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)

—

Proper Δt′ (SR)

—

Gravitational Time Dilation — Deep Wells

Reference body

GR factor √(1 − 2GM/rc²)

—

CST Δt baseline

—

Δt′ near body (GR)

—

Sidereal vs Solar — Star Drift

Per-day drift (solar−sidereal)

—

Accumulated drift over |Δt|

—

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

General Relativity — Jump-Rope Loop Geometry (linked to CST field core m_equiv). The CTC condition uses the paper’s g_φφ(r) = α(r)² r² − a(r)².

Spacetime mode:

Frame-dragging a₀ (effective)

—

Chronology horizon r_crit

—

CTC region

—

Exotic matter flag

—

Energy-condition meter (NEC/WEC)

Idle (no loop)

min g_φφ	—
r at min	—
margin from 0	—

Plot of g_φφ(r) across the loop radius. Horizontal dashed line is g_φφ=0. If the curve dips below, CTCs appear in that band and NEC/WEC are violated in this toy model. Switching to CST-Warp / Einstein–Cartan adds a torsion term that lifts the curve and can remove the CTC zone.

Temporal Stability — Worldline Lock (Gloria Sánchez navigation). Less spatial drift ⇒ more stable time field.

Normalized worldline drift

—

Temporal stability index S

—

Stability mode

—

The stability panel treats the jump as a worldline maneuver: very small |Δt| corresponds to almost no drift along your cosmic path (Brownsville rides smoothly with Earth and the galaxy), so S ≈ 1. As |Δt| is pushed toward geologic or cosmological scales, the normalized drift rises and S falls toward warp-like motion, warning that even a “static” lat/long hides large spatial offsets in spacetime.

As the CST field core ramps (m_equiv, P_TM) during a jump, the effective frame-dragging a₀ increases. When g_φφ(r) turns negative, a CTC region appears and the model signals that macroscopic exotic matter would be required (classical NEC/WEC violation). The Energy-condition meter quantifies how deep that violation is, and the Mitigate function + CST-Warp / Einstein–Cartan mode show how torsion and control logic can pull the geometry back out of the exotic-matter regime in this simplified model.

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.

Temporal stability note: Even if you are “static” at one lat/long, Earth is rotating, orbiting the Sun, and moving through the galaxy. The temporal stability index S tracks, in a simplified way, how much effective worldline drift you accumulate for the chosen |Δt|. Small |Δt| means your worldline is almost coincident with Brownsville’s natural cosmic path (S ≈ 1); enormous |Δt| implies large offsets in spacetime and S drops toward a warp-like, less stable regime.

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. The Jump-Rope block adds a finite rotating-loop GR toy model whose CTC region is driven by the same CST field core. The Energy-condition meter and table quantify how close you are to NEC/WEC violation, and the Mitigate function + CST-Warp / Einstein–Cartan mode show how torsion and control logic can pull the geometry back out of the exotic-matter regime in this simplified model. The temporal stability panel encodes the Gloria Sánchez idea: the less spatial drift you allow while sliding through CST time, the more stable and Einstein-legal the time field remains.