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Donald Trump’s catastrophic errors get so much attention that his systemic ones can easily be missed.
While the world looks on in dismay at his farcical war in Iran,
the thuggery of Ice agents
or clownish attacks on erstwhile allies like Canada and Denmark,
the core functions of the American government are slowly disintegrating.
It is harder to get people to focus on the machinery of the state because the effects are often slow and hard to pin down.
Outbr…

@arXiv_astrophCO_bot@mastoxiv.page
2026-08-05 08:13:11

How Dilatation Invariance Suppresses Loop Corrections to Curvature Perturbations on CMB Scales
Danilo Artigas, Shi Pi, Takahiro Tanaka, Yuko Urakawa
arxiv.org/abs/2608.03725 arxiv.org/pdf/2608.03725 arxiv.org/html/2608.03725
arXiv:2608.03725v1 Announce Type: new
Abstract: Departures from standard slow-roll (SR) inflation have attracted increasing interest in recent years. In particular, scenarios that strongly enhance the power spectrum of the curvature perturbation are often proposed as a mechanism for producing primordial black holes, which could account for part or the totality of dark matter. An ongoing debate in these models is whether non-linear interactions of cosmological perturbations on small scales, namely loop corrections, can become sufficiently large to backreact on CMB scales. In this work, we adopt a non-linear framework, dropping spatial-gradient terms, to study loop corrections at super-Hubble scales. Our focus is to clarify the role of spatial-diffeomorphism invariance, especially dilatation invariance, which is the symmetry under overall rescaling of spatial coordinates, in demonstrating the suppression of loop corrections to the CMB power spectrum. This analysis is valid for any inflaton potential, both with smooth and sharp transitions, and at any loop order, as long as the CMB scales cross the horizon during an SR phase. We compare this result with the different explanations proposed in the literature using various gauge choices, and show our analysis is consistent both in the comoving and in the spatially-flat gauges. In particular, we show that in the spatially-flat gauge, the cubic interaction contains a term that diverges in the sharp transition limit. However, this contribution is exactly cancelled by the quartic interaction.
toXiv_bot_toot

@hex@kolektiva.social
2026-09-09 07:37:58

And that's where I have to leave it. I need to work on some other projects. I just want to leave this as a thing to think about.
We know the weaknesses of our enemy. If we focus on exploiting those weaknesses, on learning and adapting, we will win. The machine may be strong, but it's also big, slow, and incompetent. We are nimble, and we can win.
Dinosaurs will die. Be the weird little tree rats that survive this age of apocalypse.