What question did this study set out to answer?

The aim is to develop a unified framework combining dark matter and cyclic cosmology using modular theta functions.

March 30, 2026Open Access

Modular Theta Topology: A Unified Framework for Dark Matter and Cyclic Cosmology

Key Points

The aim is to develop a unified framework combining dark matter and cyclic cosmology using modular theta functions.
Utilized modular theta functions to create a framework unifying general relativity and quantum mechanics.
Modeled dark matter within the context of cyclic cosmology.
Analyzed the implications of a topological reset event in relation to the Big Bang.
The framework avoids the Big Bang singularity by proposing it as a topological reset event.
Offers observational signatures to address cosmological tensions, particularly the Hubble and S₈ anomalies.
Suggests new perspectives on dark matter interactions in a cyclic universe.

Abstract

We present a unified framework built on modular theta functions, unifying general relativity and quantum mechanics to model dark matter and cyclic cosmology. This construction avoids the traditional Big Bang singularity by interpreting the Big Bang as a topological reset event, offering testable observational signatures that directly address key cosmological tensions such as the Hubble and S₈ anomalies.

Modular Theta Topology: A Unified Framework for Dark Matter and Cyclic Cosmology

Key Points

Abstract

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