707 lines
26 KiB
Python
707 lines
26 KiB
Python
#!/usr/bin/env python3
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"""
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High-precision multiscale verification using externally sourced data
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Tests the geometric force principle F = ℏ²/(γmr³) across scales:
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- Atomic: F = ℏ²/(γmr³) = ke²/r²
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- Nuclear: F = ℏ²/(γm_q r³) + σr (geometric + confinement)
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- Planetary: F = s²ℏ²/(γmr³) = mv²/r where s = mvr/ℏ
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- Galactic: Same as planetary but expected breakdown
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Uses only external data sources. No conclusions drawn - data speaks for itself.
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Author: Andre Heinecke & AI Collaborators
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Date: June 2025
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License: CC BY-SA 4.0
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"""
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import numpy as np
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import sys
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import json
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import urllib.request
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import urllib.error
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from decimal import Decimal, getcontext
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import time
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import warnings
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# Set high precision for calculations
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getcontext().prec = 100
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# Try to import required libraries
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try:
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import scipy.constants as const
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from scipy.constants import physical_constants
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SCIPY_AVAILABLE = True
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except ImportError:
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SCIPY_AVAILABLE = False
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print("WARNING: scipy.constants not available")
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try:
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import requests
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REQUESTS_AVAILABLE = True
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except ImportError:
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REQUESTS_AVAILABLE = False
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print("WARNING: requests not available")
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# ==============================================================================
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# EXTERNAL DATA LOADERS
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# ==============================================================================
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def load_codata_constants():
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"""Load CODATA constants via scipy.constants with error handling"""
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if not SCIPY_AVAILABLE:
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return None
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constants = {}
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try:
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# Direct access to exact constants
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constants['c'] = {
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'value': const.c,
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'uncertainty': 0.0,
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'unit': 'm/s',
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'source': 'SI definition (exact)',
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'relative_uncertainty': 0.0
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}
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constants['h'] = {
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'value': const.h,
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'uncertainty': 0.0,
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'unit': 'J⋅s',
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'source': 'SI definition (exact)',
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'relative_uncertainty': 0.0
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}
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constants['hbar'] = {
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'value': const.hbar,
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'uncertainty': 0.0,
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'unit': 'J⋅s',
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'source': 'SI definition (exact)',
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'relative_uncertainty': 0.0
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}
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constants['e'] = {
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'value': const.e,
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'uncertainty': 0.0,
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'unit': 'C',
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'source': 'SI definition (exact)',
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'relative_uncertainty': 0.0
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}
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# Measured constants with uncertainties
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for name, scipy_name in [
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('me', 'electron mass'),
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('alpha', 'fine-structure constant'),
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('a0', 'Bohr radius'),
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('epsilon_0', 'electric constant'),
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('G', 'Newtonian constant of gravitation')
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]:
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if scipy_name in physical_constants:
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value, unit, uncertainty = physical_constants[scipy_name]
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constants[name] = {
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'value': value,
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'uncertainty': uncertainty,
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'unit': unit,
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'source': f'CODATA 2022 via scipy.constants',
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'relative_uncertainty': uncertainty/value if value != 0 else 0.0
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}
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# Calculate Coulomb constant (avoid const.k confusion)
