The universe pays for its own existence.
The receipt is dark energy.
Information Relativity derives the critical density of the universe from three established results — Bekenstein-Hawking entropy, Gibbons-Hawking temperature, and Landauer's principle — with zero free parameters.
The Argument
Every causal horizon carries entropy proportional to its area and radiates at a temperature set by the expansion rate. The energy required to maintain that information — the Landauer cost — is real, gravitating energy. Divide it by the volume the horizon encloses, and you get the critical density that governs cosmic expansion.
This is not a coincidence, an approximation, or a fit. It is an algebraic identity that holds for any value of $H$. Dark energy is the thermodynamic cost of the universe's causal boundary.
What This Completes
Ted Jacobson showed in 1995 that Einstein's field equations emerge from local thermodynamics at causal horizons — heat crossing a horizon is equivalent to spacetime curvature. His derivation leaves the cosmological constant undetermined. Information Relativity supplies the global integral form: $\Lambda = 3H^2/c^2$, fixed exactly. Together, the local differential and global integral forms recover all of general relativity from thermodynamics alone.
Analogous to Maxwell's equations: Jacobson gives the differential form, IR gives the integral form. Neither is complete without the other.
Current Status
The paper "On the Origin of Dark Energy" is in preparation for submission to Foundations of Physics. Interactive walkthroughs, annotated literature, and the derivation chain are available in the Tools and Papers sections.
Papers & Documents
Research documents, annotated literature, and reference materials. Core paper documents listed first, followed by annotated source papers and supporting references.
Core Paper
Two-Column Annotated Papers
Original source text on the left, clear rewrite with IR annotations on the right.
Reference Documents
Interactive Tools
Self-contained walkthroughs with MathJax equations, step-by-step derivations, and physical interpretations. Each opens as a standalone page.
Core Derivation Chain
Surface Energy & Horizon Thermodynamics
Pedagogy & Visualization
About
The Researcher
Jeff Vermeire is an independent theoretical physics researcher developing Information Relativity — a framework that derives quantum behavior, gravity, and cosmological phenomena from information-processing principles.
The work began in June 2025, originating from questions about helium-3 spin coherence in polarized target experiments. The central insight — that the Landauer energy cost of maintaining information at a causal horizon exactly produces the observed dark energy density — emerged through six months of systematic development.
The Framework
Information Relativity builds on established physics: Bekenstein-Hawking entropy (1973), Gibbons-Hawking temperature (1977), Landauer's principle (1961), and Jacobson's thermodynamic derivation of gravity (1995). The contribution is recognizing that these four results, combined without additional assumptions or free parameters, produce the Friedmann critical density exactly.
The framework treats the Hubble horizon as a causal thermal one-way membrane. Energy crossing a causal horizon is heat by definition (Jacobson's insight). The total heat content is the Landauer cost of the horizon's information. Dividing by the enclosed volume yields a density — and that density is the critical density that governs cosmic expansion.
Acknowledgments
Brian Mederos (Jefferson Lab) for ongoing discussions on polarized helium-3 experiments and the physical intuitions that seeded the framework.