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MOND from 5D Geometry: Quadrature Addition and SPARC Validation

Authors: Schrotz, Martin Helmut;

MOND from 5D Geometry: Quadrature Addition and SPARC Validation

Abstract

Coherent Gravity Theory (CGT) — Paper Series Description A six-paper series presenting Coherent Gravity Theory, a geometric framework unifying Modified Newtonian Dynamics (MOND), General Relativity, quantum mechanics, special relativity, dark energy, and the fermion mass spectrum from higher-dimensional geometry. Core claim: Spacetime includes compact extra dimensions — a Hubble-scale circle (setting the MOND acceleration scale a_0 = cH_0/(2pi)) and an S7/Z_33 orbifold (encoding particle physics). The framework derives rather than assumes: The MOND interpolating function nu(x) = sqrt(1 + 1/x) The galaxy cluster sqrt(3) enhancement from 7D Vlasov dispersion The cosmological constant Lambda = 2.03 H_02/c2 The Koide formula K = 2/3 for charged leptons The Cabibbo angle theta_C = 45 deg / sqrt(12) = 12.99 deg Empirical validation: SPARC rotation curves (175 galaxies), X-COP cluster data (7 clusters), wide binary EFE suppression, Bullet Cluster lensing offsets. MOND from 5D Geometry (Version 3) Derives the MOND interpolating function nu(x) = sqrt(1 + 1/x) from a fifth compact dimension. The observable acceleration is the quadrature norm of perpendicular components (4D Newtonian + W-sector), with a geometric-mean constitutive rule g_W^2 = a_local * a_0. Validated against 175 SPARC galaxies (lowest chi^2 among tested interpolating functions). Wide binaries validated with smooth EFE suppression model (predicted 1.364 vs observed 1.363). The acceleration scale a_0 = cH_0/(2pi) emerges from the W-circle circumference.

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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
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