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if 'epsilon_0' in constants:
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eps0 = constants['epsilon_0']['value']
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eps0_unc = constants['epsilon_0']['uncertainty']
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k_val = 1.0 / (4 * np.pi * eps0)
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k_unc = k_val * (eps0_unc / eps0) if eps0 != 0 else 0.0
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constants['k'] = {
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'value': k_val,
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'uncertainty': k_unc,
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'unit': 'N⋅m²⋅C⁻²',
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'source': 'Calculated from electric constant',
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'relative_uncertainty': k_unc / k_val if k_val != 0 else 0.0
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}
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return constants
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except Exception as e:
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print(f"ERROR fetching CODATA constants: {e}")
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return None
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def load_pdg_constants():
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"""Load particle physics constants from PDG or use authoritative values"""
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# PDG 2022 values for nuclear physics
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# Source: https://pdg.lbl.gov/2022/reviews/rpp2022-rev-phys-constants.pdf
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constants = {
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'proton_mass': {
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'value': 1.67262192595e-27, # kg
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'uncertainty': 5.2e-37,
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'unit': 'kg',
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'source': 'PDG 2022'
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},
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'neutron_mass': {
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'value': 1.67492750056e-27, # kg
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'uncertainty': 8.5e-37,
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'unit': 'kg',
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'source': 'PDG 2022'
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},
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'up_quark_mass': {
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'value': 2.16e-30, # kg (2.16 MeV/c²)
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'uncertainty': 0.49e-30,
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'unit': 'kg',
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'source': 'PDG 2022 (current mass)',
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'note': 'Current quark mass, not constituent'
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},
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'down_quark_mass': {
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'value': 4.67e-30, # kg (4.67 MeV/c²)
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'uncertainty': 0.48e-30,
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'unit': 'kg',
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'source': 'PDG 2022 (current mass)',
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'note': 'Current quark mass, not constituent'
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},
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'qcd_string_tension': {
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'value': 0.18e9 * const.e / 1e-15 if SCIPY_AVAILABLE else 2.88e-11, # N
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'uncertainty': 0.02e9 * const.e / 1e-15 if SCIPY_AVAILABLE else 3.2e-12,
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'unit': 'N',
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'source': 'Lattice QCD (FLAG 2021)',
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'note': 'σ = 0.18 ± 0.02 GeV²/fm'
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},
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'alpha_s': {
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'value': 0.1179, # at M_Z scale
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'uncertainty': 0.0010,
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'unit': 'dimensionless',
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'source': 'PDG 2022 (at M_Z = 91.2 GeV)',
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'note': 'Strong coupling constant'
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}
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}
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return constants
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def load_nasa_planetary_data():
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"""Load planetary data from NASA JPL or use authoritative cached values"""
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# High-precision values from NASA JPL Planetary Fact Sheet
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# https://nssdc.gsfc.nasa.gov/planetary/factsheet/
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# and IAU 2015 nominal values
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planets = {
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'Mercury': {
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'mass': 3.30104e23, # kg ± 1e18 (NASA JPL 2021)
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'semimajor_axis': 5.7909050e10, # m (IAU 2015 exact)
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'eccentricity': 0.20563593, # (NASA JPL)
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'orbital_period': 87.9691, # days
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'mean_orbital_velocity': 47362, # m/s
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'mass_uncertainty': 1e18,
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'source': 'NASA JPL Planetary Fact Sheet 2021, IAU 2015'
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},
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'Venus': {
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'mass': 4.86732e24,
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'semimajor_axis': 1.0820893e11,
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'eccentricity': 0.00677672,
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'orbital_period': 224.701,
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'mean_orbital_velocity': 35020,
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'mass_uncertainty': 1e19,
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'source': 'NASA JPL Planetary Fact Sheet 2021'
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},
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'Earth': {
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'mass': 5.97219e24, # kg (CODATA 2018)
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'semimajor_axis': 1.495978707e11, # m (IAU 2012 exact)
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'eccentricity': 0.01671123,
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'orbital_period': 365.256363004,
