The gravitational potential within the core is described by the equation:
V(r,t) = V₀·e-α·r · cos(ω·r + $\phi_0$(t)) + β·(1 - e-r)·r-1
Where: $V_0$ = oscillation amplitude, $\alpha$ = exponential decay rate, $\omega$ = angular frequency, $\phi_0$(t) = animation phase (time-dependent), $\beta$ = central potential coefficient (singularity-free), r = normalized radial distance. This model inherently avoids singularities at the origin.
The entropic gradient ∇S(r,t) is conceptually derived from the potential and local density:
∇S(r,t) ≈ - (dV/dr) · $\rho$(r,t)
Where: dV/dr is the derivative of the gravitational potential, and $\rho$(r,t) is the local density, assumed to decay exponentially with radial distance and time for illustrative purposes. A "causal boundary" is shown where $\rho$(r) becomes negligible. **Thermodynamic information gravity** is modeled by coupling the entropy gradient with metric deformations: $\delta G_{\mu\nu} \sim \nabla_\mu S \nabla_\nu S$.
This simulator conceptually integrates components for the dynamic metric tensor ($g_{\mu\nu}(r,t)$), including quantum vacuum pressure and entropic stratification, towards a unified stress-energy tensor.
This aims to explore scenarios where singularities are avoided through thermodynamically consistent formulations. The conceptual Einstein Field Equation is:
Gμν + Λgμν = 8πG (Tμνmatter + Tμνvacuum + Tμνentropy)
A conceptual **quantum decoherence rate** is also calculated, simulating the loss of quantum coherence near the core due to gravitational interactions and thermal dissipation. The **total DUT Hamiltonian** is conceptually represented by the sum of energies associated with gravity, quantum fields, and entropy: $H_{total} = H_{GR} + H_{QG} + H_{entropy}$.For full resolution of dynamic tensor equations and 3D/4D rendering with spatial voxelization at high fidelity, migration to cloud supercomputing platforms using technologies such as WebAssembly (WASM), CUDA, JAX, or PyTorch would be necessary. The current implementation focuses on conceptual models and enhanced 1D visualizations in a browser environment.
**Important Note:** Direct connections to real scientific database APIs are restricted. You can use **simulated data** provided below, or **import your own data file** (CSV/JSON) which you can manually download from agency portals (e.g., NASA, ESA, JAXA, Roscosmos).
No observational data loaded yet. Try loading simulated data or importing a file.
This section demonstrates a conceptual, blockchain-like, local ledger. It uses your browser's local storage to save hashed records of your simulation data. This ledger is **only local to your browser** and does not interact with external networks. It serves to illustrate the principle of immutability and data chaining for your personal records.
Ledger Status: No records yet.
Paste any data into the text area below to generate its SHA-256 hash. Useful for verifying data integrity or creating custom ledger entries.
This simple rule-based assistant checks simulation parameters and results for conceptual inconsistencies and offers suggestions.
The assistant is ready to analyze your parameters.
Performs a meta-consistency check between different simulation modules to ensure logical coherence within the DUT model.
Evaluates the theoretical validity of the DUT model in specific cosmic regimes based on maximum redshift and minimum observed mass.
Evaluate theoretical robustness based on predictions, confirmations, and falsifications. This serves as a conceptual tool for epistemic meta-analysis within the DUT framework.
Interact with the simulator using natural language commands. Try "help", "show constants", "simulate fossil with tmax 300", "load JWST data", or "explain potential equation".
Welcome to the DUT Interactive Console. Type 'help' for commands.
Simulates the conceptual abundance of Spontaneously Recombining Dark (SRD) particles at high redshift, reflecting a theoretical early universe phase.
SRD Abundance Plot: (x-axis: redshift, y-axis: relative abundance)
Models the evolution of active galaxy populations over cosmic time, considering initial formation and a decay process, for conceptual cosmic dating.
Simulates "fossil density" based on redshift, galaxy mass, and type, with an option to include JWST model data.
Calculates the theoretical evaporation time of black holes due to Hawking radiation, a quantum gravitational effect.
Conceptual model illustrating different global spacetime curvatures within the DUT framework.
Explores the conceptual "bio-potential" in extreme cosmic environments based on entropy gradients, a speculative aspect of DUT.
Simulates the theoretical delay in light reflection from a distant quantum mirror, incorporating classical travel time, entropy-induced deformation, and local gravitational perturbations. This module is a core component for exploring quantum gravity effects within the DUT.