Constrained symplectic quantization applied to the free scalar field reproduces the Feynman generating functional in the continuum limit and matches standard correlators, commutators, and Dyson-Schwinger equations in 1+1 dimensions via numerical evolution.
Varrin,At the Corner of Quantum and Gravity, Ph.D
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Derives a thermal fluctuation formula for causal-diamond boundary area with a linear term of Verlinde-Zurek scaling interpreted as statistical evidence for discrete quanta of geometry.
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Constrained Symplectic Quantization II: The Free Scalar Field
Constrained symplectic quantization applied to the free scalar field reproduces the Feynman generating functional in the continuum limit and matches standard correlators, commutators, and Dyson-Schwinger equations in 1+1 dimensions via numerical evolution.
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Quantum Geometry from Area Fluctuations
Derives a thermal fluctuation formula for causal-diamond boundary area with a linear term of Verlinde-Zurek scaling interpreted as statistical evidence for discrete quanta of geometry.