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'mean_orbital_velocity': 29784.77,
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'mass_uncertainty': 6e19, # CODATA uncertainty
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'source': 'CODATA 2018, IAU 2012'
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},
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'Mars': {
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'mass': 6.41693e23,
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'semimajor_axis': 2.2793664e11,
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'eccentricity': 0.0933941,
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'orbital_period': 686.980,
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'mean_orbital_velocity': 24077,
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'mass_uncertainty': 1e18,
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'source': 'NASA JPL Planetary Fact Sheet 2021'
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},
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'Jupiter': {
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'mass': 1.89813e27,
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'semimajor_axis': 7.7857e11,
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'eccentricity': 0.0489,
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'orbital_period': 4332.589,
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'mean_orbital_velocity': 13056,
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'mass_uncertainty': 1.9e23,
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'source': 'NASA JPL Planetary Fact Sheet 2021'
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}
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}
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# Add solar mass from IAU 2015
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planets['_solar_constants'] = {
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'M_sun': 1.9884754153381438e30, # kg (IAU 2015 nominal)
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'M_sun_uncertainty': 0, # Defined value
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'AU': 1.495978707e11, # m (IAU 2012 exact)
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'source': 'IAU 2015 nominal values'
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}
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return planets
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def load_galactic_data():
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"""Load galactic rotation data from literature or use authoritative compilation"""
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# Compilation from multiple authoritative sources:
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# - Reid et al. (2019) ApJ 885, 131 - Solar position
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# - Sofue (2020) PASJ 72, 4 - Galaxy rotation curve
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# - Gaia Collaboration (2021) A&A 649, A1 - Gaia EDR3
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# - McMillan (2017) MNRAS 465, 76 - Mass model
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galactic_data = {
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'solar_position': {
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'R0': 8178, # pc ± 13 (Reid et al. 2019)
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'R0_uncertainty': 13,
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'V0': 220, # km/s ± 3 (Reid et al. 2019)
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'V0_uncertainty': 3,
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'source': 'Reid et al. (2019) ApJ 885, 131'
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},
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'rotation_curve': [
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# R (kpc), V_circular (km/s), V_error (km/s), Source
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{'R_kpc': 1.0, 'V_kms': 180, 'V_error': 15, 'source': 'Inner Galaxy (Sofue 2020)'},
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{'R_kpc': 2.0, 'V_kms': 220, 'V_error': 10, 'source': 'Gaia DR3 + APOGEE'},
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{'R_kpc': 4.0, 'V_kms': 235, 'V_error': 8, 'source': 'Gaia DR3'},
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{'R_kpc': 6.0, 'V_kms': 240, 'V_error': 10, 'source': 'Gaia DR3'},
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{'R_kpc': 8.178, 'V_kms': 220, 'V_error': 3, 'source': 'Solar position (Reid 2019)'},
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{'R_kpc': 10.0, 'V_kms': 225, 'V_error': 12, 'source': 'Outer disk tracers'},
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{'R_kpc': 15.0, 'V_kms': 220, 'V_error': 20, 'source': 'Globular clusters'},
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{'R_kpc': 20.0, 'V_kms': 210, 'V_error': 25, 'source': 'Satellite galaxies'},
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{'R_kpc': 25.0, 'V_kms': 200, 'V_error': 30, 'source': 'Extended halo'}
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],
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'mass_model': {
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'bulge_mass': 1.5e10, # Solar masses (McMillan 2017)
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'bulge_uncertainty': 0.3e10,
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'disk_mass': 6.43e10, # Solar masses
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'disk_uncertainty': 0.5e10,
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'dark_halo_mass': 1.3e12, # Solar masses (within 200 kpc)
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'dark_halo_uncertainty': 0.3e12,
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'source': 'McMillan (2017) MNRAS 465, 76'
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}
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}
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return galactic_data
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# ==============================================================================
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# HIGH-PRECISION CALCULATION ENGINES
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# ==============================================================================
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def calculate_atomic_forces(Z, constants):
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"""Calculate atomic forces with high precision"""
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if not constants:
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return None
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getcontext().prec = 100
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try:
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# Convert to high-precision Decimal
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hbar = Decimal(str(constants['hbar']['value']))
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me = Decimal(str(constants['me']['value']))
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e = Decimal(str(constants['e']['value']))
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k = Decimal(str(constants['k']['value']))
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a0 = Decimal(str(constants['a0']['value']))
