Inertial relativity - a functional analysis review

Authors

  • Norberto Sáinz Pontificia Universidad Católica de Valparaíso.

DOI:

https://doi.org/10.4067/S0716-09172005000200003

Abstract

The theory of special relativity (TSR) exhibits an unquestionable success, at the expense of an unresolved axiomatic conflict with functional analysis and operator theory, as this paper demonstrates. These mathematical disciplines —amongst the newest developments in the field— could not possibly be incorporated into the original formulation of the TSR because they were in an incipient state at the turn of the 20th century when the TSR was being formulated, maturing only decades later.

Author Biography

Norberto Sáinz, Pontificia Universidad Católica de Valparaíso.

Facultad de Ingeniería, Escuela de Ingeniería Industrial.

References

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6. Ibid. [2], 23.

7. Ibid. [3], 51.

8. Ibid. [2], 60.

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10. Ibid. [4], 77.

11. Ibid. [5], 70.

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13. Ibid. [2], 9, 22-23.

14. Ibid. [3], 324-325.

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25. Ibid. [17], ”Operators, Theory of,” Vol. 16, p. 988d.

26. Ibid. [40], 67.

27. Ray Redheffer, “Men of Modern Mathematics. A history chart of mathematicians from 1000 to 1900”, produced for IBM by the office of Charles Eames (1966).

28. Ibid. [1], 40.

29. Ibid. [2], 14-17.

30. Ibid [3], 208-217, 226-235, 310.

31. Ibid. [3], 311.

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33. Ibid. [1], 36-39.

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35. Ibid. [5], 272-276.

36. Ibid [3], 22.

37. Roger Penrose, “Structure of Space-Time”, in “Battelle Rencontres”, 1967 Lectures in Mathematics and Physics, 121-134. W. A. Benjamin. (1968).

38. Ibid. [2], 59-60.

39. Ibid. [3], 20-21.

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41. Ibid. [40], 62.

42. Roger Penrose, “Techniques of Differential Topology in Relativity”, Sect 1. Soc. for Industrial and Applied Mathematics (1972).

43. Ibid. [40], 83.

44. Ibid. [40], 56.

45. Ibid. [40], 124-130.

46. Tom M. Apostol, “Calculus”, 210. Reverté, S.A. (1967).

47. Ibid. [46], 201 & 271.

48. Ibid. [46], 215-216

49. Ibid. [3], 47-63, 77, 79-81.

50. Andrei Linde, ”Particle Physics and Inflationary Cosmology” Vol. 5. English translation by Marc Damashek, 271-272, 279. Harwood Academic Publishers, (1990).

51. Stephen W. Hawking, ”A Brief History of Time. From the Big Bang to Black Holes”. Spanish translation by Miguel Ortuno, 178. Editorial Crítica, (1988).

Published

2017-04-20

How to Cite

[1]
N. Sáinz, “Inertial relativity - a functional analysis review”, Proyecciones (Antofagasta, On line), vol. 24, no. 2, pp. 121-152, Apr. 2017.

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Section

Artículos