The Breathing Multiverse: A Quantum Field Model for Dark Matter and Gravitational Backgrounds

This preliminary study proposes a cosmological framework in which dark matter emerges as a byproduct of energy interactions in a dynamically "breathing" multiverse. In this model, expanding and contracting bubble universes interact through shared quantum fields, producing gravitational effects and signatures consistent with the stochastic gravitational wave background observed in NANOGav data. The theory attempts to bridge aspects of general relativity and the Standard Model through modified Friedmann equations and a proposed Lagrangian incorporating inter-bubble quantum effects. Keywords: Dark matter, multiverse, quantum fields, gravitational waves, stochastic background, Friedmann equation, general relativity, standard model, cosmology, Lagrangian This paper is accompanied by an interactive Jupyter Notebook available on GitHub:https://github.com/PHelberg/breathing-multiverse/blob/main/the_breathing_universe.ipynb 📊 Click here to launch the interactive version in Google Colab: (https://colab.research.google.com/github/PHelberg/breathing-multiverse/blob/main/the_breathing_multiverse_FIXED_FOR_GITHUB.ipynb) The notebook allows users to explore the breathing multiverse model through sliders, dynamic graphs, and future simulations (dark matter density and CMB distortions). The repository will be updated as the project evolves. Independent Researcher Note:This paper was developed without institutional funding. If you found the work thought-provoking and would like to support further independent research, you can do so here:Patreon.com/PSHelbergYour support helps me continue exploring original theoretical models in cosmology and share them freely with the scientific community.