Technical Specifications

1. Firmium Physics Model (Updated)

Firmium is a metastable exotic inclusion with gravito-phononic coupling. We model it with state variables and tunable coefficients designed for real-time simulation and player instrumentation.

State Variables

• m(t): instantaneous mass
• T(t): instantaneous Firmionic temperature
• p(t) = m(t)·v(t): momentum
• m₀, T₀: natural mass & temperature upon leaving a stabilizing field
• c ∈ [0,1]: ore concentration factor

Coefficients

• βₘ: mass-gain per unit kinetic work
• βₜ: temperature-rise per unit kinetic work
• γ: decay rate (mass & temperature relaxation out of field)
• τ_field: microwave stabilization time constant (in-field)

Processes

1. Growth under Motion: Work from velocity change increases m and T proportional to β terms and concentration c.
2. Self-Decay: Exponential relaxation toward m₀, T₀ with rate γ (out of field).
3. Field Stabilization: In-field exponential return with time constant τ_field.
4. Impulses: Collisions (e.g., Firmion bolts) update momentum and inject work.

// Per time step Δt (outside field)
W ≈ Δ(½ m v²)
m ← m + βₘ·W·c
T ← T + βₜ·W·c
m ← m − γ·(m − m₀)·Δt
T ← T − γ·(T − T₀)·Δt

// Inside stabilizing field
m ← m + (m₀ − m)·(Δt/τ_field)
T ← T + (T₀ − T)·(Δt/τ_field)

Safety: Critical temperature triggers a cascade event. Explosion force and gravity pulses are limited by clamps to preserve numerical stability during gameplay.

2. Radiation Laser System

The radiation laser converts controlled pellet decay into beam energy and focuses it through an adjustable aperture and containment stack.

Energy Model

raw_energy = pellet_mass × decay_rate × scale × energy_variance
focused_energy = raw_energy × aperture_efficiency × containment_strength × stability_factor × energy_factor

Beam Propagation

• Coherence decreases over time due to dispersion (tuned by optics and containment).
• Energy decays with propagation; both affect damage and impulse imparted.

coherence_factor -= effective_dispersion × Δt × (1/containment_factor)
beam_energy *= (1 − energy_loss_rate × Δt)

damage ∝ beam_energy × coherence_factor
impulse ∝ (beam_energy × coherence_factor) · direction

Controls: Aperture, containment, and jiggle compensation act as player-accessible tuners. Stability factor relates to the pellet’s current oscillation/instability.

3. IBS Gravitational‑Wave Sensor

A real‑time wave sensor that estimates strain from local gravitational sources and explosion events. It samples at ~20 Hz and maintains short histories for display and analysis.

Operating Principle (Simplified)

// Wave strain h scales with source mass M, acceleration a, and distance r
h ~ (G · M · a) / (c^4 · r),   with  a ≈ v² / r_orbit

observed_amplitude = |h| × scale(sensitivity_mode)

Sensitivity Modes

• Asteroid Orbital (high sensitivity)
• Large Body
• Explosion Events
• Stellar Events
• Cosmic Scale (low sensitivity)

Telemetry

• Amplitude history (last ~200 samples) and dynamic background level
• Frequency hints from simple orbital estimates: f ≈ √(G·M/r³) / (2π)
• Source registry: type, rough mass, velocity magnitude, and distance

Use: Detects clean sinusoids during stable binaries and broadband spikes during cascades. Thresholds and scale factors adjust per mode to keep signals readable across regimes.

4. Thermodynamic & Cascade Sensor

Monitors Firmium fragments for stability, records complete cascade events, and correlates with wave readings for unified signatures.

Signals Captured

• Temperature T(t) and mass m(t) curves
• Gravity pulse amplitude during cascade
• Ship/asteroid impulse effects (kinematic response)
• Coefficients in play: βₘ, βₜ, γ at capture time

Event Model

• Begin recording when Firmium is present.
• Continue until ore disappears and wave background returns to baseline.
• Classify cascade severity from peak temperature and pulse strength.

if T(t) ≥ T_critical → cascade
explosion_force ∝ (m / m₀) × (T / T_scale)
record_until( background ≈ baseline )

Outputs: On‑screen scopes, plus HTML/JSON reports with plots and summary statistics for later analysis.

5. Data & Reports

• Event logs: timestamp, classification, max T, pulse, forces
• Time‑series exports: T(t), m(t), amplitude history, frequency hints
• HTML reports: embedded charts for quick reviews

6. Tools in Development

• Virtual Companion Controller (phase‑locked tractor fields)
• Binary Thermal Pump instrumentation (closed‑cycle power)
• EP thruster interface and grid‑power couplers
• Probe navigation for plane crossing toward Parallaxia
• Curriculum overlays and lab‑grade tutorials

Contact: robbkerr76@gmail.com • Project info/donations: GoFundMe