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The Spectral Action Principle
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The Spectral Action Principle
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We propose a new action principle to be associated with a noncommutative space $(\Ac ,\Hc ,D)$. The universal formula for the spectral action is $(\psi ,D\psi) + \Trace (\chi (D /$ $\Lb))$ where $\psi$ is a spinor on the Hilbert space, $\Lb$ is a scale and $\chi$ a positive function. When this principle is applied to the noncommutative space defined by the spectrum of the standard model one obtains the standard model action coupled to Einstein plus Weyl gravity. There are relations between the gauge coupling constants identical to those of $SU(5)$ as well as the Higgs self-coupling, to be taken at a fixed high energy scale.
Forward citations
Cited by 7 Pith papers
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Self-Reconstructing Codazzi Defects, $\mathbb{CP}^1$ Quantization, and the Minimal Standard-Model Carrier
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Canonical quantization of all minisuperspaces with consistent symmetry reductions
Canonical quantization of all consistent symmetry reductions of the Einstein-Hilbert Lagrangian, with solutions to the Wheeler-DeWitt equation both with and without imposed conformal symmetries.
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The residual 288 in the E₈×ωE₈ program is scaffolding labels not particles, with the bifermionic Lagrangian yielding sterile neutrinos and a second composite scalar.
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