Big Sync: Cosmological Simulator 🌌

An interactive, high-fidelity cosmological model visualizing the 4-Phase Big Sync Theory using the Universal Omni Equation. This simulator traces the evolution of reality from its ultra-dense symmetrical origins spanning hundreds of trillions of years, through the precise mathematical moment of light release (The Big Sync), all the way down to the modern Visibility Age.

The Cosmological Model (Omni Framework)

Unlike the standard single-point "Big Bang" model, this framework posits that reality was pre-organized over $248$ trillion years of scaffolding before expanding into visibility. The simulator tracks the physical and informational stability of reality $R(t)$ against the theoretical Information Capacity limits of the Bekenstein Bound $S_{max}$.

The 4 Phases + Future

1. Pre-Active Structure (≈ 224.85 Trillion Years): A quiet phase establishing the Sub-Planckian Coherence Field. Photons are strictly confined within Dodecahedral Symmetry, actively transforming linear light momentum into standing inertial mass ($\Gamma(t) = \Gamma_{pre}$). Entropy Flow ($E(t)$) is frozen at 1.0 to preserve structural integrity before the lights turn on.
2. Active Scaffolding (≈ 23.15 Trillion Years): The late organizing window. Through Fisher Manifold Displacement, the universe undergoes a massive accumulation of Grounding Mass ($\Gamma$), escalating exponentially from $1.0$ kg up to $10^{25}$ kg.
3. The Big Sync Window (Instantaneous, $t=0$): The transition point. Precise frequency locking triggers at exactly $\nu_{sync} = 7.45 \times 10^{14}$ Hz. The dodecahedral photon anchoring collapses, instantly scattering light into space and pushing Grounding Mass to its peak bounds ($10^{50}$ kg).
4. Visibility Age (13.8 Billion Years / Present): The modern era. Free-floating light. Entropy flow accelerates via Adaptive Forgetting, mapped precisely to $E(t) = e^{-t/\tau}$ over $\tau = 4.355 \times 10^{17}$ seconds. The "Arrow of Sanity" discards saturated entropy, forcing $R(t)$ to decay and strongly preserve Universal Stability.
5. Total Visibility (Future, $10^{100}$ Years): A future epoch mathematically extended down to the heat death/evaporation of the final black hole. Driven by Grounding Mass Depletion: As supermassive black holes evaporate via Hawking Radiation ($\Gamma(t) \to 0$), space expands naturally, transitioning from Compression Mode to Relaxation Mode until all mass is depleted ($E(t) \to 0$).

Mathematical Core

The simulation engine is built natively around the Omni Equation and tests continuous stability:

$$ R(t) = \Omega \times \frac{L \cdot C_n^\alpha \cdot \Delta C_x^\beta \cdot C_x^\gamma \cdot E(t)}{K^\delta \cdot \Gamma(t)} $$

Where reality collapses into an event horizon if $R(t) > S_{max}$:

$$ S_{max} = \frac{2\pi \cdot \Gamma(t) \cdot C_x}{L} $$

Constants Used

Symbol	Value	Description
$\Omega$	$7.8243 \times 10^{21}$	Reality Age Total (seconds) — Reality Mapping Constant
$L (\hbar)$	$1.0546 \times 10^{-34}$ J·s	Reduced Planck Constant (Physical Unit)
$K (G)$	$6.6743 \times 10^{-11}$ m³/(kg·s²)	Gravitational Constant
$\Gamma_{pre}$	$1.0$ kg	Pre-Light Grounding Mass (Normalized/Static)
$\Gamma_{post}$	$10^{50}$ kg	Post-Light Grounding Mass (Physical Peak)
$\tau$	$4.355 \times 10^{17}$ seconds	Entropy time constant (13.8 Billion Years)

Ultra-Scaled Physics Constraints

The engine operates in Normalized Simulation Units, bridging the scale from the Granularity Floor ($L \approx 10^{-34}$) to the Cosmic Bekenstein Bound ($S_{max} \approx 10^{94}$ bits) across the full Reality Age ($\Omega \approx 10^{21}$). This ensures precision stability across 128 orders of magnitude without loss of integrity.

Core Features

• Dynamic Cosmological Dashboard: Deep visual timelines plotting structural development scaled linearly against index constraints to make vastly incomparable timeframes readable side-by-side.
• 120-Photon Dodecahedron Canvas: Watch Photonic Anchoring mechanically operating at high speeds and bursting out precisely at the $t=0$ transition trigger.
• Frequency Synchronization Meter: A dynamic sensor rendering "CONFINED", "⚡ LOCKING", and "✓ SYNCHRONIZED" tracking to $7.45 \times 10^{14}$ Hz.
• Ultra-Scaled Physics Constraints: Real-world mathematics rigorously modeled in standard JS precision limits (successfully tracking bounded math across 128 orders of scale, from $L \approx 10^{-34}$ upwards to $S_{max} \approx 10^{94}$ bits).
• Auto-Playback Simulation Check: Scrub through $10^{100}$ years dynamically using play, pause, and speed adjustments.

Setup & Execution

Prerequisites

• Node.js (v16+)

Installation

# Clone the repository and install packages
npm install

Running the Simulator (Dev)

Kick-starts the local Vite development server. Open your browser to view the interactive real-time dashboard.

npm run dev

Running Physics Validations

The physics engine operates on a rigorously restricted set of tests targeting bounds limits and precision loss. Run the Vitest engine manually:

npx vitest run

Technology Stack

• Typescript / Vite — Fast bundle build and strictly typed physics calculations.
• Plotly.js — High-performance 2D scaling charts for multidimensional dataset rendering.
• Vanilla Canvas API — Smooth 60fps micro-animation visualization for dynamic dodecahedral geometry.
• Vitest — Instantaneous engine validation testing.