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GitHub - PJHkorea/time-density-tension: A pure topological dynamics engine…

This project is a computer software engine designed to dramatically reduce the heavy computational resource consumption of conventional Large-Scale Structure (LSS) cosmic simulations. The formulations and terminal execution logs specified in this documentation completely eliminate N-body particle loops, serving as the computational specification of high-precision geometric mechanics implemented through dimensional reduction mapping and spacetime tension lattice transitions.

For a deeper theoretical understanding of the engine's

For a deeper theoretical understanding of the engine's core mechanics, please refer to THEORY.md and the comprehensive documentation in the docs/ directory.Below is the verified terminal output generated by the geometry engine. The accompanying code snippets serve as a Proof-of-Concept (PoC) implementation; you are welcome to adapt and extend these examples to fit your specific research or simulation requirements. ⚙️ Hardware Acceleration Host Infrastructure Spec (PoC)

This host infrastructure functions as the low-level hardware

This host infrastructure functions as the low-level hardware orchestration layer designed to bind the a priori mathematical invariants directly into the GPU registers, achieving high-throughput branchless parallel tensor evaluation over massive simulation scales.

Hardware-Enforced Constant Buffer Alignment (b0 Binding): To satisfy

Hardware-Enforced Constant Buffer Alignment (b0 Binding): To satisfy the rigid hardware constraints of DirectX 12, the TDTCosmicConstants structure embeds a strict compile-time alignas(256) boundary. This configuration pre-allocates an optimized, frozen memory footprint for arithmetic invariants ((\alpha, \pi, \ln 2, \omega_1)) on Device-Local committed resources, facilitating zero-overhead matrix back-projection tracing directly from the host to register b0.

VRAM Interleaving & Isomorphic Node Structuring (u1 Binding)

VRAM Interleaving & Isomorphic Node Structuring (u1 Binding): The SimulationNode layout enforces an explicit 16-byte structural alignment (alignas(16)) combined with a critical 12-byte padding metric (float padding[3]). This padding expands the struct dimension to exactly 32 bytes, securing a perfect 1:1 structural isomorphism with the HLSL StructuredBuffer<SimulationNode> target. This architecture optimizes the GPU L2 cache-line indexing efficiency by completely avoiding unaligned memory access penances during massive parallel data requests.

Zero-Copy VRAM Memory Lifecycles: The host initializes the

Zero-Copy VRAM Memory Lifecycles: The host initializes the spatial potential fields spontaneously using the intrinsic TDT Geometric Berry Phase seeds. Rather than invoking costly frame-by-frame CPU ↔ GPU intersystem memory clones, the engine streams the 1,000,000 cosmic filament node payloads onto an exclusive staging upload heap, dispatching a high-throughput DMA block transfer (CopyBufferRegion) into high-speed Default VRAM.

Pipeline Visibility Barriers & Dynamic Synchronization: The DispatchComputeFrame

Pipeline Visibility Barriers & Dynamic Synchronization: The DispatchComputeFrame routine segments the thread grid into unified 64-thread warps to trigger simultaneous parallel evaluation over a Newton-Raphson lookback loop. To isolate data hazards and memory race conditions during high-resolution quadrature, the engine injects a strict pipeline resource barrier (D3D12_RESOURCE_BARRIER_TYPE_UAV) right after the Dispatch burst. This synchronization boundary stalls downstream execution passes until all asynchronous compute writes are fully committed to VRAM, guaranteeing absolute floating-point stability across extreme lookback epochs.

This parallel compute kernel executes the numerical integrations

This parallel compute kernel executes the numerical integrations of the Time-Density-Tension mathematical fields directly within individual GPU execution warps, bypassing conventional N-body structural bottlenecks via branchless scheduling optimizations.

Branchless Mathematical Layout & SFU Acceleration: The kernel

Branchless Mathematical Layout & SFU Acceleration: The kernel eliminates heavy pipeline execution stalls by leveraging the hardware-level Transcendent Special Function Units (SFUs). In GetDebyeFriction, complex geometric decay and damping transitions are evaluated using continuous transcendental expressions (tanh, exp) over a clamp filter. This strategic layout forces the compiler to map smooth density switches directly to fast hardware math instructions, avoiding performance-degrading arithmetic expansions.

Warp Divergence Suppression via Execution Directives: To neutralize

Warp Divergence Suppression via Execution Directives: To neutralize the risk of SIMD thread stalling within a single 64-thread execution group, the kernel orchestrates execution paths via strict compiler hints: [flatten] Directive: Enforced within the Hookean Manifold Geometric Masking logic of GetTensionAcceleration. It forces the GPU to evaluate both algebraic tension trajectories concurrently at the register level, replacing deep instruction cache serialization with a fast conditional move (CMOV). [branch] Directive: Strategic early-rejection gate deployed inside CSMain. By dividing the cosmos into localized pre-capture and post-capture domains based on the Baryon Fluid Core Resonant capture lock condition, it safely halts redundant baryonic gas integrations for trapped elements, maximizing thread processing efficiency.

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GitHub - PJHkorea/time-density-tension: A pure topological dynamics engine solving galactic rotation flatness and…

This project is a computer software engine designed to dramatically reduce the heavy computational resource consumption of conventional Large-Scale Structure (LSS) cosmic simulations.

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