This notebook develops a cosmological framework in which gravity and cosmic expansion arise from a single universal acceleration associated with the evolution of a complex manifold. From this geometric starting point, a number of major observational phenomena emerge naturally.
1. Gravity and cosmic expansion share a common origin
The model proposes that a universal background acceleration governs the evolution of the universe. Cosmic expansion and gravitational attraction are not separate phenomena but two manifestations of the same underlying kinematic process.
2. No dark matter is required to explain galaxy dynamics
Galactic rotation behavior and the baryonic Tully–Fisher relation (BTFR) emerge as geometric consequences of the manifold acceleration. The observed relationship between galaxy mass and rotation velocity appears as the upper envelope of allowed orbital solutions, eliminating the need for dark matter halos.
3. The cosmic acceleration scale is empirically determined from galaxies
Using gas-rich galaxy data, the model infers a single universal acceleration scale that governs both local gravitational dynamics and cosmological evolution.
4. Type Ia supernova observations can be reproduced without dark energy
The model matches the Pantheon+SH0ES Type Ia supernova distance–redshift observations without introducing dark energy, a cosmological constant, or additional density components. Once the universal acceleration is fixed by galaxy data, only a single cosmological parameter is required to describe the expansion history.
5. The Hubble constant becomes a prediction rather than a fitted parameter
After determining the manifold parameters, the present-epoch expansion rate emerges directly from the model. The predicted value of the Hubble constant lies within the range of current observational measurements.
6. The cosmological horizon problem disappears
In this geometry the causal horizon is always larger than the spatial extent of the universe, meaning all regions remain in causal contact at every epoch. As a result, the large-scale uniformity of the universe arises naturally and no inflationary phase is required.
7. The CMB acoustic angular scale is predicted without parameter tuning
Using the same kinematic framework and standard recombination physics, the model computes the sound horizon and predicts the angular scale of the first acoustic peak of the cosmic microwave background, again without introducing additional fitted parameters.
8. Gravity is reinterpreted as redistribution of a conserved acceleration flux
In the local limit, gravitational dynamics are described as the redistribution of a universal acceleration field by baryonic matter. Matter concentrates this background acceleration rather than generating gravity directly, reproducing the familiar inverse-square behavior of Newtonian gravity.
