Spacetime diamonds
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We show that the particle-number distribution of diamond modes, modes that are localized in a finite space-time region, are thermal for the Minkowski vacuum state of a massless scalar field, an analogue to the Unruh effect. The temperature of the diamond is inversely proportional to its size. An inertial observer can detect this thermal radiation by coupling to the diamond modes using an appropriate energy-scaled detector. We further investigate the correlations between various diamonds and find that entanglement between adjacent diamonds dominates.
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Forward citations
Cited by 2 Pith papers
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Tensionless strings arise exclusively at birth in the ultra-shrinking limit of a causal diamond worldsheet, revealing a new phase with global ultra-local Carrollian structure.
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Modular theory and affine representations on the Rindler horizon
Affine group symmetries on the light ray, with dilations implementing modular flow, provide the minimal structure for thermality on the Rindler horizon via the Mellin transform bridge between Minkowski and Rindler modes.
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