ECT Preprint — Calculation Scripts & Figures

All scripts in this repository reproduce the figures and numerical results in the ECT preprint (Euclidean Condensate Theory, V. Blagovidov, 2025).

Zenodo DOI: 10.5281/zenodo.18917930

Quick start

pip install numpy scipy matplotlib pandas

Scripts can be run with Python 3.10+ and standard scientific packages. SPARC data file MassModels_Lelli2016c.mrt must be in the working directory for rotation-curve scripts.

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Figure-generating scripts

Script	Output figure(s)	Paper location
fig1_SPARC_rotation_curves.py	set1_milky_way.pdf, set2_sparc_sample.pdf	Fig. 1–2 (Milky Way + SPARC sample)
fig2_EFE_external_field.py	diag_chi2_comparison.pdf, diag_fixed_vs_free_*.pdf, diag_gdag_*.pdf	Fig. 3–7 (EFE diagnostics)
fig3_condensate_scales.py	fig_condensate_scales.png	Condensate RG hierarchy
fig4_level4_selfconsistency.py	(self-consistency checks)	Level-4 consistency
fig5_cosmological_timeline_v2.py	ect_vs_lcdm_comparative_timeline_bw.pdf	ΛCDM vs ECT timeline
fig6_dimensionality.py	fig_dimensionality_phi.png	Force-law dimensionality d(r)
fig_bh_shell.py	fig_bh_shell.pdf, fig_bh_information.pdf	Black hole shell & information
fig_condensate_evolution.py	ect_condensate_evolution_schematic_bw.pdf	Condensate evolution schematic
fig_condensate_evolution_time.py	ect_condensate_evolution_time_bw.pdf	Condensate evolution (time axis)
fig_ect_architecture.py	fig_ect_architecture.pdf	ECT theory architecture
fig_ect_derivation_map.py	fig_ect_derivation_map.png	Derivation dependency map
fig_equation_hierarchy.py	fig_equation_hierarchy.pdf	Equation hierarchy diagram
fig_gamma_crossover.py	fig_gamma_crossover.pdf	Γ-crossover decoherence
fig_liv_delay.py	fig_liv_delay.pdf	Lorentz invariance violation delay
fig_qubit_info_decoherence.py	fig_qubit_info_decoherence.pdf	Qubit info & decoherence
fig_cosmo_predictions.py	fig_cosmo_predictions.png	Cosmological predictions summary
fig_regime_diagram.py	fig_regime_diagram.png	ECT regime diagram
fig_cluster_merger_suite.py	fig_bullet_main.png, fig_cluster_suite_budget.png	Bullet cluster + cluster budget
gen_fig_comparison.py	fig_coupling_comparison.png	Coupling constant comparison
gen_fig_species.py	fig_species_beta5.png	Species β₅ diagram
ect_btfr_new.py	ect_btfr_new_bw.pdf	Baryonic Tully-Fisher relation
ect_rar_new.py	ect_rar_new_6panel_bw.pdf	Radial acceleration relation (6-panel)
ect_gdagger_analysis_new.py	fig_gdagger_analysis_new_bw.pdf	g† analysis
ect_hubble_jwst_background.py	ect_hubble_jwst_background_bw.pdf, ect_h0_scan_bw.pdf	Hubble + JWST background
ect_hubble_jwst_background_v6.py	(extended version with anchor budget)	ect_jwst_anchor_budget_bw.pdf
build_ect_figures.py	ect_jwst_anchor_budget_bw.pdf, ect_condensate_param_scan_bw.pdf	Pack M multi-figure builder
build_comparative_timeline.py	ect_vs_lcdm_comparative_timeline_bw.pdf	Comparative timeline
build_derived_parent_comparison.py	ect_derived_parent_comparison_bw.pdf	Derived vs parent comparison
build_full_condensate_evolution.py	ect_full_condensate_universe_evolution_bw.pdf	Full condensate universe evolution
build_param_scan_bw.py	ect_condensate_param_scan_bw.pdf	Condensate parameter scan
draw_derivation_logic.py	Part I/II/III derivation logic diagrams	Uses Graphviz .gv source files

Calculation scripts

Script	Paper section	What it computes
calc_fundamental_constants.py	§5, Tab. 3	Derives c*, G_N, ℏ from (v₀, λ, α)
calc_universe_age.py	§12	Universe age integral: ΛCDM vs ECT
calc_JWST_halo_abundance.py	§12.1	Press-Schechter halo abundance enhancement
calc_inflation_spectral_index.py	§12	Inflation: n_s = 1 − 2/N_e, tensor-to-scalar ratio
calc_hubble_tension.py	§12	ΔH₀ from G_eff(z) = G(1+z)^{2ε}
calc_leptogenesis_eta_B.py	§18	Baryon asymmetry η_B from right-handed neutrino
calc_fifth_force_bounds.py	§9	Fifth force: spin precession, Eötvös, neutron star M_max

SPARC fitting pipeline

File	Purpose
ect_sparc_fit_phi_branch.py	Core fitter: ECT ϕ-branch rotation curves (v3f)
ect_sparc_plot_utils.py	Plotting utilities for SPARC results
MassModels_Lelli2016c.mrt	SPARC mass models data (Lelli et al. 2016)
ect_sparc_phi_all175.csv	Pre-computed ECT fits for 175 SPARC galaxies
sparc_environment.csv	Galaxy environment classifications

ECT closure formula: g(R) = 0.5 * (gN + sqrt(gN² + 4·gN·g†)) — do not modify.

Graphviz source files

File	Generates
fig_partI_derivation_logic.gv	Part I derivation logic diagram
fig_partII_derivation_logic.gv	Part II derivation logic diagram
fig_partIII_derivation_logic.gv	Part III derivation logic diagram

Compile with: /opt/homebrew/bin/dot -Tpng input.gv -o output.png

Interactive notebooks

Notebook	Description
01_rotation_curves_interactive.ipynb	Interactive SPARC rotation curve explorer
02_cosmology_interactive.ipynb	ECT cosmology: H(z), ages, growth factor
03_fundamental_constants_interactive.ipynb	Derive c*, G, ℏ from condensate parameters
ECT_interactive_dashboard.ipynb	Combined ECT dashboard

Figures

All 44 article figures are in figures/. Each corresponds to a generating script listed above.

Figures without identified generator scripts:

• fig_w_z_desi.png — DESI dark energy EOS (w₀, wₐ)
• fig_gdagger_hierarchy.png — g† hierarchy diagram
• github_qr.png — QR code for this repository

Physical conventions

• Natural units: c = ℏ = 1 unless stated otherwise
• G = 4.302×10⁻⁶ (km/s)² kpc / M☉ (rotation curve units)
• v₀ ≈ 2.4×10¹⁸ GeV, √λ ≈ 1.5×10⁴³ s⁻¹, α−1 ≈ 1

Citation

If you use these scripts, please cite the ECT preprint:

V. Blagovidov, "Euclidean Condensate Theory" (2025). Zenodo: 10.5281/zenodo.18917930