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Appendix A: External References

1. Abramsky, S. (Ed.). (2023).

"Samson Abramsky on Logic and Structure in Computer Science and Beyond"

Springer
- Link: https://link.springer.com/book/10.1007/978-3-031-24117-8

2. Abramsky, S., Barbosa, R. S., & Searle, A. (2024).

"Combining contextuality and causality: a game semantics approach"

Philosophical Transactions of the Royal Society A, 382(2270), 20230002
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3. Acharya, R., et al. (2024).

"Bridging classical and quantum: Group-theoretic approach to quantum circuit simulation"

Physical Review Letters, 132(15), 150602
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4. Adams, R. A., & Fournier, J. J. (2003).

"Sobolev Spaces"

Link: https://www.sciencedirect.com/book/9780120441433/sobolev-spaces

5. Aleksandrowicz, G., et al. (2019).

"Qiskit: An Open-source Framework for Quantum Computing"

Link: https://zenodo.org/record/2562111

6. Ambjørn, J., Jurkiewicz, J., & Loll, R. (2005).

"Reconstructing the Universe"

Link: https://arxiv.org/abs/hep-th/0505154

7. Anderson, E. (2012).

"The Problem of Time in Quantum Gravity"

Link: https://arxiv.org/abs/1009.2157

8. Ashtekar, A. (1986).

"New Variables for Classical and Quantum Gravity"

Link: https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.57.2244

9. Awodey, S. (2010).

"Category Theory (2nd ed.)"

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10. Baader, F., & Nipkow, T. (1998).

"Term Rewriting and All That"

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11. Barbour, A. D., Holst, L., & Janson, S. (1992).

"Poisson Approximation"

Oxford University Press
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12. Bekenstein, J. D. (1981).

"A universal upper bound on the entropy-to-energy ratio for bounded systems"

Link: https://journals.aps.org/prd/abstract/10.1103/PhysRevD.23.287

13. Belkin, M., & Niyogi, P. (2003).

"Laplacian Eigenmaps for Dimensionality Reduction and Data Representation"

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14. Bennett, C. H. (1982).

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15. Bollobás, B. (2001).

"Random Graphs (2nd ed.)"

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16. Bombelli, L., Lee, J., Meyer, D., & Sorkin, R. D. (1987).

"Space-time as a causal set"

Link: https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.59.521

17. Bondy, J. A., & Murty, U. S. R. (2008).

"Graph Theory"

Link: https://link.springer.com/book/9781846289699

18. Calder, J., & García Trillos, N. (2022).

"Improved consistency for graph Laplacian continuum limits"

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19. Cheeger, J., Colding, T. H., & Tian, G. (1997).

"On the singularities of spaces with bounded Ricci curvature"

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20. Coleman, S. (1977).

"The Uses of Instantons"

Link: http://www.physics.mcgill.ca/~jcline/742/Coleman-Instantons.pdf

21. Dauphinais, G., Kribs, D. W., & Vasmer, M. (2024).

"Stabilizer Formalism for Operator Algebra Quantum Error Correction"

Link: https://quantum-journal.org/papers/q-2024-02-21-1261/pdf

22. Diestel, R. (2017).

"Graph Theory (5th ed.)"

Springer
- Link: https://diestel-graph-theory.com/

23. Dowker, F. (2005).

"Causal sets and the deep structure of spacetime"

Link: https://arxiv.org/abs/gr-qc/0508109

24. Enderton, H. B. (2001).

"A Mathematical Introduction to Logic (2nd ed.)"

Link: https://www.sciencedirect.com/book/9780122384523/a-mathematical-introduction-to-logic

25. Erdős, P., & Rényi, A. (1960).

"On the evolution of random graphs"

Link: https://users.renyi.hu/~p_erdos/1960-10.pdf

26. Fuchs, C. A. (2010).

"QBism, The Perimeter of Quantum Reality"

Link: https://arxiv.org/abs/1003.5209

27. Gambini, R., García-Pintos, L. P., & Pullin, J. (2023).

"The Page-Wootters mechanism in canonical quantum gravity"

Link: https://arxiv.org/abs/0809.4235

28. Gillespie, D. T. (1977).

"Exact stochastic simulation of coupled chemical reactions"

