vacuum-energy-as-a-5d-projection-artifact
Hypothesis: vacuum energy appears small in 4D because it's exponentially filtered when projected from 5D spacetime. Hydrodynamic-inspired approach to cosmological constant problem.
https://github.com/arkokupski-wat/vacuum-energy-as-a-5d-projection-artifact
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Hypothesis: vacuum energy appears small in 4D because it's exponentially filtered when projected from 5D spacetime. Hydrodynamic-inspired approach to cosmological constant problem.
Basic Info
- Host: GitHub
- Owner: ArkOkupski-WAT
- License: mit
- Default Branch: main
- Size: 481 KB
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Metadata Files
README.md
Vacuum-Energy-as-a-5D-Projection-Artifact
Hypothesis: vacuum energy appears small in 4D because it's exponentially filtered when projected from 5D spacetime. Hydrodynamic-inspired approach to cosmological constant problem.
📄 Full Hypothesis Paper
A Hydrodynamical Spacetime Model
The Core Idea
Dark energy emerges when spacetime "adheres" to matter, creating an energy deficit relative to the 5D vacuum background.
Dark Energy as Spacetime Adhesion
Hydrodynamic 5D Projection Model
Core Equation
math
\rho_{\text{DE}} = - \gamma \, \text{tr}(K^{(4)})
Where:
- ρ_DE ≈ 10⁻⁹ J/m³ (observed dark energy density)
- γ = adhesion constant (spacetime-matter coupling)
- K⁽⁴⁾ = extrinsic curvature of 4D spacetime in 5D
Key Intuitions
- Negative sign → Energy is drained from vacuum via adhesion (like water climbing a wall).
- Geometric origin →
tr(K⁽⁴⁾)measures how matter bends 4D spacetime within 5D.
How It Solves the Hierarchy Problem
| Reference Frame | Vacuum Energy (ρ) | Explanation |
|---------------------|----------------------|-----------------------------------------------------------------------------|
| CP5D Observer | 10¹¹³ J/m³ | True GEP. |
| CP4D Observer | 0 J/m³ (background)| Perceives the 5D vacuum as "empty. |
| Dark Energy | 10⁻⁹ J/m³ | Net effect: Energy spent on adhesion (curving CP4D). |
Testable Predictions
- 🔍 Sub-mm gravity deviations (Casimir experiments)
- 🚀 KK graviton shadows (LHC/FCC)
- 🌌 Dark energy fluctuations near galaxy clusters
Owner
- Login: ArkOkupski-WAT
- Kind: user
- Repositories: 1
- Profile: https://github.com/ArkOkupski-WAT
Citation (CITATION.cff)
cff-version: 1.2.0
message: "If you use this work, please cite it using these metadata."
title: "Vacuum Energy as a 5D Projection Artifact"
abstract: "Hypothesis proposing that vacuum energy appears small in 4D because it's exponentially filtered when projected from 5D spacetime, with a hydrodynamic-inspired approach to the cosmological constant problem."
authors:
- family-names: "Okupski"
given-names: "Arkadiusz"
version: 1.0
doi: 10.5281/zenodo.15814946
date-released: 2025-07-05 # Update to your release date
url: "https://github.com/ArkOkupski-WAT/Vacuum-Energy-as-a-5D-Projection-Artifact"
license: MIT # Update if using different license
repository-code: "https://github.com/ArkOkupski-WAT/Vacuum-Energy-as-a-5D-Projection-Artifact"
keywords:
- "dark energy"
- "cosmological constant"
- "5D spacetime"
- "vacuum energy"
- "hydrodynamic analogy"
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