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Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
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The Double-Edged Sword: Deriving Dark Energy and Dark Matter as Projection Artifacts of Time Emergence

Authors: Randolph, Lucian;

The Double-Edged Sword: Deriving Dark Energy and Dark Matter as Projection Artifacts of Time Emergence

Abstract

Description / Abstract: The concordance cosmological model (ΛCDM) requires 95% of the universe to be composed of unknown substances: 68% dark energy and 27% dark matter. This paper demonstrates that both requirements arise from a single assumption — that time is fully expressed everywhere and at every epoch — and that the consequences of removing this assumption are sufficient to explain both inventions. Dark energy is the clock error. Using 1,580 Type Ia supernovae from Pantheon+ (z > 0.01), a time emergence function τ(z) with steepness β = ln(δ) = 1.5410 derived from Feigenbaum's universal constant matches ΛCDM to within 6.4% in χ²/dof with zero free cosmological parameters. Seven CMB acoustic peak positions are reproduced to 1.35% RMS, matching ΛCDM's 1.40%. The cosmological constant Λ is the projection of time emergence onto a flat-time coordinate system. Dark matter is the ruler error. Using 175 galaxies from the SPARC database, the Radial Acceleration Relation (RAR) is shown to be a ruler correction: the spatial metric within gravitationally coupled systems is distorted by the τ gradient across the gravitational potential. The RAR exponent is not universal — it depends on galactic coupling topology, with a statistically significant monotonic trend across morphological classes (Kruskal-Wallis p = 0.005). The ground-state exponent is logδ(2) = ln(2)/ln(δ) = 0.4499, derived from the Feigenbaum constant: one period-doubling step. Low surface brightness galaxies converge to within 0.001 of this value. The standard RAR exponent p = 0.5 is not fundamental — it is the sample-averaged mean of a topology-dependent complexity spectrum. Same constant. Same law. Clock and ruler. Both corrections trace to the Feigenbaum architecture confirmed in 50,000 Gaia DR3 stars at p = 10⁻³¹⁰. Keywords: dark energy, dark matter, time emergence, Feigenbaum constant, cosmological constant, radial acceleration relation, SPARC, Pantheon+, Type Ia supernovae, CMB, rotation curves, Lucian Law, nonlinear dynamics, galactic morphology, coupling topology, ΛCDM Additional Notes: Extends and refines the Twin Dragons analysis with two new results: (1) the ground-state RAR exponent logδ(2) derived from the Feigenbaum constant, and (2) the discovery that RAR scatter encodes galactic coupling topology. All analysis code available at github.com/lucian-png/resonance-theory-code. CMB peak heights remain an open calculation, acknowledged honestly.

Keywords

time emergence, Type Ia supernovae, cosmological constant, galactic morphology, Feigenbaum constant, SPARC, CMB, ΛCDM, dark matter, Lucian Law, nonlinear dynamics, coupling topology, rotation curves, radial acceleration relation, dark energy, Pantheon+

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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