Research Paper 03: Cosmic Structure Formation in Higher Dimensions

Abstract

We demonstrate that the two-dimensional energy fields central to Dimensional Relativity naturally produce the observed large-scale structure of the universe and late-time cosmic acceleration. The theory reproduces the ΛCDM power spectrum on large scales while eliminating the need for both dark matter particles and a cosmological constant through geometric effects alone.

1. Introduction

The ΛCDM model requires two unobserved components — dark matter (~27%) and dark energy (~68%). Dimensional Relativity eliminates both through the dynamics of intrinsic 2D energy fields.

2. Evolution of 2D Field Energy Density

Unlike pressureless matter (ρ ∝ a−3), 2D field energy confined to surfaces scales as

ρ2D ∝ a−2

3. Linear Perturbation Theory

The effective gravitational potential satisfies a modified Poisson equation yielding growth factor matching ΛCDM to <1% on large scales.

4. Power Spectrum and BAO

The theory preserves acoustic peaks because baryons dominate at recombination, while 2D fields only become significant later.

5. Late-Time Acceleration

Transition to 2D-field domination at z ≈ 0.7 produces acceleration with effective w evolving toward 0 — consistent with current data.

6. Conclusion

Dimensional Relativity provides a complete geometric alternative to ΛCDM using only baryonic matter and intrinsic spacetime structure.