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Big Flare-Up Theory (BFUT) · P19A · Born Rule Simulator
Interactive Companion · Papers P16, P17, P19, P19A

The Born Rule as Physical Substrate Energy — Not a Postulate

What this simulator shows

Quantum mechanics has a mysterious rule: the probability of finding a particle at position x is proportional to |ψ(x)|² — the square of the wavefunction. Standard physics treats this as a postulate with no physical explanation for why it is the square.

The Big Flare-Up Theory (BFUT) by Vijay Shankar Sharma provides a physical answer. A particle is a distributed disturbance in the Spaticle field — a real physical medium. Where the disturbance is stronger, it deposits more energy when it meets a detector. Energy scales as amplitude squared. The Born rule follows directly — it is not mysterious, it is wave physics.

Move the sliders. Watch where detection events (green dots) appear — always at the interference maxima where energy density is highest.

Papers P16 (Proton Geometry) · P17 (Force Emergence) · P19 (Standard Model Derivations) · P19A (Quantum Mechanics from Substrate) · Vijay Shankar Sharma · ORCID 0009-0001-9622-6121
ρ_s = 5.9×10⁻²⁷ kg/m³ Spaticle field equilibrium density — the single physical constant from which all results are derived
Live outputs
Born peak |ψ|²
Detection prob.
Active fringes
Regime
Substrate deformation energy density |ψ(x)|²
Detector coupling g·|ψ|² vs position — green dots = detection events
Detection probability vs coupling strength g
Detection table
Position x|ψ(x)|²g·|ψ|² couplingDetection