Relativity and Cosmology |
Authors: Rüdiger Giesel
We formulate a compact effective-field-theory version of an octonionic projection model for the origin and calibration of fundamental constants. The model treats the constants not as isolated inputs, but as effective quantitiesarising from emergent spacetime projection, quantum phase normalization, and dynamical vacuum selection inside the non-associative octonion algebra. The non-associative sector is governed by an octonionic field triplet and itsassociator energy. Within this framework, the speed of light is interpreted as the conversion between projected time and space units, the quantum of action as the conversion between action normalization and quantum phase, Newton’sconstant as the inverse stiffness of the projected vacuum, and the cosmological constant as residual vacuum curvature. Gauge couplings are represented as eigenvalues of a vacuum-dependent kinetic tensor rather than fixed bare group numbers. An explicit Fano-plane calculation supplies algebraic normalizationreferences and shows why a strongly non-associative vacuum would generate a Planck-scale curvature contribution, whereas the observed smallness of the cosmological constant requires a nearly associative physical vacuum. Thereport provides a numerical-closure step based on a controlled one-parameter vacuum deformation and an exact calibration condition for Newton’s constant. It does not claim that all observed constants follow from the Fano plane alone;instead, it identifies the vacuum, projection, spectral and renormalization data required for parameter-free prediction.
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[v1] 2026-06-23 23:09:24
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