Pre-string Organizational Channels from Spectral Locality

Oleg Ivanovich Nesen

ПРЕПРИНТ

Эта статья является препринтом и не была отрецензирована.
О результатах, изложенных в препринтах, не следует сообщать в СМИ как о проверенной информации.

Pre-string Organizational Channels from Spectral Locality

O. I. Nesen

2026-09-19

https://doi.org/10.24108/preprints-3116428

We investigate whether string-like organizational sectors can emerge from spectral locality without postulating fundamental strings, a background spacetime, or a prior geometric substrate. Within the framework of Universal Modular Dynamics, normalized spectral states are represented by modular coordinates and assembled into symmetrized nearest-neighbor organizational graphs. We then audit whether such graphs contain recurrent, effectively one-dimensional, dynamically persistent channels that can be interpreted as pre-string organizational filaments. Across a frozen ensemble of 24 independent seeds and the finite scale window k = 3, . . . , 6, the construction yields 15056 baseline pre-string channels. These channels recur across the ensemble, exhibit effective one-dimensionality under intrinsic path-growth and finite-path dimension tests, and form dynamically renewing filament networks under controlled spectral flow. The resulting filaments are not rigid permanent objects: they undergo endpoint persistence, reconnection, decay, recovery, and leaky transport. Nevertheless, they support stable finite-graph mechanical observables, including spectral length, action, tension proxy, stiffness density, and mode-spectrum proxies. We further find that the filaments are not isolated path-like structures. They are embedded in a higher-dimensional organizational core and interact through shared core neighborhoods and weighted bridge couplings. Reconnection events, when present, are core-mediated and mechanically finite. However, the audit does not establish a full reconnection law or a universal effective interaction law. Refined pre-flow susceptibility, edge-margin, core-response, and mechanical observables provide only a partial law-like signal for exchange and high-exchange behavior, while reconnection-law discrimination remains below threshold. The resulting picture is therefore neither fundamental string theory nor a derivation of physical string dynamics. Rather, it supports a conservative pre-string conclusion: spectral locality can generate recurrent, effectively one-dimensional, dynamically renewing finite-graph filament sectors with emergent mechanics, embedded core-mediated interaction, and partial exchange-law regularity.

Ссылка для цитирования:

Nesen O. I. 2026. Pre-string Organizational Channels from Spectral Locality. PREPRINTS.RU. https://doi.org/10.24108/preprints-3116428

Список литературы

1. [1] M. Takesaki, Tomita’s Theory of Modular Hilbert Algebras and Its Applications, Lecture Notes in

2. Mathematics, Vol. 128, Springer, 1970.

3. [2] M. Takesaki, Theory of Operator Algebras II, Springer, 2003.

4. [3] O. Bratteli and D. W. Robinson, Operator Algebras and Quantum Statistical Mechanics 2, 2nd ed.,

5. Springer, 1997.

6. [4] R. Haag, Local Quantum Physics: Fields, Particles, Algebras, 2nd ed., Springer, 1996.

7. [5] J. J. Bisognano and E. H. Wichmann, “On the duality condition for a Hermitian scalar field,” Journal of Mathematical Physics 16, 985–1007, 1975.

8. [6] J. J. Bisognano and E. H. Wichmann, “On the duality condition for quantum fields,” Journal of

9. Mathematical Physics 17, 303–321, 1976.

10. [7] A. Connes and C. Rovelli, “Von Neumann algebra automorphisms and time-thermodynamics relation in generally covariant quantum theories,” Classical and Quantum Gravity 11, 2899–2917, 1994.

11. [8] A. Connes, Noncommutative Geometry, Academic Press, 1994.

12. [9] C. Rovelli, “Relational quantum mechanics,” International Journal of Theoretical Physics 35,

13. 1637–1678, 1996.

14. [10] D. N. Page and W. K. Wootters, “Evolution without evolution: dynamics described by stationary

15. observables,” Physical Review D 27, 2885–2892, 1983.

16. [11] M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information, 10th Anniversary ed., Cambridge University Press, 2010.

17. [12] T. M. Cover and J. A. Thomas, Elements of Information Theory, 2nd ed., Wiley, 2006.

