Dark Energy and Dark Matter: The Shares of the Four-Channel Ledger

Within the framework of Dimensional Flow Cosmology (ΨD), this article presents a counting hypothesis and a pre-registered test program for the three shares of the universe’s energy budget: dark energy, dark matter and the baryonic share are counted from a single conservation law (Δ(Record)/Δn = 0) with zero free continuous parameters; the discrete choice spaces of the constitutive equations are scanned explicitly and all rejections are reported. Time is not a dimension; it is the linear measurement information of the occurrence of events (τ = n·t_P), and all derivations are carried out with discrete operators, in doubling cubic geometry, by the reverse-disassembly method. The darkenergy share is the root of the record-matching closure: the Lambert-W solution of the equation u·ln u = (D+1)·ln2 gives Ω_d1 = e^W(4ln2)/4 = 0.68634 (0.22σ from Planck 2018); the channel scan (rejections of n = 3, 5) and the nine-member functional-form scan are on record. The unclosed share is divided by edge counting: Ω_d2/Ω_d3 = 2⁴/D; the result is Ω_d2 = 0.26413 (0.07σ) and Ω_d3 = 0.04952 (0.26σ); the counter-rule scan rejects all alternatives at 36–83σ. It is explicitly recorded that the comparison is ΛCDM-conditional and that the neutrino/radiation bookkeeping sets the meaningful precision floor. The micro-inventory is closed with theorems: the non-localizability theorem makes collider production identically zero; the mass word E_base(d) = 2^(D−d)·ε_P is derived and yields m_d2 = 2·ε_P (single-mass spectrum; deliberately degenerate with the Planck-mass DM class); the free-streaming cutoff is observationally zero; the intra-class cross-section is σ/m = 2³·ℓ_P²/m_P = 9.6×10⁻⁶¹ cm²/g. The growth sector is reframed as a consistency check (γ_∞ = 6/11, the known ΛCDM result). The equation of state is a plateau identity: w = −1 exactly, w₀ = −0.99827 with the drag tail; the phantom prohibition is a falsifiable prediction. Dispersion is identically zero: v(E) = c at every order. All three shares are anchor-free; all falsification conditions are tabulated before measurement.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-07-24
DOI
https://doi.org/10.5281/zenodo.21530620
Primary Topic
Cosmology and Gravitation Theories
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
article

Dark Energy and Dark Matter: The Shares of the Four-Channel Ledger

Hamdi Barut
Zenodo (CERN European Organization for Nuclear Research)
Cosmology and Gravitation Theories
article

Dark Energy and Dark Matter: The Shares of the Four-Channel Ledger

Hamdi Barut
article en

Abstract

Within the framework of Dimensional Flow Cosmology (ΨD), this article presents a counting hypothesis and a pre-registered test program for the three shares of the universe’s energy budget: dark energy, dark matter and the baryonic share are counted from a single conservation law (Δ(Record)/Δn = 0) with zero free continuous parameters; the discrete choice spaces of the constitutive equations are scanned explicitly and all rejections are reported. Time is not a dimension; it is the linear measurement information of the occurrence of events (τ = n·t_P), and all derivations are carried out with discrete operators, in doubling cubic geometry, by the reverse-disassembly method. The darkenergy share is the root of the record-matching closure: the Lambert-W solution of the equation u·ln u = (D+1)·ln2 gives Ω_d1 = e^W(4ln2)/4 = 0.68634 (0.22σ from Planck 2018); the channel scan (rejections of n = 3, 5) and the nine-member functional-form scan are on record. The unclosed share is divided by edge counting: Ω_d2/Ω_d3 = 2⁴/D; the result is Ω_d2 = 0.26413 (0.07σ) and Ω_d3 = 0.04952 (0.26σ); the counter-rule scan rejects all alternatives at 36–83σ. It is explicitly recorded that the comparison is ΛCDM-conditional and that the neutrino/radiation bookkeeping sets the meaningful precision floor. The micro-inventory is closed with theorems: the non-localizability theorem makes collider production identically zero; the mass word E_base(d) = 2^(D−d)·ε_P is derived and yields m_d2 = 2·ε_P (single-mass spectrum; deliberately degenerate with the Planck-mass DM class); the free-streaming cutoff is observationally zero; the intra-class cross-section is σ/m = 2³·ℓ_P²/m_P = 9.6×10⁻⁶¹ cm²/g. The growth sector is reframed as a consistency check (γ_∞ = 6/11, the known ΛCDM result). The equation of state is a plateau identity: w = −1 exactly, w₀ = −0.99827 with the drag tail; the phantom prohibition is a falsifiable prediction. Dispersion is identically zero: v(E) = c at every order. All three shares are anchor-free; all falsification conditions are tabulated before measurement.

Zenodo (CERN European Organization for Nuclear Research)
Life in Land
Openalex Percentile: Top 9%
Cosmology and Gravitation Theories
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.