References

Lamport

L. Lamport, Time, clocks, and the ordering of events in a distributed system, Communications of the ACM 21 (1978), no. 7, 558–565. doi:10.1145/359545.359563.

KP

E. H. Kronheimer and R. Penrose, On the structure of causal spaces, Proceedings of the Cambridge Philosophical Society 63 (1967), no. 2, 481–501. doi:10.1017/S030500410004144X.

Koecher

M. Koecher, {Positivitätsbereiche im ${\mathbb{R}}^n$}, American Journal of Mathematics 79 (1957), no. 3, 575–596. doi:10.2307/2372563.

Vinberg

E. B. Vinberg, The theory of homogeneous convex cones, Trudy Moskovskogo Matematicheskogo Obshchestva 12 (1963), 303–358 (Russian). English translation: Transactions of the Moscow Mathematical Society, 1963 volume, 340–403, published 1965.

FK

J. Faraut and A. Korányi, Analysis on Symmetric Cones, Oxford Mathematical Monographs, Clarendon Press, Oxford, 1994. Chapters III and V. doi:10.1093/oso/9780198534778.001.0001.

JNW

P. Jordan, J. von Neumann, and E. Wigner, On an algebraic generalization of the quantum mechanical formalism, Annals of Mathematics, Second Series, 35 (1934), no. 1, 29–64. doi:10.2307/1968117.

ItoLourenco

M. Ito and B. F. Lourenço, {The $p$-cones in dimension $n\ge 3$ are not homogeneous when $p\ne 2$}, Linear Algebra and its Applications 533 (2017), 326–335. doi:10.1016/j.laa.2017.07.029. arXiv:1701.05801.

AlexandrovOvchinnikova

A. D. Alexandrov and V. V. Ovchinnikova, Remarks on the foundations of the theory of relativity, Vestnik Leningradskogo Universiteta (1953), no. 11, 95–110 (Russian).

Zeeman

E. C. Zeeman, Causality implies the Lorentz group, Journal of Mathematical Physics 5 (1964), no. 4, 490–493. doi:10.1063/1.1704140.

HKM

S. W. Hawking, A. R. King, and P. J. McCarthy, A new topology for curved space–time which incorporates the causal, differential, and conformal structures, Journal of Mathematical Physics 17 (1976), no. 2, 174–181. doi:10.1063/1.522874.

Malament

D. B. Malament, The class of continuous timelike curves determines the topology of spacetime, Journal of Mathematical Physics 18 (1977), no. 7, 1399–1404. doi:10.1063/1.523436.

Bombelli

L. Bombelli, J. Lee, D. Meyer, and R. D. Sorkin, Space-time as a causal set, Physical Review Letters 59 (1987), no. 5, 521–524. doi:10.1103/PhysRevLett.59.521.

ParrikarSurya

O. Parrikar and S. Surya, Causal topology in future and past distinguishing spacetimes, Classical and Quantum Gravity 28 (2011), 155020. doi:10.1088/0264-9381/28/15/155020. arXiv:1102.0936.