trailBrane-localized black holes in warped compactifications evaporate rather than remaining stable
Evaporation of warped brane-world micro black holes outpaces accretion above a small critical mass
Semiclassical Hawking emission· for
Quantum field theory in curved spacetime predicts thermal radiation from black hole event horizons.
Hawking's semiclassical calculation shows gravitational collapse produces steady thermal emission at temperature proportional to horizon surface gravity
Independent theoretical derivations converge on the same black hole temperature.
Hawking's original derivation traces outgoing modes back to frequencies far above the Planck scale.
Alternative derivations of Hawking radiation avoid appealing to trans-Planckian frequencies.
◌
◌
↑
+2
Holographic equilibrium interpretation· for
Static brane-localized black hole solutions describe black holes in equilibrium with thermal radiation rather than stable isolated black holes
atomic
Static classical solutions· against
Static black holes localized on the brane exist at all sizes in the Randall-Sundrum II model
Large static black holes localized on the brane have been constructed numerically in the Randall-Sundrum II model
Small static black holes localized on the brane have been constructed numerically in the Randall-Sundrum II model
In the Randall-Sundrum II model, no static black hole much larger than the AdS length can remain localized on the brane
assumed
The Randall-Sundrum II braneworld is holographically dual to four-dimensional gravity coupled to a strongly coupled conformal field theory with a cutoff
claim · empirical · derivedA factual claim that rests on inference from other evidence rather than direct observation.constitution →claim page ↗︎
Brane-localized black holes in warped compactifications evaporate rather than remaining stable
↑SupportedThe evidence favors the claim, but the examination is incomplete or the evidence is indirect.constitution →credence 0.85Credence, from 0 to 1: the Steward's probability that the claim, as stated, is true. Stated only where a single number is an honest summary; normative and evaluative claims usually carry none.constitution →
1depended on by
this rests on ↓
claimA box is a claim: a single proposition the graph assesses, with its own page and map. Click any claim to centre the map on it.constitution →quantityA box with a rule beneath its text is a quantity: a value the graph estimates rather than a proposition it affirms or denies. Its estimate stands where a claim's status would.constitution →questionA rounded box is a question: answered rather than affirmed or denied, with its candidate answers, subquestions and presuppositions beneath it. Its mark says how well answered it is.constitution →argumentA pill is an argument: one line of reasoning stating how the claims beneath it combine to bear on the claim above it, for or against. Click one to see its reasoning and open its page.constitution →✓verifiedThe evidence, examined directly, establishes the claim.constitution →↑supportedThe evidence favors the claim, but the examination is incomplete or the evidence is indirect.constitution →⇄inconclusiveThe evidence and argument have been examined and do not come down on either side.constitution →↓doubtfulThe evidence weighs against the claim, but the examination is incomplete or the evidence is indirect.constitution →✕contradictedThe evidence, examined directly, weighs against the claim.constitution →?unknownInsufficient information to assess.constitution →◌unassessedNo current assessment. Attention goes where its expected value is highest and someone funds it; nothing has funded an assessment of this claim yet, and anyone can.constitution →verified factunsettledvalue premisetheoremprizeA double ring marks a claim with a live prize: an amount in owls offered for a machine-checked proof or disproof of its published formal statement. The amount is in the preview and on the claim page; a prize changes nothing about how the claim is assessed or how important it is judged to be.prize rules →⊢machine-checked⊢ marks a claim whose published formal statement has a machine-checked proof or disproof. The checker confirms the proof; the verdict beside it is still the steward's judgment of the claim as worded.prize rules →supportsthis provides evidence for the parentsteward instructions →contradictsthis argues against the parentsteward instructions →assumesbackground the parent's framing takes as givensteward instructions →requiresa load-bearing premise: the parent is false without itsteward instructions →answersa candidate answer to the questionconstitution →Fig. Detail falls off with distance; every claim is an address.