Thermodynamics of spacetime from minimal area

This is an extended version of the preprint,4 based on the lectures given at Cargese Summer School and Chernogolovka Summer School in 1993. The incompressible fluid dynamics is reformulated as dynamics of closed loops C in coordinate space. We derive explicit functional equation for the pdf of the circulation PC (Γ) which allows the scaling solutions in the inertial range of spatial scales. The pdf decays as exponential of some power of Γ3/A2, where A is the minimal area inside the loop.

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MinSC: An Exact Synthesis-Based Method for Minimal-Area Stochastic Circuits under Relaxed Error Bound

10.1109/iccad51958.2021.9643580 ◽

2021 ◽

Author(s):

Xuan Wang ◽

Zhufei Chu ◽

Weikang Qian

Keyword(s):

Error Bound ◽

Minimal Area ◽

Stochastic Circuits

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Surfaces of Minimal Area Supported by a Given Body in ℝ3

Variational Methods ◽

10.1007/978-1-4757-1080-9_22 ◽

1990 ◽

pp. 319-327

Author(s):

G. Mancini ◽

R. Musina

Keyword(s):

Minimal Area

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QUANTUM CLOSED STRINGS FROM MINIMAL AREA

Modern Physics Letters A ◽

10.1142/s0217732390003218 ◽

1990 ◽

Vol 05 (32) ◽

pp. 2753-2762 ◽

Cited By ~ 29

Author(s):

BARTON ZWIEBACH

Keyword(s):

Exact Solution ◽

Quantum Theory ◽

String Theory ◽

Master Equation ◽

Closed String ◽

Feynman Rules ◽

Higher Genus ◽

Quantum Action ◽

Full Quantum ◽

Minimal Area

Canonical and factorizable off-shell amplitudes for covariant closed string theory can be obtained from string diagrams of minimal area. Evidence is given that all higher genus minimal area string diagrams can be built using vertices and propagators, implying that the off-shell amplitudes arise from the Feynman rules of a full quantum theory of closed strings. The quantum action gives an exact solution of the full master equation of Batalin and Vilkoviski.

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