Mass-Energy Space-Time Duality Conjecture: A Geometric Scaling Solution to the Vacuum Energy Catastrophe and a Testable Prediction for Dark Energy Density
Modern cosmology faces two major challenges: the vacuum energy catastrophe (a discrepancy of about 122 orders of magnitude between theoretical and observed values) and the flatness problem (the fine tuning of Ω≈1). This paper proposes the mass energy space time duality conjecture: mass energy and space time are intrinsic dual properties of the same physical reality. For any isolated system, its characteristic length (L) and total mass energy (E) satisfyL=EG/c⁴.Taking the universe as a whole as an isolated system and choosing the characteristic length to be the Hubble radius naturally leads to cosmic flatness. Based on geometric scaling (ρ∝L⁻²) and the gravitational electromagnetic exchange rate (√α) at the Planck scale, the dark energy density is predicted to beρDE,0=√α·H₀²/G.This prediction contains no free parameters; its dimensionless combination GρDE,0/H₀²=√αdiffers from current Planck observations by about 4.0%–4.6%, a difference that can be tested with sub percent precision by future Euclid and CSST missions. The conjecture is compatible with Newtonian gravity and Einstein’s field equations.
关键词
质能-时空对偶/暗能量密度/真空能灾难/精细结构常数/几何缩放/可证伪性/宇宙平坦性
Key words
mass energy space time duality/ dark energy density/ vacuum energy catastrophe/ fine structure constant/ geometric scaling/ falsifiability/ cosmic flatness