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alpha = Decimal(str(constants['alpha']['value']))
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# Slater's rules for effective charge (simplified)
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Z_dec = Decimal(str(Z))
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if Z == 1:
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Z_eff = Decimal('1.0')
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elif Z == 2:
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Z_eff = Z_dec - Decimal('0.3125')
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else:
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screening = Decimal('0.31') + Decimal('0.002') * (Z_dec - Decimal('2')) / Decimal('98')
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Z_eff = Z_dec - screening
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# Orbital radius
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r = a0 / Z_eff
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# Relativistic correction
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v_over_c = Z_dec * alpha
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if v_over_c < Decimal('0.1'):
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v2 = v_over_c * v_over_c
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gamma = Decimal('1') + v2 / Decimal('2') + Decimal('3') * v2 * v2 / Decimal('8')
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else:
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gamma = Decimal('1') / (Decimal('1') - v_over_c * v_over_c).sqrt()
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# QED corrections for heavy elements
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if Z > 70:
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alpha_sq = alpha * alpha
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z_ratio = Z_dec / Decimal('137')
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qed_correction = Decimal('1') + alpha_sq * z_ratio * z_ratio / Decimal('8')
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gamma = gamma * qed_correction
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# Calculate forces
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F_geometric = hbar * hbar / (gamma * me * r * r * r)
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F_coulomb = k * Z_eff * e * e / (gamma * r * r)
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# Results
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ratio = F_geometric / F_coulomb
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deviation_ppb = abs(Decimal('1') - ratio) * Decimal('1e9')
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return {
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'Z': Z,
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'Z_eff': float(Z_eff),
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'r_pm': float(r * Decimal('1e12')),
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'gamma': float(gamma),
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'F_geometric': float(F_geometric),
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'F_coulomb': float(F_coulomb),
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'ratio': float(ratio),
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'deviation_ppb': float(deviation_ppb),
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'uncertainties': {
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'me_contrib': float(Decimal(constants['me']['relative_uncertainty']) * Decimal('1e9')),
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'k_contrib': float(Decimal(constants['k']['relative_uncertainty']) * Decimal('1e9')),
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'a0_contrib': float(Decimal(constants['a0']['relative_uncertainty']) * Decimal('1e9'))
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}
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}
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except Exception as e:
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print(f"ERROR in atomic calculation for Z={Z}: {e}")
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return None
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def calculate_nuclear_forces(r_fm_array, nuclear_constants):
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"""Calculate nuclear forces with geometric + confinement model"""
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if not nuclear_constants:
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return None
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try:
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# Get nuclear parameters
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m_up = nuclear_constants['up_quark_mass']['value']
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m_down = nuclear_constants['down_quark_mass']['value']
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m_q_avg = (m_up + m_down) / 2
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sigma_qcd = nuclear_constants['qcd_string_tension']['value']
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if SCIPY_AVAILABLE:
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hbar = const.hbar
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else:
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hbar = 1.054571817e-34
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results = []
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for r_fm in r_fm_array:
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r = r_fm * 1e-15 # Convert fm to meters
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# Geometric force using average light quark mass
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F_geometric = hbar**2 / (m_q_avg * r**3)
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# QCD confinement force
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F_confinement = sigma_qcd * r
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# Total force
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F_total = F_geometric + F_confinement
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# Determine dominant term
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geometric_fraction = F_geometric / F_total
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confinement_fraction = F_confinement / F_total
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results.append({
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'r_fm': r_fm,
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'F_geometric': F_geometric,
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'F_confinement': F_confinement,
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'F_total': F_total,
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'geometric_fraction': geometric_fraction,
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'confinement_fraction': confinement_fraction,
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'dominant': 'geometric' if F_geometric > F_confinement else 'confinement'
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})
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# Calculate crossover point
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crossover_r = (hbar**2 / (m_q_avg * sigma_qcd))**(1/4)
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return {
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'results': results,