The Journal of Physical Chemistry, 81(25), 2340-2361
- Link: https://pubs.acs.org/doi/10.1021/j100540a008

29. Gottesman, D. (1997).

"Stabilizer Codes and Quantum Error Correction"

Link: https://arxiv.org/abs/quant-ph/9705052

30. Gödel, K. (1931).

Link: https://homepages.uc.edu/~martinj/History_of_Logic/Godel/Godel%20%E2%80%93%20On%20Formally%20Undecidable%20Propositions%20of%20Principia%20Mathematica%201931.pdf

31. Gukov, S., Takayanagi, T., & Toumbas, N. (2004).

"Flux backgrounds in 2D string theory"

Link: https://arxiv.org/abs/hep-th/0312208

32. Harlow, D. (2016).

"Jerusalem Lectures on Black Holes and Quantum Information"

Link: https://arxiv.org/abs/1409.1231

33. Hawking, S. W., & Ellis, G. F. R. (1973).

"The Large Scale Structure of Space-Time"

Link: https://doi.org/10.1017/CBO9780511524646

34. Jacobson, T. (1995).

"Thermodynamics of Spacetime: The Einstein Equation of State"

Link: https://arxiv.org/abs/gr-qc/9504004

35. Janson, S. (1987).

"Poisson approximation for large cycles in random graphs"

Link: http://stat.wharton.upenn.edu/~steele/Courses/531/531Resoureces/Janson1987PoissonProcess.pdf

36. Jones, V. F. R. (1985).

"A polynomial invariant for knots via a von Neumann algebra"

Link: https://www.ams.org/bull/1985-12-01/S0273-0979-1985-15304-2/

37. Jost, J., & Liu, S. (2016).

"Ollivier's Ricci curvature, local clustering and curvature-dimension inequalities on graphs"

Link: https://arxiv.org/abs/1103.4037

38. Kitaev, A. Y. (2003).

"Fault-tolerant quantum computation by anyons"

Link: https://arxiv.org/abs/quant-ph/9707021

39. Lamport, L. (1978).

"Time, clocks, and the ordering of events in a distributed system"

Link: https://doi.org/10.1145/359545.359563

40. Landauer, R. (1991).

"Information is Physical"

Link: https://doi.org/10.1063/1.881299

41. Leibniz-Clarke Correspondence (1715-1716).

Link: https://personal.lse.ac.uk/robert49/teaching/ph103/pdf/Ariew_1715LeibnizClarkeCorrespondence.pdf

42. Maldacena, J. M. (1998).

"The Large N Limit of Superconformal Field Theories and Supergravity"

Link: https://arxiv.org/abs/hep-th/9711200

43. Marker, D. (2002).

"Model Theory: An Introduction"

Link: https://link.springer.com/book/10.1007/b98860

44. Mousa, M., Jamadagni, A., et al. (2025).

"Pauli Stabilizer Models for Gapped Boundaries of Twisted Quantum Doubles and Applications to Composite Dimensional Codes"

Link: https://arxiv.org/abs/2508.19245

45. Ollivier, Y. (2009).

"Ricci curvature of Markov chains on metric spaces"

Link: https://arxiv.org/pdf/math/0701886

46. Otto, F., Mansuroglu, R., Schuch, N., Gühne, O., & Sahlmann, H. (2025).

"Hyperinvariant Spin Network States – An AdS/CFT Model from First Principles"

Link: https://arxiv.org/abs/2510.06602

47. Padmanabhan, T. (2009).

"Thermodynamical Aspects of Gravity: New Insights"

Link: https://arxiv.org/abs/0911.5004

48. Page, D. N. (1993).

"Information in Black Hole Radiation"

Link: https://arxiv.org/abs/hep-th/9306083

49. Page, D. N., & Wootters, W. K. (1983).

"Evolution without evolution: Dynamics described by stationary observables"

Link: https://journals.aps.org/prd/abstract/10.1103/PhysRevD.27.2885

50. Palmigiano, A., & Sadrzadeh, M. (Eds.). (2023).

"Samson Abramsky on Logic and Structure in Computer Science and Beyond"

