MUMBAI, India, Aug. 12 -- Intellectual Property India has published a patent application (202631093465 A) filed by Dr. Rajeev Ranjan Sinha; Dr. Deepak Kumar; Dr. Sanjeev Kumar Nirala; Dr. Adarsh Kumar Rai; and Anil Kumar on August 01, 2026, for A Computer-Implemented System And Method For Numerically Solving The Canonical Constraint Equations Of Quantum Gravity Using Adaptive Lattice Regularization.
Inventors include Dr. Rajeev Ranjan Sinha; Dr. Deepak Kumar; Dr. Sanjeev Kumar Nirala; Dr. Adarsh Kumar Rai; and Anil Kumar.
The application for the patent was published on August 07, 2026, under issue no. 32/2026.
Abstract: ABSTRACT A computer-implemented system and method for numerically solving the canonical constraint equations of quantum gravity is disclosed. The system comprises a processor (302) and memory (304) storing a discretized lattice representation of a spatial hypersurface, a lattice discretization module (306), an adaptive regularization module (308) that varies lattice spacing and suppresses high-frequency field components as a function of locally computed curvature so as to control ultraviolet divergence, a constraint enforcement module (310) that iteratively projects the lattice representation onto the Hamiltonian and momentum constraint surface, and an evolution module (312) that updates the lattice representation using discretized lapse-shift evolution equations interleaved with constraint enforcement across successive spatial hypersurfaces of the foliated spacetime. A parallel processing unit (314) distributes computation, and an output module (316) provides stabilised simulation data to a downstream application (318) such as gravitational-wave waveform modelling or early-universe cosmological simulation. The invention improves numerical stability and computational resource efficiency relative to fixed-lattice numerical relativity methods. [FIG. 1]
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