Home / Simulations / P22 — Propagation-Budget Time Dilation Simulator

BFUT P22

Propagation-Budget Time Simulator

Vijay Shankar Sharma
ORCID: 0009-0001-9622-6121

How to Use This Simulator

This page explains every control and what you observe when you change it. Both General Relativity and Special Relativity are unified in BFUT Paper 22 under one physical mechanism: the finite propagation capacity of the Spaticle substrate.

Gravitational Time Dilation

In standard General Relativity, mass curves spacetime and slows clocks near massive objects. This effect is usually described as extending to infinity.

In BFUT Paper 22, gravitational time dilation occurs because mass creates organized deformation in the Spaticle substrate. This deformation reduces the local propagation speed. Any clock (which depends on internal substrate evolution) therefore runs slower inside the deformed region.

What happens when you change Mass or Distance:

  • Increasing the mass strengthens the substrate deformation → lower propagation efficiency → the test clock slows down.
  • Moving the distance slider beyond 1.0 R_d takes you outside the deformation domain. At that point, gravitational time dilation from that mass disappears and the efficiency returns to normal (η = 1).

Important difference from General Relativity: In BFUT, gravitational time dilation terminates at the finite DD-1 domain boundary. It does not extend to infinity.

Velocity-Based Time Dilation (Special Relativity)

In standard Special Relativity, a clock moving at high speed runs slower than a clock at rest.

In BFUT Paper 22, this occurs because the substrate has finite propagation capacity. When an object moves, part of that capacity must be allocated to maintaining spatial motion. Less capacity remains available for internal evolution inside the clock, so it runs slow.

What happens when you change Velocity:

  • Higher velocity means more propagation capacity is used for motion → lower efficiency for internal processes → the test clock slows down.
  • This effect travels with the moving clock. It does not depend on being near a massive object.

The mathematical factor is the same as in Special Relativity, but BFUT gives it a clear physical origin: allocation of the substrate’s finite propagation capacity.

How the Two Effects Work Together

When both velocity and proximity to mass are present, the total slowing is the product of the two effects. Both mechanisms reduce the same resource — the fraction of substrate propagation capacity available for internal clock processes.

Use the “Isolate Kinematic Only” button to temporarily remove the gravitational contribution. This lets you clearly observe the pure velocity-based effect even when the clock is inside a gravitational domain.

Controls and What They Do

Presets

Load common scenarios instantly (Vacuum, moving observer, near the Sun, near a compact object, or photon path).

Velocity Slider

Controls the speed of the test clock. This changes the kinematic (Special Relativity) contribution to time dilation.

Mass Slider

Changes the central mass. Higher mass creates stronger substrate deformation and stronger gravitational time dilation (General Relativity effect), but only inside the domain.

Distance Slider

Sets the position of the test clock in units of the DD-1 domain radius. When the value exceeds 1.0, you leave the domain and gravitational time dilation from that mass ends.

“Isolate Kinematic Only” Button

Temporarily ignores the gravitational effect so you can study pure velocity-based time dilation in isolation.

Spaticle Active / OFF

When turned OFF, the simulator behaves like standard General Relativity (infinite-range effects, no domain boundary). Use this to compare BFUT predictions with conventional GR.

What BFUT Paper 22 Provides Beyond General Relativity and Special Relativity

General Relativity and Special Relativity successfully describe how time dilation occurs. BFUT Paper 22 explains the physical reason behind it.

  • Time is the accumulated evolution of states in the Spaticle substrate — not an abstract dimension.
  • Both gravitational and kinematic time dilation arise from one mechanism: reduction in the propagation capacity available for internal substrate evolution.
  • Gravitational time dilation has a finite range and terminates at the DD-1 domain boundary.
  • The speed of light c emerges as the maximum rate at which the substrate can reorganize.
  • Photons accumulate exactly zero proper time because they devote their entire propagation capacity to spatial motion.
  • True gravitational singularities are physically unreachable because infinite compression would eliminate the process that constitutes time.

BFUT replaces mathematical descriptions with a concrete physical account grounded in the properties of the Spaticle substrate.

Interactive Simulator

SCENARIOS
Temporarily removes gravitational contribution
VELOCITY (fraction of speed of light c)
η_kinematic = √(1 − v²/c²)
This is the fraction of internal evolution budget remaining. At v=c this is 0 (photon: no ageing). At v=0 this is 1 (full ageing).
1.000
GRAVITATIONAL η_grav = √(1 − Rs/r) FIELD
M☉ = one Solar mass = 1.99×10³⁰ kg
1.0 Solar masses
Unit = DD-1 Domain Radius R_d
Formula: R_d = (3M / 8π·ρ_s)^(1/3)
where ρ_s = 5.9×10⁻²⁷ kg/m³ (Spaticle field density)
At distance > 1.0: you are outside the domain — gravitational time dilation from this mass disappears (BFUT prediction — does NOT happen in standard GR)
0.80 × R_d
R_d = calculating...
Actual distance = calculating...
Visual Comparison
PROPAGATION EFFICIENCY η (eta)
KINEMATIC1.000
GRAVITATIONAL η_grav = √(1 − Rs/r)1.000
TOTAL 1.000
Accumulated Proper Time (10 years coordinate)
10.000