automorphic representations associated to Siegel modular forms. If $\unicode[STIX]{x1D70B}$ corresponds to a level-one Siegel modular form $f$ of even weight, and if $f$ has a nonvanishing maximal Fourier coefficient (defined below), then we deduce the functional equation and finiteness of poles of the completed Spin $L$-function $\unicode[STIX]{x1D6EC}(\unicode[STIX]{x1D70B},\text{Spin},s)$ of $\unicode[STIX]{x1D70B}$.
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34

Freidel, Laurent, and David Louapre. "Diffeomorphisms and spin foam models." Nuclear Physics B 662, no. 1-2 (2003): 279–98. http://dx.doi.org/10.1016/s0550-3213(03)00306-7.

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35

Baez, John C., and J. Daniel Christensen. "Positivity of spin foam amplitudes." Classical and Quantum Gravity 19, no. 8 (2002): 2291–305. http://dx.doi.org/10.1088/0264-9381/19/8/316.

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36

Bojowald, Martin, and Alejandro Perez. "Spin foam quantization and anomalies." General Relativity and Gravitation 42, no. 4 (2009): 877–907. http://dx.doi.org/10.1007/s10714-009-0892-9.

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37

Blackmore, R. S., T. Brittain, P. M. A. Gadsby, C. Greenwood, and A. J. Thomson. "Two structurally and kinetically distinct forms of Wolinella succinogenes nitrite reductase." Biochemical Journal 271, no. 1 (1990): 259–64. http://dx.doi.org/10.1042/bj2710259.

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It is shown that the oxidized form of the hexa-haem nitrite reductase of Wolinella succinogenes exists in two structurally and functionally distinct forms, termed ‘resting’ and ‘redox-cycled’. The nitrite reductase as initially isolated, termed ‘resting’, has five low-spin ferrihaem groups and one high-spin ferrihaem group. The reduction of these haem groups by Na2S2O4 occurs in two kinetically and spectrally distinct phases. In the slower phase the haem groups are reduced by dithionite with a limiting rate of 4 s-1. If the enzyme is re-oxidized after reduction with dithionite or with methyl v
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38

Dittrich, Bianca, Frank C. Eckert, and Mercedes Martin-Benito. "Coarse graining methods for spin net and spin foam models." New Journal of Physics 14, no. 3 (2012): 035008. http://dx.doi.org/10.1088/1367-2630/14/3/035008.

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39

Miković, A. "Quantum Field Theory of Open Spin Networks and New Spin Foam Models." International Journal of Modern Physics A 18, supp02 (2003): 83–96. http://dx.doi.org/10.1142/s0217751x0301797x.

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We describe how a spin-foam state sum model can be reformulated as a quantum field theory of spin networks, such that the Feynman diagrams of that field theory are the spin-foam amplitudes. In the case of open spin networks, we obtain a new type of state-sum models, which we call the matter spin foam models. In this type of state-sum models, one labels both the faces and the edges of the dual two-complex for a manifold triangulation with the simple objects from a tensor category. In the case of Lie groups, such a model corresponds to a quantization of a theory whose fields are the principal bu
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40

Hilgenfeldt, Sascha, Shehla Arif, and Jih-Chiang Tsai. "Foam: a multiphase system with many facets." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 366, no. 1873 (2008): 2145–59. http://dx.doi.org/10.1098/rsta.2008.0004.

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Liquid foams are an extreme case of multiphase flow systems: capable of flow despite a very high dispersed phase volume fraction, yet exhibiting many characteristics of not only viscoelastic materials but also elastic solids. The non-trivial, well-defined geometry of foam bubbles is at the heart of a plethora of dynamical processes on widely varying length and time scales. We highlight recent developments in foam drainage (liquid dynamics) and foam rheology (flow of the entire gas–liquid system), emphasizing that many poorly understood features of other materials have precisely defined and qua
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41

UNNIKRISHNAN, C. S., and G. T. GILLIES. "SPIN-SURFING THE SPACE–TIME FOAM." International Journal of Modern Physics D 19, no. 14 (2010): 2239–45. http://dx.doi.org/10.1142/s0218271810018517.