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'crossover_fm': crossover_r * 1e15,
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'parameters': {
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'm_q_avg_MeV': m_q_avg * (const.c**2 if SCIPY_AVAILABLE else 9e16) / (const.e if SCIPY_AVAILABLE else 1.6e-19) / 1e6,
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'sigma_GeV2_fm': sigma_qcd * 1e-15 / (const.e if SCIPY_AVAILABLE else 1.6e-19) / 1e9
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}
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}
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except Exception as e:
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print(f"ERROR in nuclear calculation: {e}")
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return None
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def calculate_planetary_forces(planetary_data, constants):
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"""Calculate planetary forces using geometric formula"""
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if not planetary_data or not constants:
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return None
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try:
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hbar = constants['hbar']['value']
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G = constants['G']['value']
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M_sun = planetary_data['_solar_constants']['M_sun']
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c = constants['c']['value']
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results = {}
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for planet_name, data in planetary_data.items():
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if planet_name.startswith('_'):
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continue
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m = data['mass']
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a = data['semimajor_axis']
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v = data['mean_orbital_velocity']
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e = data['eccentricity']
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# Calculate quantum number s = mvr/ℏ
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s = m * v * a / hbar
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# Relativistic factor (usually negligible for planets)
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gamma = 1 / np.sqrt(1 - (v/c)**2)
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# Geometric force: F = s²ℏ²/(γmr³)
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F_geometric = s**2 * hbar**2 / (gamma * m * a**3)
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# Classical centripetal force: F = mv²/r
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F_classical = m * v**2 / a
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# Gravitational force at semi-major axis
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F_gravity = G * M_sun * m / a**2
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# Calculate ratios
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geometric_classical_ratio = F_geometric / F_classical
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centripetal_gravity_ratio = F_classical / F_gravity
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results[planet_name] = {
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'mass_kg': m,
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'semimajor_axis_AU': a / planetary_data['_solar_constants']['AU'],
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'velocity_kms': v / 1000,
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'eccentricity': e,
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'quantum_number_s': s,
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'gamma_factor': gamma,
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'F_geometric': F_geometric,
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'F_classical': F_classical,
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'F_gravity': F_gravity,
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'geometric_classical_ratio': geometric_classical_ratio,
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'geometric_classical_deviation': abs(geometric_classical_ratio - 1),
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'centripetal_gravity_ratio': centripetal_gravity_ratio,
|
||
'centripetal_gravity_deviation': abs(centripetal_gravity_ratio - 1),
|
||
'mass_uncertainty': data.get('mass_uncertainty', 0) / m if m != 0 else 0
|
||
}
|
||
|
||
return results
|
||
|
||
except Exception as e:
|
||
print(f"ERROR in planetary calculation: {e}")
|
||
return None
|
||
|
||
def calculate_galactic_forces(galactic_data, constants):
|
||
"""Calculate galactic rotation using geometric principle"""
|
||
|
||
if not galactic_data or not constants:
|
||
return None
|
||
|
||
try:
|
||
G = constants['G']['value']
|
||
hbar = constants['hbar']['value']
|
||
c = constants['c']['value']
|
||
|
||
# Solar constants
|
||
M_sun = 1.9884754153381438e30 # kg (IAU 2015)
|
||
pc_to_m = 3.0857e16 # parsec to meters
|
||
|
||
# Mass model parameters
|
||
M_bulge = galactic_data['mass_model']['bulge_mass'] * M_sun
|
||
M_disk = galactic_data['mass_model']['disk_mass'] * M_sun
|
||
R_disk = 3.0 * 1000 * pc_to_m # 3 kpc scale length
|
||
|
||
results = []
|
||
|
||
for point in galactic_data['rotation_curve']:
|
||
R_kpc = point['R_kpc']
|
||
V_obs_kms = point['V_kms']
|
||
V_error = point['V_error']
|
||
|
||
# Convert units
|
||
R = R_kpc * 1000 * pc_to_m # kpc to meters
|
||
V_obs = V_obs_kms * 1000 # km/s to m/s
|
||
|
||
# Simple mass model (bulge + exponential disk)
|
||
M_enclosed = M_bulge + M_disk * (1 - np.exp(-R/R_disk))
|
||
|
||
# Predicted velocity from Newtonian gravity
|
||
V_newton = np.sqrt(G * M_enclosed / R)
|
||
|
||
# Test geometric principle with typical stellar mass
|
||
m_star = M_sun # Use solar mass as test mass
|
||
s = m_star * V_obs * R / hbar # Quantum number
|
||
|
||
# Geometric prediction: F = s²ℏ²/(mr³) should equal mv²/r
|
||
F_geometric = s**2 * hbar**2 / (m_star * R**3)
|
||
F_centripetal = m_star * V_obs**2 / R
|
||
geometric_ratio = F_geometric / F_centripetal
|
||
|
||
# Compare observed vs predicted velocities
|
||
newton_obs_ratio = V_newton / V_obs
|
||
velocity_discrepancy = V_obs - V_newton
|
||
|
||
results.append({
|
||
'R_kpc': R_kpc,
|
||
'V_obs_kms': V_obs_kms,
|
||
'V_error_kms': V_error,
|
||
'V_newton_kms': V_newton / 1000,
|
||
'M_enclosed_Msun': M_enclosed / M_sun,
|
||
'quantum_number_s': s,
|
||
'geometric_centripetal_ratio': geometric_ratio,
|
||
'newton_obs_ratio': newton_obs_ratio,
|
||
'velocity_discrepancy_kms': velocity_discrepancy / 1000,
|
||
'dark_matter_factor': (V_obs / V_newton)**2 # (V_obs/V_pred)² gives mass ratio
|
||
})
|
||
|
||
return results
|
||
|
||
except Exception as e:
|
||
print(f"ERROR in galactic calculation: {e}")
|
||
return None
|
||
|
||
# ==============================================================================
|
||
# MAIN VERIFICATION ROUTINE
|
||
# ==============================================================================
|
||
|
||
def main():
|
||
"""Main multiscale verification"""
|
||
|
||
print("MULTISCALE HIGH-PRECISION VERIFICATION")
|
||
print("="*70)
|
||
print("External data sources only. No interpretations - data speaks for itself.")
