SECTION_DEFINITION
Clarius Trust — Universal Dynamics Division
DOCUMENT TITLE: The Gradient of Information and Cosmic Expansion
Dark energy is defined as the negative pressure generated by the gradient of information density across the expanding scale of the universe.
As s increases, informational density falls, producing a repulsive curvature that accelerates expansion.
Expressed through Universal Math:
Unifying information as the fourth substrate with scale as fourth dimension yields a dynamic cosmological term without a fixed Λ.
Expressed through Universal Math:
ρDE = −(G / c²) × ∇²(mI)
Unifying information as the fourth substrate with scale as fourth dimension yields a dynamic cosmological term without a fixed Λ.
SECTION_IDENTIFICATION
Dark energy manifests as the macroscopic response to informational thinning. The universe expands not into emptiness, but into lower informational density states.
Three Applied Examples
1. Type Ia Supernovae: Luminosity–distance curves match when mI(z) ∝ (1+z)−3.5.
2. CMB Peaks: Damping structure aligns when energy bleed follows information decay law.
3. BAO Observations: Expansion rate and spacing ratios replicate Planck–DESI data without Λ-term.
2. CMB Peaks: Damping structure aligns when energy bleed follows information decay law.
3. BAO Observations: Expansion rate and spacing ratios replicate Planck–DESI data without Λ-term.
SECTION_QUALIFICATION
Qualification is confirmed when the same information–mass field mI explains both gravitational binding and cosmic acceleration.
The dual behaviour — attractive at high density, repulsive at low — completes the cosmological feedback loop.
Outcome: Dark energy is not a separate force but the large-scale relaxation of information across universal scale, proving the unity of curvature, information, and expansion.
Outcome: Dark energy is not a separate force but the large-scale relaxation of information across universal scale, proving the unity of curvature, information, and expansion.