Published June 9, 2026 | Version 1.0
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The Information-Topological Register Model

Authors/Creators

  • 1. ROR icon University of Applied Sciences Erfurt

Description

This work introduces the Information-Topological Register Model, a discrete, deterministic framework that replaces the continuous spacetime manifold with an amorphous Continuous Random Network (CRN). By postulating that physical reality emerges solely from the thermodynamic relaxation of logical graphs, this model analytically derives General Relativity and Quantum Mechanics as macroscopic projections of the same underlying network tension.

We demonstrate that matter is not an independent substance, but a topologically stabilized 1D-knot (e.g., a trefoil) within the 3D vacuum, providing a geometric solution to the Yang-Mills mass gap. The model successfully derives the fine-structure constant (α ≈ 1/137) via 3D combinatorics, calculates the primordial spectral index (ns ≈ 0.96) from topological vacuum friction, and analytically predicts the baryonic matter density (Ωb ≈ 4.74%) as the absolute percolation limit of the vacuum graph. Furthermore, we unify gravity, electromagnetism, and dark energy strictly through the Helmholtz-Hodge decomposition of the network's topological stress. The paper concludes by proposing specific, high-precision falsification experiments, including macroscopic BEC-interferometry to test violations of the Weak Equivalence Principle.

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Additional details

Is supplement to
Preprint: 10.5281/zenodo.20030220 (DOI)
Preprint: 10.5281/zenodo.20038825 (DOI)
Preprint: 10.5281/zenodo.20045037 (DOI)
Preprint: 10.5281/zenodo.20052942 (DOI)
Preprint: 10.5281/zenodo.20053447 (DOI)
Preprint: 10.5281/zenodo.20074334 (DOI)
Preprint: 10.5281/zenodo.20082421 (DOI)
Preprint: 10.5281/zenodo.20121742 (DOI)
Preprint: 10.5281/zenodo.20122778 (DOI)
Preprint: 10.5281/zenodo.20123313 (DOI)