|
||
print("Repository: https://git.esus.name/esus/spin_paper/")
|
||
print()
|
||
|
||
# Load all external data
|
||
print("LOADING EXTERNAL DATA SOURCES")
|
||
print("-" * 40)
|
||
|
||
codata_constants = load_codata_constants()
|
||
nuclear_constants = load_pdg_constants()
|
||
planetary_data = load_nasa_planetary_data()
|
||
galactic_data = load_galactic_data()
|
||
|
||
if codata_constants:
|
||
print(f"✓ CODATA constants: {len(codata_constants)} values")
|
||
else:
|
||
print("❌ CODATA constants: Failed to fetch")
|
||
|
||
print(f"✓ Nuclear constants: {len(nuclear_constants)} values (PDG 2022)")
|
||
print(f"✓ Planetary data: {len(planetary_data)-1} planets (NASA JPL)")
|
||
print(f"✓ Galactic data: {len(galactic_data['rotation_curve'])} points (Gaia+literature)")
|
||
|
||
# 1. ATOMIC SCALE VERIFICATION
|
||
print(f"\n" + "="*70)
|
||
print("1. ATOMIC SCALE: F = ℏ²/(γmr³) = ke²/r²")
|
||
print("="*70)
|
||
print("Source: CODATA 2022 via scipy.constants")
|
||
|
||
if codata_constants:
|
||
test_elements = [1, 6, 18, 26, 47, 79, 92]
|
||
|
||
print(f"{'Z':<3} {'Element':<8} {'Z_eff':<6} {'r(pm)':<8} {'γ':<8} {'Ratio':<18} {'Dev(ppb)':<10}")
|
||
print("-" * 70)
|
||
|
||
atomic_deviations = []
|
||
for Z in test_elements:
|
||
result = calculate_atomic_forces(Z, codata_constants)
|
||
if result:
|
||
element_names = {1:'H', 6:'C', 18:'Ar', 26:'Fe', 47:'Ag', 79:'Au', 92:'U'}
|
||
elem = element_names.get(Z, f'Z{Z}')
|
||
|
||
print(f"{Z:<3} {elem:<8} {result['Z_eff']:<6.3f} {result['r_pm']:<8.2f} "
|
||
f"{result['gamma']:<8.5f} {result['ratio']:<18.15f} {result['deviation_ppb']:<10.6f}")
|
||
|
||
atomic_deviations.append(result['deviation_ppb'])
|
||
|
||
if atomic_deviations:
|
||
mean_dev = np.mean(atomic_deviations)
|
||
std_dev = np.std(atomic_deviations)
|
||
print(f"\nStatistics: Mean = {mean_dev:.6f} ppb, Std = {std_dev:.10f} ppb")
|
||
|
||
# Show uncertainty contributions
|
||
print(f"\nUncertainty sources (ppb):")
|
||
if test_elements and calculate_atomic_forces(1, codata_constants):
|
||
unc = calculate_atomic_forces(1, codata_constants)['uncertainties']
|
||
print(f" Electron mass: {unc['me_contrib']:.3f}")
|
||
print(f" Coulomb constant: {unc['k_contrib']:.3f}")
|
||
print(f" Bohr radius: {unc['a0_contrib']:.3f}")
|
||
|
||
# 2. NUCLEAR SCALE VERIFICATION
|
||
print(f"\n" + "="*70)
|
||
print("2. NUCLEAR SCALE: F = ℏ²/(γm_q r³) + σr")
|
||
print("="*70)
|
||
print("Source: PDG 2022 + Lattice QCD")
|
||
|
||
r_range = np.logspace(-1, 0.5, 12) # 0.1 to ~3 fm
|
||
nuclear_result = calculate_nuclear_forces(r_range, nuclear_constants)
|
||
|
||
if nuclear_result:
|
||
print(f"Quark mass: {nuclear_result['parameters']['m_q_avg_MeV']:.2f} MeV/c²")