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We present the quantum spin as a novel test tool for probing directly the Planck scale space–time foam of quantum gravity. Quantum fluctuations of spatial support for the electric vector associated with the spin-one photon affect its polarization sufficiently to allow us to gain deep insights and unprecedented constraints on the most important and fundamental aspect of quantum gravity — the fluctuating structure of space–time with a Planck scale three-dimensional web. We show that the survival of strong polarization of X-rays and gamma rays from the Crab Nebula rejects the conventional space–t
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42

Bonzom, Valentin, Etera R. Livine, and Simone Speziale. "Recurrence relations for spin foam vertices." Classical and Quantum Gravity 27, no. 12 (2010): 125002. http://dx.doi.org/10.1088/0264-9381/27/12/125002.

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43

Girelli, Florian, Robert Oeckl, and Alejandro Perez. "Spin foam diagrammatics and topological invariance." Classical and Quantum Gravity 19, no. 6 (2002): 1093–108. http://dx.doi.org/10.1088/0264-9381/19/6/305.

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44

Markopoulou, Fotini. "Coarse graining in spin foam models." Classical and Quantum Gravity 20, no. 5 (2003): 777–99. http://dx.doi.org/10.1088/0264-9381/20/5/301.

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45

Perez, Alejandro. "Spin foam models for quantum gravity." Classical and Quantum Gravity 20, no. 6 (2003): R43—R104. http://dx.doi.org/10.1088/0264-9381/20/6/202.

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46

Bahr, Benjamin, Bianca Dittrich, and James P. Ryan. "Spin Foam Models with Finite Groups." Journal of Gravity 2013 (July 24, 2013): 1–28. http://dx.doi.org/10.1155/2013/549824.

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Spin foam models, loop quantum gravity, and group field theory are discussed as quantum gravity candidate theories and usually involve a continuous Lie group. We advocate here to consider quantum gravity-inspired models with finite groups, firstly as a test bed for the full theory and secondly as a class of new lattice theories possibly featuring an analogue diffeomorphism symmetry. To make these notes accessible to readers outside the quantum gravity community, we provide an introduction to some essential concepts in the loop quantum gravity, spin foam, and group field theory approach and poi
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47

Kamiński, Wojciech, and Hanno Sahlmann. "The Hessian in Spin Foam Models." Annales Henri Poincaré 20, no. 12 (2019): 3927–53. http://dx.doi.org/10.1007/s00023-019-00839-7.

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Abstract We fill one of the remaining gaps in the asymptotic analysis of the vertex amplitudes of the Engle–Pereira–Rovelli–Livine (EPRL) spin foam models: We show that the Hessian is nondegenerate for the stationary points that corresponds to geometric nondegenerate 4 simplices. Our analysis covers the case when all faces are spacelike.
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48

Barrett, John W., Richard J. Dowdall, Winston J. Fairbairn, Henrique Gomes, Frank Hellmann, and Roberto Pereira. "Asymptotics of 4d spin foam models." General Relativity and Gravitation 43, no. 9 (2010): 2421–36. http://dx.doi.org/10.1007/s10714-010-0983-7.

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49

GARCÍA-ISLAS, J. MANUEL. "MEASUREMENTS AND INFORMATION IN SPIN FOAM MODELS." International Journal of Modern Physics A 27, no. 28 (2012): 1250164. http://dx.doi.org/10.1142/s0217751x12501643.

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In the three-dimensional spin foam model of quantum gravity with a cosmological constant, there exists a set of observables associated with spin network graphs. A set of probabilities is calculated from these observables, and hence the associated Shannon entropy can be defined. We present the Shannon entropy associated with these observables and find some interesting bounded inequalities. The problem relates measurements, entropy and information theory in a simple way which we explain.
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50

Mielczarek, Jakub. "Spin Foam Vertex Amplitudes on Quantum Computer—Preliminary Results." Universe 5, no. 8 (2019): 179. http://dx.doi.org/10.3390/universe5080179.

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Vertex amplitudes are elementary contributions to the transition amplitudes in the spin foam models of quantum gravity. The purpose of this article is to make the first step towards computing vertex amplitudes with the use of quantum algorithms. In our studies we are focused on a vertex amplitude of 3+1 D gravity, associated with a pentagram spin network. Furthermore, all spin labels of the spin network are assumed to be equal j = 1 / 2 , which is crucial for the introduction of the intertwiner qubits. A procedure of determining modulus squares of vertex amplitudes on universal quantum compute
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