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Vacuum Energy, Black Holes and the Cosmological Constant

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Jarmo Mäkelä

General Physics · Submitted 6 Feb 2014

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim Using the recently proposed thermodynamical equation of state obeyed by the cosmological constant we indicate, how this idea might explain the smallness of the cosmological constant, if the vacuum energy is the source of the cosmological constant.

how it is stated · hedged possibility 0.64 read the record →

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arXiv ID1402.1488 (version 1)
Pith IDJFABCSGK, Pith's permanent record of this paper and its review
CitationJarmo M\"akel\"a. "Vacuum Energy, Black Holes and the Cosmological Constant." arXiv:1402.1488 (2014). https://pith.science/paper/JFABCSGK
Claim paper

The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

Open the compiled record

Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,347 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.32 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.07 · mentions code or data availability 0.01.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

We consider a possibility that the formally infinite vacuum energy of the quantized matter fields could be stored into Planck-size quantum black holes acting as the fundamental constituents of space and time. Using the recently proposed thermodynamical equation of state obeyed by the cosmological constant we indicate, how this idea might explain the smallness of the cosmological constant, if the vacuum energy is the source of the cosmological constant.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 We consider a possibility that the formally infinite vacuum energy of the quantized matter fields could be stored into Planck-size quantum black holes acting as the fundamental constituents of space and time. contribution 0.90 0.26 0.16 hedged possibility 0.92
s1 Using the recently proposed thermodynamical equation of state obeyed by the cosmological constant we indicate, how this idea might explain the smallness of the cosmological constant, if the vacuum energy is the source of the cosmological constant. interpretation 0.43 0.66 0.47 hedged possibility 0.64

What kind of paper the classifier reports this is: theoretical result 0.55 · evidence from argument 0.95.

What was examined, and what was not

sources read
  • arXiv listing abstract v1
not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
levels run
  • P abstract
not run
  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

We consider a possibility that the formally infinite vacuum energy of the quantized matter fields could be stored into Planck-size quantum black holes acting as the fundamental constituents of space and time. Using the recently proposed thermodynamical equation of state obeyed by the cosmological constant we indicate, how this idea might explain the smallness of the cosmological constant, if the vacuum energy is the source of the cosmological constant.

Human review

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How the literature uses it

What this paper does with the arXiv papers it cites

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

What it cites · 1 sentence without a confident label

Cites as background 1 paper
  • When the static coordinates, together with the natural units, where $ħ= c = G = k_B = 1$ are used, the line element of the de Sitter spacetime may be written as: [ref] [equation] The de Sitter spacetime has the cosmological horizon, where [equation] Unfortunately, the de Sitter metric is singular at the cosmological horizon, and therefore we shall consider, instead of the cosmological horizon itself, a sort of "shrinked horizon", which is a spacelike two-sphere with constant $r$ and $t$ just inside of the cosmological horizon, where $r=r_C$.

    Adventures in de Sitter space · Introduction · 0.83

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