FTL vs Expansion — Curvature Warp Tunnel Simulator (v2.6)

New: Warp Speed Meter — compute effective speed using distance and synchronized clocks (Earth & Ship). This is the right way to quantify a warp tunnel.

Target & Cosmology

Preset target

Total distance D (Gly) Comoving target distance

H₀ (km/s/Mpc) Try 67.7 or 70

Ω_m, Ω_Λ

Flat universe assumed

H_eff model Expansion used during travel

Vehicle / Tunnel

Mode

FTL cruise at f·c

FTL factor f (v=f·c) Unknown → explore

Drag model Toy Hubble headwind

Safety margin Extra 10% distance/time

Jump Planner (Warp‑Hole)

Plan: J per jump (Gly)

Auto‑compute Sets J and estimates requirements

# of jumps

—

Ceil(D/J) with margin

Total time

—

Latency‑dominated (Myr)

Field Power Index

—

Toy: ∝ J · H_eff/H₀

CST sync / jump

—

Myr

Shield dwell / jump

—

Myr

Notes

—

Stability gates ok?

FTL Time Solver (beat expansion)

Target time (Myr)

Required f

—

v = f·c in local‑drag model

Check

—

Is f > v_rec/c at D?

Recession at D

—

km/s and in c

FTL (toy) from t = (1/H)·ln[(f c)/(f c − H D)] ⇒ f = (H D / c) / (1 − e^{−H t}). Uses H from the chosen model and D with margin.

Warp Speed Meter (Distance + Synchronized Clocks)

Use this to measure effective translation speed of a warp tunnel. Enter the separation and the elapsed time on Earth and on the Ship (proper time). Works for any baseline (Pluto, exoplanet, etc.).

Distance L

Earth↔Target separation at event time

Earth elapsed Δt_E (s) Earth clock: arrival − departure

Ship elapsed Δt_S (s) Ship clock: arrival − departure

Compares to c and reports ×c

v_ext (Earth)

—

km/s and ×c

v_ship (Proper)

—

km/s and ×c

Light time (for L)

—

Seconds @ c for comparison

Note: This does not time a light beam. It uses clocks and geometry—the correct way to quantify tunnel translation.

Results

Recession speed at D

—

Using chosen H model

Reachability

—

Can the mission beat expansion?

Est. travel time

—

Gyr (toy model)

Warp‑hole ≠ wormhole. The bubble moves spacetime; latency (CST sync + stability) sets mission time. FPI is a heuristic scaling with jump size and expansion pressure.

Math & CST Ledger

Equations (toy forms)

Recession: v_rec = H · D

FTL time (drag model): t = (1/H) · ln[(f·c)/(f·c − H·D)]

Required f for target t: f = (H·D/c) / (1 − e^{−H·t})

Warp‑tunnel jumps: N = ceil((1+margin)·D / J), T_ext ≈ N · τ_lat

Warp Meter: v_ext = L / Δt_E, v_ship = L / Δt_S, k = v/c

H_eff: — km/s/Mpc

v_rec(D): —

N jumps: —

Tunnel time: —

f (for target t): —

CST Time Ledger (Warp‑Hole/Tunnel)

On‑site time: —

Latency counts as crew aging? —

Ship aging: —

Earth elapsed: —

If CST-locked, ship and Earth advance together; only time you live (on‑site and, if chosen, latency) accrues.