The eleven parameters of a body: the gauged Weyl algebra, its exact identities and the Palatini form of Higgs inflation
Abstract
The eleven physically independent quantities of a body-time, position, energy-momentum and spin-are acted on by the eleven-generator Weyl algebra, translations, Lorentz transformations and a dilatation. Gauging it assigns a tetrad, a connection, a Weyl vector and a compensating scalar of weight -1. One experimental fact and one structural one fix the action up to two dimensionless constants, of which one is inert for fermionic matter: the bound |cgw/c -1| ≲ 10 -15 from GW170817, which forbids any new propagating field in the tensor sector, and the non-propagation of Einstein-Cartan torsion, which forbids a kinetic term for the connection. The minimal action consistent with both follows a design rule-no field strength for any generator but the translations-and leaves exactly two propagating degrees of freedom and makes the following statements identities rather than fits: cgw = c; tensor polarisations only; post-Newtonian γ = β = 1; no fifth force and no dilaton particle, the compensator being pure gauge; Eötvös and Nordtvedt parameters zero; Ġ = 0; an exactly Einsteinian exterior for every black hole, hence no gravitational-wave echoes; and every coefficient of the Standard-Model Extension zero. Inside matter the theory is Einstein-Cartan's, with, for the averaged spin fluid, a Planckian bounce in place of singularities. Coupling the Standard Model with µ 2 → 8πζϕ 2 makes the Higgs, with the compensator as dilaton, the inflaton; eliminating the Weyl vector and the trace of the torsion in its presence gives the Palatini form of Higgs inflation, with ns = 1 -2/N = 0.967 and a tensor-to-scalar ratio of order 10 -12 , out of reach of every planned experiment. The same kinematics gives the categorical bound mc 3 /ℏ on the proper acceleration of a body of mass m, the Schwinger field for the electron.
Related
- General relativity at eleven parameters: gauging the Weyl algebra of a body
- The unified theory at eleven parameters: general relativity and the Standard Model on one algebra
- Reconstructing the Goldberg-Palatini Action from Noether Identities
- Analogue models of gravity at eleven parameters
- The concepts at eleven parameters: the primary, the secondary and the optional, their hierarchy and their graph
BibTeX
@misc{reynaud2026eleven,
title = {{The eleven parameters of a body: the gauged Weyl algebra, its exact identities and the Palatini form of Higgs inflation}},
author = {Patrick .B Reynaud},
howpublished = {HAL},
year = {2026},
month = sep,
url = {https://hal.science/hal-05749773v2},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - The eleven parameters of a body: the gauged Weyl algebra, its exact identities and the Palatini form of Higgs inflation
AU - Patrick .B Reynaud
PY - 2026
DA - 2026/09/14
PB - HAL
UR - https://hal.science/hal-05749773v2
AB - The eleven physically independent quantities of a body-time, position, energy-momentum and spin-are acted on by the eleven-generator Weyl algebra, translations, Lorentz transformations and a dilatation. Gauging it assigns a tetrad, a connection, a Weyl vector and a compensating scalar of weight -1. One experimental fact and one structural one fix the action up to two dimensionless constants, of which one is inert for fermionic matter: the bound |cgw/c -1| ≲ 10 -15 from GW170817, which forbids any new propagating field in the tensor sector, and the non-propagation of Einstein-Cartan torsion, which forbids a kinetic term for the connection. The minimal action consistent with both follows a design rule-no field strength for any generator but the translations-and leaves exactly two propagating degrees of freedom and makes the following statements identities rather than fits: cgw = c; tensor polarisations only; post-Newtonian γ = β = 1; no fifth force and no dilaton particle, the compensator being pure gauge; Eötvös and Nordtvedt parameters zero; Ġ = 0; an exactly Einsteinian exterior for every black hole, hence no gravitational-wave echoes; and every coefficient of the Standard-Model Extension zero. Inside matter the theory is Einstein-Cartan's, with, for the averaged spin fluid, a Planckian bounce in place of singularities. Coupling the Standard Model with µ 2 → 8πζϕ 2 makes the Higgs, with the compensator as dilaton, the inflaton; eliminating the Weyl vector and the trace of the torsion in its presence gives the Palatini form of Higgs inflation, with ns = 1 -2/N = 0.967 and a tensor-to-scalar ratio of order 10 -12 , out of reach of every planned experiment. The same kinematics gives the categorical bound mc 3 /ℏ on the proper acceleration of a body of mass m, the Schwinger field for the electron.
ER -