Volume 27 · Gaia to Geometry · p. 331
Works Cited
Each entry states where it is used and what it is used for. A source listed as evidence carries weight in the argument; a source listed as method supplies a procedure; a source listed as reference or illustration shows the pattern without proving it.
Allen, L., M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman. “Orbital Angular Momentum of Light and the Transformation of Laguerre-Gaussian Laser Modes.” Physical Review A 45, no. 11 (1992): 8185–8189.
Foundational — helical phase fronts and measurable topological charge
Used in ch. 9 (pp. 117–132)
Artin, Emil. “Theory of Braids.” Annals of Mathematics 48, no. 1 (1947): 101–126.
Foundational — the braid group as mathematics rather than metaphor
Used in ch. 10 (pp. 133–148) · ch. 12 (pp. 165–178)
Bell, John S. “On the Einstein Podolsky Rosen Paradox.” Physics 1, no. 3 (1964): 195–200.
Foundational — correlations that no local signal account reproduces
Used in ch. 14 (pp. 193–206)
Berry, M. V. “Quantal Phase Factors Accompanying Adiabatic Changes.” Proceedings of the Royal Society of London A 392, no. 1802 (1984): 45–57.
Foundational — geometric phase as a property of the circuit, not the rate
Used in ch. 8 (pp. 105–116) · ch. 11 (pp. 149–164)
Bullmore, Edward T., and Olaf Sporns. “Complex Brain Networks: Graph Theoretical Analysis of Structural and Functional Systems.” Nature Reviews Neuroscience 10, no. 3 (2009): 186–198.
Reference — the graph vocabulary the resemblance borrows from
Used in ch. 14 (pp. 193–206)
Bunimovich, Leonid A. “On the Ergodic Properties of Nowhere Dispersing Billiards.” Communications in Mathematical Physics 65, no. 3 (1979): 295–312.
Foundational — the chaotic billiard used as a quantum-chaos test bed
Used in ch. 4 (pp. 45–60)
Hasan, M. Z., and C. L. Kane. “Colloquium: Topological Insulators.” Reviews of Modern Physics 82, no. 4 (2010): 3045–3067.
Reference — invariants and protected boundary states
Used in ch. 11 (pp. 149–164)
Horodecki, Ryszard, Paweł Horodecki, Michał Horodecki, and Karol Horodecki. “Quantum Entanglement.” Reviews of Modern Physics 81, no. 2 (2009): 865–942.
Reference — the structure of multipartite entanglement
Used in ch. 14 (pp. 193–206)
Jones, R. Clark. “A New Calculus for the Treatment of Optical Systems. I. Description and Discussion of the Calculus.” Journal of the Optical Society of America 31, no. 7 (1941): 488–493.
Foundational — the two-component calculus borrowed for polarisation states
Used in ch. 8 (pp. 105–116)
Kepler, Johannes. Harmonices Mundi. Linz: Johannes Planck, 1619. English: The Harmony of the World. Translated by E. J. Aiton, A. M. Duncan, and J. V. Field. Philadelphia: American Philosophical Society, 1997.
Historical source — celestial harmony as geometric proportion, not acoustic fact
Used in ch. 20 (pp. 277–290)
@LensScientific. X post, 22 August 2026. https://x.com/LensScientific/status/2091031962609922512.
https://x.com/LensScientific/status/2091031962609922512
Prompt — the Standard Model chart as a possible lower-dimensional projection of field excitations
Used in ch. 20 (pp. 277–290)
Lorenz, Edward N. “Deterministic Nonperiodic Flow.” Journal of the Atmospheric Sciences 20, no. 2 (1963): 130–141.
Foundational — the original strange-attractor model and its sensitive dependence on initial conditions
Used in ch. 20 (pp. 277–290)
Madelung, Erwin. “Quantentheorie in hydrodynamischer Form.” Zeitschrift für Physik 40, no. 3–4 (1927): 322–326.
Historical source — the original fluid reformulation of the Schrödinger equation
Used in ch. 4 (pp. 45–60)
Maldacena, Juan. “The Large N Limit of Superconformal Field Theories and Supergravity.” Advances in Theoretical and Mathematical Physics 2, no. 2 (1998): 231–252.
Foundational — the correspondence at the centre of the holographic programme
Used in ch. 6 (pp. 73–90)
@matheorems. X post, 22 August 2026. https://x.com/matheorems/status/2090881119516492150.
Prompt — the Lorenz attractor video that triggered this section
Used in ch. 20 (pp. 277–290)
Misner, Charles W., Kip S. Thorne, and John A. Wheeler. Gravitation. San Francisco: W. H. Freeman, 1973.
Reference — the classical Riemannian statement of General Relativity
Used in ch. 1 (pp. 1–14)
Nayak, Chetan, Steven H. Simon, Ady Stern, Michael Freedman, and Sankar Das Sarma. “Non-Abelian Anyons and Topological Quantum Computation.” Reviews of Modern Physics 80, no. 3 (2008): 1083–1159.
Reference — braiding as an operation, not an analogy
Used in ch. 12 (pp. 165–178)
Pancharatnam, S. “Generalized Theory of Interference and Its Applications.” Proceedings of the Indian Academy of Sciences A 44 (1956): 247–262.
Foundational — the geometric phase acquired on a closed polarisation circuit
Used in ch. 8 (pp. 105–116)
Peters, L., et al. “Millimetre-wave comb generated by an optical microcomb.” Nature Communications (2026). https://doi.org/10.1038/s41467-026-76747-2. Summary coverage: Loughborough University, “‘Rainbow-on-a-chip’ could help unlock 6G networks and precision timing for quantum technologies,” Phys.org, 21 August 2026.
Peer-reviewed — engineered spectral surplus with chosen line spacing and amplitudes
Used in ch. 20 (pp. 277–290)
Ryu, Shinsei, and Tadashi Takayanagi. “Holographic Derivation of Entanglement Entropy from AdS/CFT.” Physical Review Letters 96, no. 18 (2006): 181602.
Reference — entanglement entropy as boundary data for bulk geometry
Used in ch. 6 (pp. 73–90)
Sakharov, Andrei D. “Vacuum Quantum Fluctuations in Curved Space and the Theory of Gravitation.” Soviet Physics Doklady 12 (1968): 1040–1041.
Historical source — emergent-gravity analogy
Used in ch. 5 (pp. 61–72) · ch. 6 (pp. 73–90)
Shakespeare, William. The Merchant of Venice. c. 1596. Quoted from Act 5, Scene 1 (Lorenzo: “Look how the floor of heaven / Is thick inlaid with patines of bright gold…”).
Cultural reference — the night sky described as extravagant pattern
Used in ch. 20 (pp. 277–290)
Stokes, George Gabriel. “On the Composition and Resolution of Streams of Polarized Light from Different Sources.” Transactions of the Cambridge Philosophical Society 9 (1852): 399–416.
Historical source — measurable parameters for partially polarised light
Used in ch. 8 (pp. 105–116)
Unruh, William G. “Experimental Black-Hole Evaporation?” Physical Review Letters 46, no. 21 (1981): 1351–1353.
Foundational — analogue-gravity systems
Used in ch. 5 (pp. 61–72) · ch. 6 (pp. 73–90)
Van Raamsdonk, Mark. “Building up Spacetime with Quantum Entanglement.” General Relativity and Gravitation 42, no. 10 (2010): 2323–2329.
Reference — the strongest statement of geometry as emergent from entanglement
Used in ch. 6 (pp. 73–90)