Published January 29, 2026 | Version v1
Preprint Open

The Ricci Flat Universe

Description

The cosmological constant problem—a 10120 discrepancy between quantum field
theory’s prediction of vacuum energy and astronomical observation—represents the
most severe quantitative failure in theoretical physics. This monograph resolves the
vacuum catastrophe not as a failure of quantum theory but as a failure of accounting:
vacuum energy is taxed on topological structure (L2), not on volumetric spacetime
(L3). The ratio L3/L2 = L ∼ 1026m at cosmic scales; squaring this in Planck units
yields (L/LP )2 ∼ 10122, recovering the observed discrepancy from dimensional
analysis alone. We establish three results: (1) Ricci-flat spacetime (Rμν = 0) con-
stitutes a “tax-free” ground state where information transport incurs no curvature
penalty; (2) the cosmological constant Λ emerges as holographic surface tension—
the metabolic cost of expanding the cosmic boundary to encode new witnesses; (3)
particles are topological knots whose mass derives from knot invariants (crossing
number, hyperbolic volume), eliminating the need to quantize gravity as a force. The
extra dimensions of string theory are redeemed as projections of the Elliott Motive—
not hidden spatial domains but the structural grammar of physical law. Explicit
falsifiers are provided.

Notes

© 2026 Jacob Alexander Elliott.

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