Cosmology at eleven parameters: from the bounce to the microwave background
Abstract
The theory at eleven parameters has its cosmology in two places: the torsion bounce, the daughter universe and the cosmological number in the gravitational paper, and the Palatini Higgs inflation, the dark-matter candidates and the late-time identities in the unified one. This paper puts them in the order of cosmic time and computes what the series had left conventional. The Planckian bounce is the beginning as a turning point, not a singularity, conditional on the sign of the contact term; it hands inflation its initial conditions and does not select them. The inflation is the Higgs on the Palatini plateau, with the compensator's factor |α|ϕ 2 0 /(h 2 + |α|ϕ 2 0 ) in the kinetic term. Its preheating is nearly instantaneous, so that the pivot scale left the horizon N * = 50 e-folds before the end and not 60. The spectral index of the tree-level plateau is then n s = 1 -2/N * = 0.960 at most, lower for a slower reheating or for |α| below a thousand, with r = 8×10 -12 , an observed local f N L of zero and a running of -2/N 2 * . Against the 2026 data this is the theory's most exposed number: one standard deviation under Planck alone, three under the combined Planck, ACT and SPT spectra, five once the DESI baryon oscillations are added. The rest of the sky the theory predicts by identities or on stated conditions: w = -1, the growth functions µ = Σ = 1, Ġ = α = 0, N eff = 3.044, no isocurvature, no cosmic birefringence. In the bands of LISA and the pulsar-timing arrays the one cosmological gravitational-wave background is the inflationary one, at Ω gw h 2 ≈ 10 -26 . On the daughter-universe reading the universe is closed, by an amount, 10 -16 , that the sky cannot read. Each has a measurement in progress that could contradict it, and two, the dark-energy equation of state and the birefringence angle, have hints against them. The three dark-matter candidates the theory permits are followed to their present status, each with a door closing or narrowing: the inert doublet by the Sun, the keV neutrino by the asymmetry it needs, the Planck relics by the bounds on the gravitational waves their formation induces. What remains for the relics is the heavy-tailed channel of a near-critical Higgs potential, tied to the top mass, which the theory's inflation needs in any case. The cosmological constant, the curvature coupling, the b 2 coupling, the Majorana couplings, the baryon asymmetry and the state of the Higgs at the bounce are located and not computed. The paper ends with the statements, their kind, and the instruments and dates that decide them.
Related
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- Non-equilibrium thermodynamics of an expanding Swiss-Cheese braneworld cosmology with a matter bounce
- Analogue models of gravity at eleven parameters
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BibTeX
@misc{reynaud2026cosmology,
title = {{Cosmology at eleven parameters: from the bounce to the microwave background}},
author = {Patrick B. Reynaud},
howpublished = {HAL},
year = {2026},
month = sep,
url = {https://hal.science/hal-05765510v2},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Cosmology at eleven parameters: from the bounce to the microwave background
AU - Patrick B. Reynaud
PY - 2026
DA - 2026/09/26
PB - HAL
UR - https://hal.science/hal-05765510v2
AB - The theory at eleven parameters has its cosmology in two places: the torsion bounce, the daughter universe and the cosmological number in the gravitational paper, and the Palatini Higgs inflation, the dark-matter candidates and the late-time identities in the unified one. This paper puts them in the order of cosmic time and computes what the series had left conventional. The Planckian bounce is the beginning as a turning point, not a singularity, conditional on the sign of the contact term; it hands inflation its initial conditions and does not select them. The inflation is the Higgs on the Palatini plateau, with the compensator's factor |α|ϕ 2 0 /(h 2 + |α|ϕ 2 0 ) in the kinetic term. Its preheating is nearly instantaneous, so that the pivot scale left the horizon N * = 50 e-folds before the end and not 60. The spectral index of the tree-level plateau is then n s = 1 -2/N * = 0.960 at most, lower for a slower reheating or for |α| below a thousand, with r = 8×10 -12 , an observed local f N L of zero and a running of -2/N 2 * . Against the 2026 data this is the theory's most exposed number: one standard deviation under Planck alone, three under the combined Planck, ACT and SPT spectra, five once the DESI baryon oscillations are added. The rest of the sky the theory predicts by identities or on stated conditions: w = -1, the growth functions µ = Σ = 1, Ġ = α = 0, N eff = 3.044, no isocurvature, no cosmic birefringence. In the bands of LISA and the pulsar-timing arrays the one cosmological gravitational-wave background is the inflationary one, at Ω gw h 2 ≈ 10 -26 . On the daughter-universe reading the universe is closed, by an amount, 10 -16 , that the sky cannot read. Each has a measurement in progress that could contradict it, and two, the dark-energy equation of state and the birefringence angle, have hints against them. The three dark-matter candidates the theory permits are followed to their present status, each with a door closing or narrowing: the inert doublet by the Sun, the keV neutrino by the asymmetry it needs, the Planck relics by the bounds on the gravitational waves their formation induces. What remains for the relics is the heavy-tailed channel of a near-critical Higgs potential, tied to the top mass, which the theory's inflation needs in any case. The cosmological constant, the curvature coupling, the b 2 coupling, the Majorana couplings, the baryon asymmetry and the state of the Higgs at the bounce are located and not computed. The paper ends with the statements, their kind, and the instruments and dates that decide them.
ER -