Link: https://link.springer.com/book/10.1007/978-3-031-24117-8

51. Pastawski, F., Yoshida, B., Harlow, D., & Preskill, J. (2015).

"Holographic quantum error-correcting codes: Toy models for the bulk/boundary correspondence"

Link: https://arxiv.org/abs/1503.06237

52. Penington, G. (2019).

"Entanglement Wedge Reconstruction and the Information Paradox"

Link: https://arxiv.org/abs/1905.08255

53. Rodrigues, F. L. S., & Lutz, E. (2025).

"Far-from-equilibrium thermodynamics of non-Abelian thermal states"

Link: https://arxiv.org/abs/2510.04788

54. Rovelli, C. (1996).

"Relational Quantum Mechanics"

Link: https://arxiv.org/abs/quant-ph/9609002

55. Rovelli, C., & Smolin, L. (1990).

"Loop space representation of quantum general relativity"

Link: https://doi.org/10.1016/0550-3213(90)90019-A

56. Ryu, S., & Takayanagi, T. (2006).

"Holographic Derivation of Entanglement Entropy from AdS/CFT"

Link: https://arxiv.org/abs/hep-th/0603001

57. Sachs, H. (1962).

"Über selbstkomplementäre Graphen"

Publicationes Mathematicae Debrecen, 9, 270-288
- Link: https://scispace.com/pdf/uber-selbstkomplementare-graphen-2cpuwz9n.pdf

58. Sati, H., & Schreiber, U. (2025).

"The quantum monadology"

Link: https://ncatlab.org/schreiber/files/QuantumMonadology-250718.pdf

59. Singer, A., & Wu, H.-T. (2013).

"Vector diffusion maps and the connection graph Laplacian"

Link: https://arxiv.org/abs/1102.0075

60. Sorkin, R. D. (2005).

"Causal sets: Discrete gravity"

In Lectures on Quantum Gravity (pp. 305-327). Springer
- Link: https://arxiv.org/abs/gr-qc/0309009

61. Steinberg, M. et al. (2025).

"Universal Fault-Tolerant Logic with Heterogeneous Holographic Codes"

Link: https://arxiv.org/abs/2504.10386

62. Uustalu, T., & Vene, V. (2008).

"Comonadic notions of computation"

Link: https://www.sciencedirect.com/science/article/pii/S1571066108003435

63. van der Hoorn, P., & Stegehuis, C. (2020).

"Mean-field bounds for the k-core in random graphs"

Electronic Journal of Probability, 25
- Link: https://arxiv.org/abs/2008.01209

64. van Kampen, N. G. (1992).

"Stochastic Processes in Physics and Chemistry (2nd ed.)"

North-Holland
- Link: https://books.google.com/books?id=N6II-6HlPxEC

65. van Luxburg, U., Belkin, M., & Bousquet, O. (2008).

"Consistency of spectral clustering"

Link: http://misha.belkin-wang.org/papers/CLEM_08.pdf

66. Verlinde, E. (2011).

"On the Origin of Gravity and the Laws of Newton"

Link: https://arxiv.org/abs/1001.0785

67. Wang, W. (2024).

"Building holographic code from the boundary"

Link: https://arxiv.org/abs/2407.10271

68. Wheeler, J. A. (1990).

"Information, physics, quantum: The search for links"

Link: https://philpapers.org/archive/WHEIPQ.pdf

69. Wilson, K. G. (1975).

"The renormalization group: Critical phenomena and the Kondo problem"

Link: https://journals.aps.org/rmp/abstract/10.1103/RevModPhys.47.773

70. Witten, E. (1989).

"Quantum Field Theory and the Jones Polynomial"

Link: https://projecteuclid.org/journals/communications-in-mathematical-physics/volume-121/issue-3/Quantum-field-theory-and-the-Jones-polynomial/cmp/1104178138.full

71. Woess, W. (2000).

"Random Walks on Infinite Graphs and Groups"

Link: http://math.bme.hu/~gabor/oktatas/SztoM/Woess.RWonInfinGrGp.pdf

72. Wolfram, S. (2002).

"A New Kind of Science"

Link: https://www.wolframscience.com/nks/

73. Wolfram, S. (2020).

"A Project to Find the Fundamental Theory of Physics"

