Dark Energy from R3⊕I 3 Planck-Patch Geometry

We model physical space as a real sector R3 and an adjoint, evanescent sector I3 that coupleonly across Planck-area Planck patches on a common interface Σ. We postulate three interfacemicro-facts: (P1) each patch on Σ has area Apatch = 4L^2P ; (P2) by the Bekenstein–Hawking arealaw, the per-patch capacity is 1 nat; (P3) the initial uniform ledger load is one bit per patch, i.e.x = Spatch = ln 2 nats. A local, capacity-limited exchange along Σ conserves the total ledger loadand drives the interface to an absorbing state with saturated fraction fsat = x = ln 2. Mappingthe homogeneous saturated ledger to vacuum energy yields ΩΛ = fsat = ln 2 and Ωm = 1 − ln 2.The mechanism is testable: after equilibration dfsat/d ln a = 0 and w = −1. On-shell R3 physics isunchanged; I3 supports only evanescent modes (vanishing time-averaged Poynting flux).

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-09-20
DOI
https://doi.org/10.5281/zenodo.17167192
Primary Topic
Geochemistry and Geologic Mapping
Type
article
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article

Dark Energy from R3⊕I 3 Planck-Patch Geometry

Zenodo (CERN European Organization for Nuclear Research)
Geochemistry and Geologic Mapping
article

Dark Energy from R3⊕I 3 Planck-Patch Geometry

article en

Abstract

We model physical space as a real sector R3 and an adjoint, evanescent sector I3 that coupleonly across Planck-area Planck patches on a common interface Σ. We postulate three interfacemicro-facts: (P1) each patch on Σ has area Apatch = 4L^2P ; (P2) by the Bekenstein–Hawking arealaw, the per-patch capacity is 1 nat; (P3) the initial uniform ledger load is one bit per patch, i.e.x = Spatch = ln 2 nats. A local, capacity-limited exchange along Σ conserves the total ledger loadand drives the interface to an absorbing state with saturated fraction fsat = x = ln 2. Mappingthe homogeneous saturated ledger to vacuum energy yields ΩΛ = fsat = ln 2 and Ωm = 1 − ln 2.The mechanism is testable: after equilibration dfsat/d ln a = 0 and w = −1. On-shell R3 physics isunchanged; I3 supports only evanescent modes (vanishing time-averaged Poynting flux).

Zenodo (CERN European Organization for Nuclear Research)
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Geochemistry and Geologic Mapping
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