CST Time-Machine Simulator — Rings • Photons • 4 Clocks

Advanced Physics Layer — SR • GR • Sidereal Drift These are comparison readouts: CST stays the narrative layer; physics adds the engineering layer.

Special Relativity — Velocity Time Dilation

Example ship velocity (fraction of c)

58.0% c γ = 1.0000

CST Δt (ideal)

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Proper Δt′ (SR)

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Gravitational Time Dilation — Deep Wells

Reference body

GR factor √(1 − 2GM/rc²)

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CST Δt baseline

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Δt′ near body (GR)

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Sidereal vs Solar — Star Drift

Per-day drift (solar−sidereal)

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Accumulated drift over |Δt|

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As |Δt| grows, the sidereal star field slowly slips relative to the Sun-based CST clock, revealing the true galactic rhythm.

White = stable equilibrium • Red = traveling • Rings bob faster in transit; particles & photons accelerate

How This Time Machine Model Works — Clocks, Drive Equation & Equations

Clocks used (always live):

UTC Cosmic Clock — Universal reference for synchronization.
Current Local Clock — Your device’s local time.
Destination Clock — Target local date/time you dial.
Δt Clock — Signed difference from now → destination, which smoothly goes to zero during travel.

Equilibrium condition (visual demo): The machine holds a stable field when thermal, rotation, and phase terms are small. During travel, energy rises and the beam glows red; upon arrival, it returns to white, indicating equilibrium.

CST + rotation relations (illustrative):

Δt = t_dest − t_now
LOD(Δt) ≈ 24 h + (1.7 ms / 100 yr) × (Δt / yr) (tidal friction trend → future days slightly longer)
rotFactor(Δt) = 24 h / LOD(Δt)
ω_⊕(Δt) = 2π / (86400 s · rotFactor)

Time-machine drive equation (normalized in the HUD):

The field core stores energy E_field that behaves like an effective mass: m_equiv = E_field / c².
To sustain a time jump over an interval τ_travel, the drive power obeys
P_TM ≈ E_field / τ_travel = m_equiv c² / τ_travel.
In the simulator, the reactor bar and the numeric readout show m_equiv and P_TM in normalized units as the machine moves through time: larger jumps and faster convergence of Δt give bigger values.

Mass–energy conversion note: In a CST time-machine interpretation, the chamber’s glow stands in for field energy density. Einstein’s relation E = m c² can be read in reverse as m = E / c², so any stored field energy behaves like an effective mass. In a real particle-based time machine, raising the field energy inside the chamber is equivalent to loading more “mass” into the core; here, that shows up as a taller reactor core bar and changing equation numbers while the jump is in progress.

Time-machine power dimensional check: The expression
P_TM ≈ E_field / τ_travel = m_equiv c² / τ_travel has units of power [M L² T⁻³], just like a conventional engine. The simulator stays qualitative, but it keeps the same structure: you watch how the effective mass m_equiv and drive power P_TM respond as Δt collapses.

Cosmic motion notes: For geologic-scale jumps, you must account for Earth’s rotation change (LOD) and long-term orbital/axial effects. In this demo, the rings’ bob and intensity encode that: larger |Δt| → faster bobbing and brighter beam. Historically, tidal friction slows Earth’s rotation; orbital period changes are smaller but can be modeled if desired.

Interpretation: If the destination is far, |Δt| is large → the simulator shows higher field activity (faster bob, photons, particles). When you press Travel, Δt converges toward zero, the beam transitions red→white, and the rings/particles return to stable rates, indicating synchronized arrival. The field equation readout gives a live numeric view of how a CST time-machine drive would ramp its effective mass and power during that jump.

When Advanced Physics is ON, the CST ring stays your ideal time layer; the SR/GR & sidereal panels show how a relativistic engineer would compare that ideal against real spacetime slippage.