The Scalar Amplitude Cannot Be Generated at the Bounce Itself: A Shortfall of Twenty-Seven Orders of Magnitude
Year: 2026
Type: article
Abstract: This paper tests a specific and widely assumed claim: that the observed scalar perturbations could have been generated as vacuum fluctuations at the moment of a torsion-regulated bounce. The arithmetic says they could not. At the neutron-carrier bound density the Hubble scale at the bounce is H = 1.53 GeV, and the standard vacuum amplitude evaluated there is A = 1e-36 for a slow parameter of 0.01, against the observed scalar amplitude of 2.1e-9. The shortfall is a factor 2.1e+27 in power, or 4.6e+13 in amplitude, some 27.3 orders of magnitude. Varying the slow parameter across 0.003 to 0.03 changes the vacuum amplitude only between 3.4e-37 and 3.4e-36, nowhere near closing the gap. The conclusion is plain: in this framework the scalar spectrum must be inherited from fluctuations generated during the contracting phase and amplified through the bounce, not created at the bounce itself. Models that assume bounce-moment generation are assigning the spectrum to a source that is too weak by twenty-seven orders of magnitude. The study is computed from stated assumptions, not measured.
Author: Aldred, William Alexander
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7225815391
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