18. [13] S.-i. Amari and H. Nagaoka, Methods of Information Geometry, American Mathematical Society,

19. [14] F. R. K. Chung, Spectral Graph Theory, CBMS Regional Conference Series in Mathematics, Vol. 92,

20. American Mathematical Society, 1997.

21. [15] U. von Luxburg, “A tutorial on spectral clustering,” Statistics and Computing 17, 395–416, 2007.

22. [16] M. E. J. Newman, Networks: An Introduction, Oxford University Press, 2010.

23. [17] D. J. Watts and S. H. Strogatz, “Collective dynamics of small-world networks,” Nature 393, 440–442, 1998.

24. [18] A.-L. Barabási and R. Albert, “Emergence of scaling in random networks,” Science 286, 509–512,

25. [19] Y. Ollivier, “Ricci curvature of Markov chains on metric spaces,” Journal of Functional Analysis 256, 810–864, 2009.

26. [20] R. Forman, “Bochner’s method for cell complexes and combinatorial Ricci curvature,” Discrete and

27. Computational Geometry 29, 323–374, 2003.

28. [21] H. Edelsbrunner and J. Harer, Computational Topology: An Introduction, American Mathematical

29. Society, 2010.

30. [22] R. Ghrist, “Barcodes: the persistent topology of data,” Bulletin of the American Mathematical

31. Society 45, 61–75, 2008.

32. [23] L. Bombelli, J. Lee, D. Meyer, and R. D. Sorkin, “Space-time as a causal set,” Physical Review

33. Letters 59, 521–524, 1987.

34. [24] F. Dowker, “Introduction to causal sets and their phenomenology,” General Relativity and

35. Gravitation 45, 1651–1667, 2013.

36. [25] J. Ambjorn, J. Jurkiewicz, and R. Loll, “Reconstructing the universe,” Physical Review D 72,

37. 064014, 2005.

38. [26] J. M. Maldacena, “The large N limit of superconformal field theories and supergravity,” Advances

39. in Theoretical and Mathematical Physics 2, 231–252, 1998.

40. [27] S. Ryu and T. Takayanagi, “Holographic derivation of entanglement entropy from the anti-de Sitter

41. space/conformal field theory correspondence,” Physical Review Letters 96, 181602, 2006.

42. [28] M. Van Raamsdonk, “Building up spacetime with quantum entanglement,” General Relativity and

43. Gravitation 42, 2323–2329, 2010.

44. [29] B. Swingle, “Entanglement renormalization and holography,” Physical Review D 86, 065007, 2012.

45. [30] M. B. Green, J. H. Schwarz, and E. Witten, Superstring Theory, Volume 1: Introduction,

46. Cambridge University Press, 1987.

47. [31] M. B. Green, J. H. Schwarz, and E. Witten, Superstring Theory, Volume 2: Loop Amplitudes,

48. Anomalies and Phenomenology, Cambridge University Press, 1987.

49. [32] J. Polchinski, String Theory, Volume 1: An Introduction to the Bosonic String, Cambridge University Press, 1998.

50. [33] J. Polchinski, String Theory, Volume 2: Superstring Theory and Beyond, Cambridge University Press, 1998.

51. [34] E. Witten, “String theory dynamics in various dimensions,” Nuclear Physics B 443, 85–126, 1995.

52. [35] B. Zwiebach, A First Course in String Theory, 2nd ed., Cambridge University Press, 2009.

53. [36] R. M. Wald, General Relativity, University of Chicago Press, 1984.

54. [37] S. M. Carroll, Spacetime and Geometry: An Introduction to General Relativity, Cambridge University Press, 2019.

55. [38] L. N. Trefethen and D. Bau, Numerical Linear Algebra, SIAM, 1997.

56. [39] G. H. Golub and C. F. Van Loan, Matrix Computations, 4th ed., Johns Hopkins University Press, 2013.

57. [40] O. Nesen, Universal Modular Dynamics: A Distributional Theory of Geometry and Matter, preprint,

58. 2026.

ПРЕПРИНТ

ИНФОРМАЦИЯ

Использование куки-файлов