|
||
print(f"String tension: {nuclear_result['parameters']['sigma_GeV2_fm']:.2f} GeV²/fm")
|
||
print(f"Crossover: {nuclear_result['crossover_fm']:.3f} fm")
|
||
print()
|
||
|
||
print(f"{'r(fm)':<8} {'F_geom(N)':<12} {'F_conf(N)':<12} {'Geom%':<8} {'Dominant':<10}")
|
||
print("-" * 55)
|
||
|
||
for res in nuclear_result['results']:
|
||
print(f"{res['r_fm']:<8.3f} {res['F_geometric']:<12.3e} {res['F_confinement']:<12.3e} "
|
||
f"{res['geometric_fraction']*100:<8.1f} {res['dominant']:<10}")
|
||
|
||
# 3. PLANETARY SCALE VERIFICATION
|
||
print(f"\n" + "="*70)
|
||
print("3. PLANETARY SCALE: F = s²ℏ²/(γmr³) = mv²/r")
|
||
print("="*70)
|
||
print("Source: NASA JPL + IAU standards")
|
||
|
||
planetary_result = calculate_planetary_forces(planetary_data, codata_constants)
|
||
|
||
if planetary_result:
|
||
print(f"{'Planet':<8} {'s-factor':<12} {'Geom/Class':<12} {'Cent/Grav':<12} {'Ecc':<8}")
|
||
print("-" * 55)
|
||
|
||
for planet, res in planetary_result.items():
|
||
print(f"{planet:<8} {res['quantum_number_s']:<12.2e} "
|
||
f"{res['geometric_classical_ratio']:<12.10f} "
|
||
f"{res['centripetal_gravity_ratio']:<12.8f} {res['eccentricity']:<8.5f}")
|
||
|
||
# 4. GALACTIC SCALE VERIFICATION
|
||
print(f"\n" + "="*70)
|
||
print("4. GALACTIC SCALE: Same formula, expected breakdown")
|
||
print("="*70)
|
||
print("Source: Gaia DR3 + Reid 2019 + McMillan 2017")
|
||
|
||
galactic_result = calculate_galactic_forces(galactic_data, codata_constants)
|
||
|
||
if galactic_result:
|
||
print(f"{'R(kpc)':<7} {'V_obs':<8} {'V_pred':<8} {'V_ratio':<8} {'DM_factor':<10} {'s-factor':<12}")
|
||
print("-" * 60)
|
||
|
||
for res in galactic_result:
|
||
print(f"{res['R_kpc']:<7.1f} {res['V_obs_kms']:<8.0f} "
|
||
f"{res['V_newton_kms']:<8.0f} {res['newton_obs_ratio']:<8.3f} "
|
||
f"{res['dark_matter_factor']:<10.2f} {res['quantum_number_s']:<12.2e}")
|
||
|
||
# 5. DATA SOURCES SUMMARY
|
||
print(f"\n" + "="*70)
|
||
print("DATA SOURCES")
|
||
print("="*70)
|
||
|
||
print("Atomic: CODATA 2022 via scipy.constants")
|
||
print("Nuclear: PDG 2022 + FLAG 2021 Lattice QCD")
|
||
print("Planetary: NASA JPL Fact Sheet 2021 + IAU 2015")
|
||
print("Galactic: Gaia DR3 + Reid (2019) + McMillan (2017)")
|
||
|
||
print(f"\nNOTE: Results presented without interpretation.")
|
||
print(f"Observer should evaluate where formulas work/fail.")
|
||
|
||
if __name__ == "__main__":
|
||
if len(sys.argv) > 1 and sys.argv[1] in ['-h', '--help']:
|
||
print("Usage: python multiscale_high_precision.py")
|
||
print(" Multiscale verification using external data only")
|
||
print(" Tests geometric force principle across all scales")
|
||
sys.exit(0)
|
||
|
||
main()
|