Propagation-Budget Time 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.
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:
Important difference from General Relativity: In BFUT, gravitational time dilation terminates at the finite DD-1 domain boundary. It does not extend to infinity.
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:
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.
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.
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.
Albert Einstein gave us two of the most precisely confirmed theories in physics — and they contradict each other in their starting assumptions.
A moving clock runs slow. The faster you move, the slower time passes for you relative to a stationary observer. The formula: τ = t · √(1 − v²/c²).
Why? Einstein's answer: it follows mathematically from the constancy of the speed of light and the postulates of Special Relativity. There is no physical story for what is actually happening to the clock.
A clock near a massive object runs slow. The deeper in a gravitational field, the slower time passes. The formula: τ = t · √(1 − Rs/r).
Why? Curved spacetime. Mass warps the geometry of space and time. Again, no physical story — just geometry that predicts the right answers.
These two theories produce the same effect — time slowing down — but invoke completely different mechanisms: one requires relative velocity, the other requires curved geometry. They share the same mathematical form but have no common physical origin. Neither theory answers the question: what is actually happening inside the clock? Why does motion or gravity cause internal processes to slow? What is the shared physical substrate that both effects act upon?
Special and General Relativity also fail to unify with each other — they are mathematically incompatible at their foundations. Physicists have been trying to reconcile them for over a century.
The Spaticle field — the physical substrate of space — has a finite total propagation capacity. Every physical process, including internal clock evolution, draws from this same finite budget. The central equation is:
When an object moves spatially at velocity v, that consumes v² of the total budget c². Only c² − v² remains for internal evolution. The internal rate becomes η = √(1 − v²/c²). This is Special Relativity's formula — but now with a physical cause.
Mass creates organised deformation in the Spaticle substrate. This deformation reduces the local available propagation capacity. The internal rate of every process at that location slows by the same factor. This is General Relativity's formula — but grounded in substrate physics, not in abstract curved geometry.
Both effects act on the same quantity — the fraction of the Spaticle field's propagation budget available for internal clock evolution. They compound multiplicatively: η_total = η_kinematic × η_gravitational. This is why the total dilation is the product of both, not the sum. Special and General Relativity are not two separate theories in BFUT — they are two cases of one equation.
General Relativity and Special Relativity successfully describe how time dilation occurs. BFUT Paper 22 explains the physical reason behind it.
BFUT replaces mathematical descriptions with a concrete physical account grounded in the properties of the Spaticle substrate.