Dates

Issued
2026-06-09

References

  • Abdo, A. A., et al. (Fermi-LAT Collaboration), "A limit on the variation of the speed of light arising from quantum gravity effects," Nature, vol. 462, no. 7271, pp. 331-334, 2009.
  • Adams, C. C., The Knot Book: An Elementary Introduction to the Mathematical Theory of Knots. Providence, RI, USA: American Mathematical Society, 2004.
  • Aghanim, N., et al. (Planck Collaboration), "Planck 2018 results. VI. Cosmological parameters," Astronomy & Astrophysics, vol. 641, p. A6, 2020.
  • Ambjørn, J., Jurkiewicz, J., and Loll, R., "Spectral dimension of the universe," Physical Review Letters, vol. 95, no. 17, p. 171301, 2005.
  • Bekenstein, J. D., "Black holes and entropy," Physical Review D, vol. 7, no. 8, pp. 2333-2346, 1973.
  • Bell, J. S., "On the Einstein Podolsky Rosen paradox," Physics Physique Fizika, vol. 1, no. 3, pp. 195-200, 1964.
  • Bogoliubov, N. N., "On the theory of superfluidity," Journal of Physics (USSR), vol. 11, no. 1, pp. 23-32, 1947.
  • Bohm, D., "A suggested interpretation of the quantum theory in terms of 'hidden' variables. I," Physical Review, vol. 85, no. 2, pp. 166-179, 1952.
  • Desbrun, M., Kanso, E., and Tong, Y., "Discrete Exterior Calculus for Geometry Processing," in ACM SIGGRAPH 2005 Courses, 2005.
  • Dirac, P. A. M., "The quantum theory of the electron," Proceedings of the Royal Society of London. Series A, vol. 117, no. 778, pp. 610-624, 1928.
  • Einstein, A., "Die Grundlage der allgemeinen Relativitätstheorie," Annalen der Physik, vol. 354, no. 7, pp. 769-822, 1916.
  • Einstein, A., Podolsky, B., and Rosen, N., "Can quantum-mechanical description of physical reality be considered complete?," Physical Review, vol. 47, no. 10, pp. 777-780, 1935.
  • Guth, A. H., "Inflationary universe: A possible solution to the horizon and flatness problems," Physical Review D, vol. 23, no. 2, pp. 347-356, 1981.
  • Harrison, E. R., "Fluctuations at the threshold of classical cosmology," Physical Review D, vol. 1, no. 10, p. 2726, 1970.
  • Hawking, S. W., "Black hole explosions?," Nature, vol. 248, no. 5443, pp. 30-31, 1974.
  • Kasevich, M., and Chu, S., "Atomic interferometry using stimulated Raman transitions," Physical Review Letters, vol. 67, no. 2, pp. 181-184, 1991.
  • Kibble, T. W. B., "Topology of cosmic domains and strings," Journal of Physics A: Mathematical and General, vol. 9, no. 8, pp. 1387-1398, 1976.
  • Köllmer, N., "The Information-Theoretic Spacetime Manifold: Gravity and Inertia as Emergent Topological Phenomena," Zenodo, 2026, doi: 10.5281/zenodo.20030220.
  • Köllmer, N., "Mass as an Emergent Topological Property: Deriving the Two-Bit Fermionic Limit," Zenodo, 2026, doi: 10.5281/zenodo.20038825.
  • Köllmer, N., The Information-Topological Register Model (Works III-XVI). Zenodo and unreleased, 2026.
  • Landauer, R., "Irreversibility and heat generation in the computing process," IBM Journal of Research and Development, vol. 5, no. 3, pp. 183-191, 1961.
  • Linde, A. D., "A new inflationary universe scenario: A possible solution of the horizon, flatness, homogeneous, isotropy and primordial monopole problems," Physics Letters B, vol. 108, no. 6, pp. 389-393, 1982.
  • Maldacena, J., and Susskind, L., "Cool horizons for entangled black holes," Fortschritte der Physik, vol. 61, no. 9, pp. 781-811, 2013.
  • Mazur, B., "On the structure of certain semi-groups of spherical knot classes," Bulletin of the American Mathematical Society, vol. 65, no. 1, pp. 17-19, 1959.
  • Penrose, R., "Angular momentum: an approach to combinatorial spacetime," in Quantum Theory and Beyond, T. Bastin, Ed. Cambridge, U.K.: Cambridge Univ. Press, 1971, pp. 151-180.
  • Peters, A., Chung, K. Y., and Chu, S., "Measurement of gravitational acceleration by dropping atoms," Nature, vol. 400, no. 6747, pp. 849-852, 1999.
  • Pitaevskii, L., and Stringari, S., Bose-Einstein Condensation and Superfluidity. Oxford, U.K.: Oxford University Press, 2016.
  • Rolfsen, D., Knots and Links. Berkeley, CA, USA: Publish or Perish, Inc., 1976.
  • Rovelli, C., Quantum Gravity. Cambridge, U.K.: Cambridge University Press, 2004.
  • Susskind, L., "The world as a hologram," Journal of Mathematical Physics, vol. 36, no. 11, pp. 6377-6396, 1995.
  • Touboul, P., et al., "MICROSCOPE mission: first results of a space test of the equivalence principle," Physical Review Letters, vol. 119, no. 23, p. 231101, 2017.
  • Witten, E., "Quantum field theory and the Jones polynomial," Communications in Mathematical Physics, vol. 121, no. 3, pp. 351-399, 1989.
  • Zeeman, E. C., "Unknotting combinatorial balls," Annals of Mathematics, vol. 78, no. 3, pp. 501-526, 1963.
  • Zel'dovich, Y. B., "A hypothesis, unifying the structure and the entropy of the universe," Monthly Notices of the Royal Astronomical Society, vol. 160, no. 1, pp. 1P-3P, 1972.
  • Zurek, W. H., "Cosmological experiments in superfluid helium?," Nature, vol. 317, no. 6037, pp. 505-508, 1985.