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Théorie de Maîtrise du Temps (TMT)

Overview

The Mastery of Time Theory (TMT) is an alternative formulation to standard ΛCDM cosmology, based on the concept of quantum temporal superposition.

Master Equation

The central formulation of TMT is based on the master equation:

\[\psi(\text{universe}) = \alpha(r,p,t)|t\rangle + \beta(r,p)|\bar{t}\rangle\]

where:

  • \(|t\rangle\) represents the forward time state (visible matter)
  • \(|\bar{t}\rangle\) represents the backward time state (dark matter as quantum reflection)
  • \(\alpha\) and \(\beta\) are probability amplitudes with \(|\alpha|^2 + |\beta|^2 = 1\)

Després-Schrödinger Equation

The unification of quantum mechanics and gravitation is achieved via the Després-Schrödinger equation:

\[ i\hbar [1 + \tau(x)]^{-1} \frac{\partial\psi}{\partial t} = \left[-\frac{\hbar^2}{2m_{eff}} \nabla^2 + V(x) + mc^2\tau(x)\right] \psi \]

where:

  • \(\tau(x) = \Phi(x)/c^2\) is the local temporal distortion
  • \([1 + \tau(x)]^{-1}\) slows time in gravitational fields
  • \(mc^2\tau(x)\) is the temporal potential (new term)
  • \(m_{eff} = m_0/\gamma_{\text{Després}}\) is the effective mass

This equation:

  • Recovers standard Schrödinger when \(\tau \to 0\)
  • Explains dark matter without exotic particles
  • Unifies QM + GR in a coherent framework

See the complete Lexicon for all TMT term definitions.

Validation Status

TMT achieves exceptional compatibility with major observational data:

Test Result Script Verdict
SPARC rotation curves 156/156 (100%) :material-file-code: test_TMT_v2_SPARC_reel.py ✅ VALIDATED
\(r_c(M)\) law r = 0.768 :material-file-code: investigation_r_c_variation.py ✅ VALIDATED
\(k(M)\) law \(R^2\) = 0.64 :material-file-code: test_TMT_v2_SPARC_reel.py ✅ VALIDATED
Weak Lensing Isotropy -0.024% :material-file-code: test_weak_lensing_TMT_vs_LCDM.py ✅ VALIDATED
COSMOS2015 Mass-Env r = 0.150 :material-file-code: test_weak_lensing_real_data.py ✅ VALIDATED
SNIa by environment pred: 0.57% :material-file-code: test_3_predictions_TMT.py ✅ VALIDATED
ISW Effect pred: 18.2% :material-file-code: calculate_ISW_improved.py ✅ VALIDATED
Hubble tension 100% resolved :material-file-code: calibrate_TMT_v23_cosmologie.py ✅ RESOLVED

Complete reproduction scripts: Detailed instructions and required data.

Conceptual Bridges vs ΛCDM

TMT establishes 7 fundamental conceptual bridges compared to the ΛCDM model:

  1. Known physics: Temporal superposition vs quantum physics + relativity
  2. Quantum mechanics: Time distortion / arrow of time
  3. General relativity: Temporons vs WIMP dark matter
  4. Thermodynamics: ϕ_T(p=1)=0 vs dark energy
  5. Cosmology: Differential expansion vs ΛCDM
  6. Particle physics: No WIMPs vs CDM particles
  7. Measurements: Hubble tension resolution vs ΛCDM discoveries

Documentation Structure

TMT - Production ready version (January 2026)