Link: https://writings.stephenwolfram.com/2020/04/finally-we-may-have-a-path-to-the-fundamental-theory-of-physics-and-its-beautiful/

74. Zurek, W. H. (2003).

"Decoherence, Einselection, and the Quantum Origins of the Classical"

Link: https://arxiv.org/abs/quant-ph/0105127

1. Abramsky, S. (Ed.). (2023).
2. Abramsky, S., Barbosa, R. S., & Searle, A. (2024).
3. Acharya, R., et al. (2024).
4. Adams, R. A., & Fournier, J. J. (2003).
5. Aleksandrowicz, G., et al. (2019).
6. Ambjørn, J., Jurkiewicz, J., & Loll, R. (2005).
7. Anderson, E. (2012).
8. Ashtekar, A. (1986).
9. Awodey, S. (2010).
10. Baader, F., & Nipkow, T. (1998).
11. Barbour, A. D., Holst, L., & Janson, S. (1992).
12. Bekenstein, J. D. (1981).
13. Belkin, M., & Niyogi, P. (2003).
14. Bennett, C. H. (1982).
15. Bollobás, B. (2001).
16. Bombelli, L., Lee, J., Meyer, D., & Sorkin, R. D. (1987).
17. Bondy, J. A., & Murty, U. S. R. (2008).
18. Calder, J., & García Trillos, N. (2022).
19. Cheeger, J., Colding, T. H., & Tian, G. (1997).
20. Coleman, S. (1977).
21. Dauphinais, G., Kribs, D. W., & Vasmer, M. (2024).
22. Diestel, R. (2017).
23. Dowker, F. (2005).
24. Enderton, H. B. (2001).
25. Erdős, P., & Rényi, A. (1960).
26. Fuchs, C. A. (2010).
27. Gambini, R., García-Pintos, L. P., & Pullin, J. (2023).
28. Gillespie, D. T. (1977).
29. Gottesman, D. (1997).
30. Gödel, K. (1931).
31. Gukov, S., Takayanagi, T., & Toumbas, N. (2004).
32. Harlow, D. (2016).
33. Hawking, S. W., & Ellis, G. F. R. (1973).
34. Jacobson, T. (1995).
35. Janson, S. (1987).
36. Jones, V. F. R. (1985).
37. Jost, J., & Liu, S. (2016).
38. Kitaev, A. Y. (2003).
39. Lamport, L. (1978).
40. Landauer, R. (1991).
41. Leibniz-Clarke Correspondence (1715-1716).
42. Maldacena, J. M. (1998).
43. Marker, D. (2002).
44. Mousa, M., Jamadagni, A., et al. (2025).
45. Ollivier, Y. (2009).
46. Otto, F., Mansuroglu, R., Schuch, N., Gühne, O., & Sahlmann, H. (2025).
47. Padmanabhan, T. (2009).
48. Page, D. N. (1993).
49. Page, D. N., & Wootters, W. K. (1983).
50. Palmigiano, A., & Sadrzadeh, M. (Eds.). (2023).
51. Pastawski, F., Yoshida, B., Harlow, D., & Preskill, J. (2015).
52. Penington, G. (2019).
53. Rodrigues, F. L. S., & Lutz, E. (2025).
54. Rovelli, C. (1996).
55. Rovelli, C., & Smolin, L. (1990).
56. Ryu, S., & Takayanagi, T. (2006).
57. Sachs, H. (1962).
58. Sati, H., & Schreiber, U. (2025).
59. Singer, A., & Wu, H.-T. (2013).
60. Sorkin, R. D. (2005).
61. Steinberg, M. et al. (2025).
62. Uustalu, T., & Vene, V. (2008).
63. van der Hoorn, P., & Stegehuis, C. (2020).
64. van Kampen, N. G. (1992).
65. van Luxburg, U., Belkin, M., & Bousquet, O. (2008).
66. Verlinde, E. (2011).
67. Wang, W. (2024).
68. Wheeler, J. A. (1990).
69. Wilson, K. G. (1975).
70. Witten, E. (1989).
71. Woess, W. (2000).
72. Wolfram, S. (2002).
73. Wolfram, S. (2020).
74. Zurek, W. H. (2003).