Dark Matter as Temporal Displacement in Five-Dimensional Hydrodynamic Spacetime

We develop the cosmological and particle physics implications ofthe five-dimensional hydrodynamic spacetime framework establishedin Papers I and II. First, we present a novel interpretation of dark matter as ordinarymatter temporally displaced from our "present." Gravity operatesacross all w-positions (as the w-landscape is a global property ofspacetime), while electromagnetic interaction requires sharedtemporal coordinates for photon exchange. The observed visible-to-total matter ratio (~15.6%) is reproduced by a Gaussian temporaldisplacement distribution with sigma_t ≈ 5 tau_e, consistent withBig Bang nucleosynthesis constraints. This framework predicts thatdark matter direct detection experiments will never succeed. Second, we show that the four fundamental forces emerge asdifferent aspects of a single field—the w-field (time density):electromagnetism as w-t vortex radiation, the strong force asw-spatial vortex confinement, gravity as the w-landscape created bydrawing costs, and the weak force as w-fluctuations that changeparticle type. Color charge originates from three w-spatialrotation planes, gluons are reinterpreted as emergent effects ofquark binding structures, and the strong CP problem is resolved bythe intrinsic w -> -w symmetry of the theory. Matter-antimatterasymmetry follows naturally from the separation into positive(w > 0) and negative (w < 0) universes. Third, we develop a geometric interpretation of lepton generationsbased on the addition of independent w-spatial orbital planes, withthree generations arising from three spatial dimensions. Masshierarchy ratios remain an open quantitative problem, but the Koideformula 2/3 = Re/(Re+1) suggests a connection to the universalReynolds number. Fourth, the same planar-orbit structure fixes the neutrino sector:the lightest neutrino is exactly massless (m_1 = 0, normalordering), the heaviest satisfies m_3 = (m_mu/m_e)·k_B·T_CMB= 0.0486 eV (3% agreement with the atmospheric scale), and thecosmological mass sum is pinned at the normal-ordering minimum,Σm_ν = 0.057 eV—directly at the edge of current DESI+CMB bounds,making this the framework's sharpest near-term observational test.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-07-17
DOI
https://doi.org/10.5281/zenodo.21408843
Primary Topic
Dark Matter and Cosmic Phenomena
Type
preprint
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preprint

Dark Matter as Temporal Displacement in Five-Dimensional Hydrodynamic Spacetime

Zenodo (CERN European Organization for Nuclear Research)
Dark Matter and Cosmic Phenomena
preprint

Dark Matter as Temporal Displacement in Five-Dimensional Hydrodynamic Spacetime

preprint en

Abstract

We develop the cosmological and particle physics implications ofthe five-dimensional hydrodynamic spacetime framework establishedin Papers I and II. First, we present a novel interpretation of dark matter as ordinarymatter temporally displaced from our "present." Gravity operatesacross all w-positions (as the w-landscape is a global property ofspacetime), while electromagnetic interaction requires sharedtemporal coordinates for photon exchange. The observed visible-to-total matter ratio (~15.6%) is reproduced by a Gaussian temporaldisplacement distribution with sigma_t ≈ 5 tau_e, consistent withBig Bang nucleosynthesis constraints. This framework predicts thatdark matter direct detection experiments will never succeed. Second, we show that the four fundamental forces emerge asdifferent aspects of a single field—the w-field (time density):electromagnetism as w-t vortex radiation, the strong force asw-spatial vortex confinement, gravity as the w-landscape created bydrawing costs, and the weak force as w-fluctuations that changeparticle type. Color charge originates from three w-spatialrotation planes, gluons are reinterpreted as emergent effects ofquark binding structures, and the strong CP problem is resolved bythe intrinsic w -> -w symmetry of the theory. Matter-antimatterasymmetry follows naturally from the separation into positive(w > 0) and negative (w < 0) universes. Third, we develop a geometric interpretation of lepton generationsbased on the addition of independent w-spatial orbital planes, withthree generations arising from three spatial dimensions. Masshierarchy ratios remain an open quantitative problem, but the Koideformula 2/3 = Re/(Re+1) suggests a connection to the universalReynolds number. Fourth, the same planar-orbit structure fixes the neutrino sector:the lightest neutrino is exactly massless (m_1 = 0, normalordering), the heaviest satisfies m_3 = (m_mu/m_e)·k_B·T_CMB= 0.0486 eV (3% agreement with the atmospheric scale), and thecosmological mass sum is pinned at the normal-ordering minimum,Σm_ν = 0.057 eV—directly at the edge of current DESI+CMB bounds,making this the framework's sharpest near-term observational test.

Zenodo (CERN European Organization for Nuclear Research)
Dark Matter and Cosmic Phenomena
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