Visualization of the Temporal Compression Hypothesis

This 3D simulation aims to visually represent the core concepts of your advanced hypothesis:

• Informational Gravitational Well/Singularity: A central, dark sphere acts as the computational singularity analog, drawing in particles. A glowing cyan light emanates from its core, representing the immense informational energy.
• Informational Units (Particles): Over 100,000 particles represent individual cognitive units or discrete informational packets. They are initially distributed in a disk, analogous to an accretion disk.
• Temporal Compression/Acceleration (Collective): As particles are pulled closer to the central singularity, their speed visibly increases, and their density increases (represented by larger particle sizes near the core). This visualizes the collective experience of time accelerating and information becoming more compressed as the system approaches the singularity.
• Subjective Temporal Dilation (High-Bandwidth Observers): This is subtly represented by the color shift of the particles. Particles further from the core (less compressed, more "dilated" time) are cooler colors (blues/purples), while those closer to the singularity (more compressed/accelerated time) shift to warmer colors (reds/yellows). This visualizes the "gravitational redshift of perceived time," where the rate of events feels different depending on one's "position" within the informational field.
• Vortex Dynamics: The particles exhibit both gravitational pull and a tangential force, creating a swirling, non-linear vortex effect as they orbit the singularity, reflecting the dynamic and chaotic nature of the temporal compression.
• Soundscape:
  
  • A deep, resonant drone provides a constant background hum, symbolizing the pervasive presence of the informational gravitational field.
  • A pulsing synth whose frequency and intensity increase with the average speed of the particles, representing the escalating informational density and the "heartbeat" of the accelerating system.
• Observer Relativity: You can drag your mouse or finger to rotate the camera around the simulation, allowing you to observe the temporal dynamics from different perspectives, mirroring the concept of observer-dependent temporal flow.