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February 2, 20260 citationsOpen Access

Ibaguner Fractal Eigenbasis and Dimensional Phases of Spacetime

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SİSİNAN İBAGÜNER

Key Points

  • The research aims to explore how spacetime can be described using a fractal approach rather than traditional smooth models.
  • Utilized the Ibaguner Fractal Operator (IFO) framework for analysis.
  • Replaced traditional smooth manifold assumptions with a spectral-fractal model.
  • Examined how spacetime geometry emerges from a non-integer eigenstructure.
  • Found that spacetime dimensionality can vary depending on the scale of observation.
  • Demonstrated that dimensionality is not fixed but dynamically influenced by the regime in question.

Abstract

Classical spacetime models assume a smooth, differentiable four-dimensional manifold at fundamental scales. Within the Ibaguner Fractal Operator (IFO) framework, this assumption is replacedby a spectral–fractal description in which spacetime geometry emerges from the eigenstructure ofa non-integer operator. As a consequence, spacetime dimensionality becomes scale-dependent,regime-dependent, and dynamically determined.

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Cite This Study

SİNAN İBAGÜNER (2026) studied this question.

synapsesocial.com/papers/6980fd81c1c9540dea80f2e5https://doi.org/10.13140/rg.2.2.24094.19520
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