Dark energy, characterized as the potential energy of the entire universe with negative mass (<0), initially drove cosmic inflation and contributed to the formation of positive mass. Following this period of rapid expansion, dark energy entered a phase of hibernation as the density of gravitational mass surpassed that of dark energy.
As the universe evolved, gravitationally bound galaxies formed from denser regions of gaseous mass, leading to a reduction in the average density of this mass. The subsequent scattering of galaxies altered the motion and gravitational dynamics of the universe, allowing dark energy to regain influence within the spaces between galaxies and galactic clusters.
Currently, dark energy has reasserted its dominance in intergalactic space. The interplay between cosmic motion and gravitational dynamics continues to enhance the effects of dark energy, leading to an accelerated recession of gravitationally bound galaxies.
In a future scenario where the distribution of gravitational mass becomes sufficiently spread across an extensively expanded universe, the generation of dark energy may cease, potentially halting further galactic recession. This reduction in dark energy could allow for the gravitational collapse of dispersed matter, potentially culminating in the formation of a new singularity.
Mathematical Presentation
Dark Energy Characterization
• Dark Energy: Eᴅᴇ (Potential energy with negative mass: (Mᴅᴇ<0)
Cosmic Inflation and Formation of Positive Mass
• Total Mass: Mₜₒₜₐₗ =Mᴍ + Mᴅᴇ
• Positive Mass Formation: Mₚₒₛᵢₜᵢᵥₑ > 0 (Contribution to the universe's mass)
Hibernation Phase
• Dominance Condition: ρmatter > ρᴅᴇ
• Where ρₘₐₜₜₑᵣ is the density of gravitational mass
• ρᴅᴇ is the density of dark energy
Galaxy Formation and Dynamics
• Density Reduction:ρ𝑔𝑎𝑠𝑒𝑜𝑢𝑠_𝑚𝑎𝑠𝑠 → Decreases
• Galactic Dynamics: Scattered galaxies alter Fᴜₙᵢᵥ = (Mᴍ + Mᵉᶠᶠᴘᵣₑₛₑₙₜ)⋅aᵉᶠᶠ
Current State
• Dominance in Intergalactic Space: Dark Energy Influence ∝ Space Between Galaxies
• Recession Acceleration: Increased aᵉᶠᶠ → Accelerated Recession of Galaxies
Future Scenario
• Spread of Gravitational Mass: ρ𝑚𝑎𝑡𝑡𝑒𝑟_𝑒𝑥𝑝𝑎𝑛𝑑𝑒𝑑 → Uniform Distribution
• Halted Dark Energy Generation: Eᴅᴇ ceases
• Galactic Recession Halt: No Further Recession
Potential Collapse
• Gravitational Collapse:
Diminished Dark Energy → Increased Gravity
• Formation of New Singularity:
Collapse of Scattered Matter → Singularity Formation
Brief Descriptions
• Dark Energy: Represents the universe's potential energy with negative mass, contributing to inflation and positive mass formation.
• Hibernation Phase: Occurs when the density of gravitational mass exceeds that of dark energy, leading to a period of reduced dark energy influence.
• Galaxy Formation: As galaxies form and scatter, the average density of matter decreases, changing cosmic dynamics and allowing dark energy to regain influence in intergalactic space.
• Current State: Dark energy now dominates intergalactic space, accelerating the recession of galaxies.
• Future Scenario: Once matter is uniformly distributed in an expanded universe, dark energy generation may cease, halting further galactic recession.
• Potential Collapse: Reduced dark energy could result in increased gravitational forces, potentially leading to the collapse of matter into a new singularity.
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