reddoma742/Davisson-Germer-DTQEM: DTQEM v44.0: A Physical Hypothesis Linking Quantum Decoherence to Proper-Time Discrepancy — Unified Interactive Framework for Double-Slit, Qubit, and Zeeman Systems

Overview ════════

DTQEM (Decoherence from Time-scale Quantum Effective Mismatch) is a theoretical framework proposing a new physical mechanism for quantum decoherence based on proper-time discrepancy between a quantum particle and its measuring apparatus.

This release (v44.0) provides a complete, unified, and interactive software package implementing the DTQEM hypothesis across three independent quantum systems.

Core Equation (D0 — Baseline Model) ════════════════════════════════════

V_eff = V_source(d) × exp(-γ_φ · τ) × exp(-|Δτ| / τ_c)

where:

V_source(d) = |sinc(π · s · d / (λ · L_src))| [Van Cittert-Zernike] exp(-γ_φ·τ) = environmental decoherence [Lindblad] exp(-|Δτ|/τ_c) = DTQEM proper-time term [this work]

Δτ = τ × (1 - 1/γ) proper-time discrepancy τ = a / v transit time γ = 1/√(1 - v²/c²) Lorentz factor τ_c free parameter (femtosecond scale)

Physical Hypothesis ═══════════════════

When a quantum particle moves at velocity v relative to the measuring apparatus, the particle experiences a proper time different from the apparatus clock. This proper-time discrepancy Δτ destroys quantum phase coherence independently of any environmental interaction.

The model adds one term, one free parameter (τ_c), and five falsifiable experimental predictions to the standard decoherence framework. It is fully compatible with quantum mechanics and special relativity.

Contents of This Release ════════════════════════

Five interactive Python codes (ipywidgets + matplotlib):

1. dtqem_double_slit_forward_v44.py Double-slit interference forward model. Computes I(x) with Van Cittert-Zernike source coherence, Lindblad environmental decoherence, and DTQEM proper-time decoherence. Real-time visualization of V_eff decomposition.

2. dtqem_double_slit_inverse_v44.py Inverse model for parameter extraction. Uses Differential Evolution (global) + L-BFGS-B (local) + Bootstrap (uncertainty quantification) to extract {τ_c, v, γ_φ} from experimental or synthetic data.

3. dtqem_qubit_decoherence_v44.py Qubit decoherence simulator. V_eff(t) = exp(-γ_φ·t) × exp(-|Δτ(t)|/τ_c) with Bloch sphere projection, velocity sweep, and coherence heatmap in (τ_c, β) space.

4. dtqem_zeeman_effect_v44.py Zeeman effect decoherence simulator. Coherence between Zeeman sub-levels m₁ and m₂ under magnetic field B. Δτ(t) = Δω·t = (|ΔE|/ħ)·t with energy level diagram and V_eff(B, t) heatmap.

5. dtqem_wave_code_v44.py Wave propagation core. Fresnel/Fraunhofer diffraction with DTQEM coherence envelope.

Key Features ════════════

— Unified framework: same D0 equation across all three systems — Interactive dashboards: ipywidgets sliders above matplotlib — Zero overlap: sliders (HTML layer) separated from figure — Dark professional theme (GitHub-style) — Real-time parameter updates — Export PNG and Reset buttons — Google Colab and Jupyter compatible — Full physical constants and dimensional consistency

Falsifiable Predictions ═══════════════════════

P1 Fringe visibility decreases monotonically with particle velocity at fixed slit geometry.

P2 The free parameter satisfies τ_c ≤ 10⁻¹⁵ s (femtosecond or shorter), extractable from existing double-slit data.

P3 V_eff is independent of detector material if τ_c belongs to the particle; depends on material if τ_c belongs to the detector interaction.

P4 Zeeman decoherence rate scales linearly with magnetic field B: Γ_DTQEM = (e|m₁-m₂|/2m) · B / τ_c

P5 Heavier particles show less DTQEM decoherence at the same velocity and magnetic field.

Dependencies ════════════

numpy >= 1.21 numerical computing matplotlib >= 3.5 visualization ipywidgets >= 7.6 interactive sliders scipy >= 1.7 inverse model (DE, L-BFGS-B)

How to Run ══════════

In Google Colab or Jupyter Notebook:

from dtqem_double_slit_forward_v44 import DoubleSlitDashboard from dtqem_qubit_decoherence_v44 import QubitDashboard from dtqem_zeeman_effect_v44 import ZeemanDashboard

DoubleSlitDashboard().show() # Double-slit interference QubitDashboard().show() # Qubit decoherence ZeemanDashboard().show() # Zeeman effect

Status ══════

This is a scientific hypothesis. No experimental data has been collected yet. The model is presented for theoretical evaluation, computational exploration, and experimental design.

The equation is waiting for data.

Contributors ════════════

Author : Berramdane Reddouane (Morocco)

AI Assistants: — Gemini (Google) — Theoretical discussions, D3 proposal — DeepSeek (深度求索) — Philosophical insights, critical analysis — Claude (Anthropic) — Code implementation (V44.0 series)

License ═══════

MIT License. Free to use, modify, and distribute with attribution.

Citation ════════

Berramdane, R. (2026). DTQEM v44.0: A Physical Hypothesis Linking Quantum Decoherence to Proper-Time Discrepancy — Unified Interactive Framework for Double-Slit, Qubit, and Zeeman Systems. Zenodo. doi.org

BibTeX:

@software{berramdane2026dtqem, title = {DTQEM v44.0: A Physical Hypothesis Linking Quantum Decoherence to Proper-Time Discrepancy}, author = {Berramdane, Reddouane}, contributors = {Gemini, DeepSeek, Claude}, year = {2026}, month = {05}, version = {44.0}, publisher = {Zenodo}, doi = {10.5281/zenodo.20260168}, url = {github.com }

Full Changelog: github.com