Book:On the Theory of Entropicity (ToE)

From HandWiki

Title: On the Discovery of New Laws of Conservation and Uncertainty, Probability and CPT-Theorem Symmetry-Breaking in the Standard Model of Particle Physics: More Revolutionary Insights from the Theory of Entropicity(ToE)[1][2]

Abstract:

We reformulate quantum field theory within the framework of the Theory of Entropicity (ToE),[3][4][5][6][7][8][9][10] where entropy operates as a fundamental dynamical field that governs probability flow, irreversibility, and symmetry breaking. By introducing an entropy-dependent field operator into the quantum evolution, we derive a new probability law that unifies wavefunction collapse and black hole information loss as irreversible transfers of amplitude into an unobservable entropy sector.

This entropy-based formulation explicitly breaks time-reversal symmetry, requiring a revised CPT law to restore invariance. In this view, matter and antimatter obey distinct entropy dynamics: entropy suppresses CP violation in electromagnetism and the strong interaction, while enhancing it in the weak force. We derive entropy-corrected CP-violating phases and show how decay rates are modified in high-entropy environments, with implications for particle physics and cosmology.

Extending standard quantum speed limits, we introduce an entropic speed bound and a thermodynamic uncertainty principle, treating energy and entropy fluctuations as co-equal resources. This leads to a new entropic time limit that defines a minimal duration for any interaction or measurement. These results constrain the performance limits of quantum gates, error correction, and measurement resolution, offering practical metrics for resilient quantum architectures.

Recent developments such as Google’s Willow quantum processor and Microsoft’s Majorana qubits naturally align with ToE’s predictions. We also analyze and extend the Total Entropic Quantity (TEQ) framework proposed by David Sigtermans and introduce an Entropic Noether Principle, linking traditional conservation laws to entropy-constrained symmetries. Experimental tests are proposed to distinguish ToE predictions from the Standard Model.

References

  1. Obidi, John Onimisi. A Critical Review of the Theory of Entropicity (ToE) on Original Contributions, Conceptual Innovations, and Pathways towards Enhanced Mathematical Rigor: An Addendum to the Discovery of New Laws of Conservation and Uncertainty. Cambridge University.(2025-06-30). https://doi.org/10.33774/coe-2025-hmk6n
  2. Obidi, John Onimisi (2025). Master Equation of the Theory of Entropicity (ToE). Encyclopedia. https://encyclopedia.pub/entry/58596
  3. Obidi, John Onimisi. A Critical Review of the Theory of Entropicity (ToE) on Original Contributions, Conceptual Innovations, and Pathways towards Enhanced Mathematical Rigor: An Addendum to the Discovery of New Laws of Conservation and Uncertainty. Cambridge University.(2025-06-30). https://doi.org/10.33774/coe-2025-hmk6nI
  4. Obidi, John Onimisi . "On the Discovery of New Laws of Conservation and Uncertainty, Probability and CPT-Theorem Symmetry-Breaking in the Standard Model of Particle Physics: More Revolutionary Insights from the Theory of Entropicity (ToE)". Cambridge University. (14 June 2025). https://doi.org/10.33774/coe-2025-n4n45
  5. Obidi, John Onimisi. Einstein and Bohr Finally Reconciled on Quantum Theory: The Theory of Entropicity (ToE) as the Unifying Resolution to the Problem of Quantum Measurement and Wave Function Collapse. Cambridge University. (14 April 2025). https://doi.org/10.33774/coe-2025-vrfrx
  6. Obidi, John Onimisi (25 March 2025). "Attosecond Constraints on Quantum Entanglement Formation as Empirical Evidence for the Theory of Entropicity (ToE)". Cambridge University. https://doi.org/10.33774/coe-2025-30swc
  7. Obidi, John Onimisi. The Theory of Entropicity (ToE) Validates Einstein’s General Relativity (GR) Prediction for Solar Starlight Deflection via an Entropic Coupling Constant η. Cambridge University. (23 March 2025). https://doi.org/10.33774/coe-2025-1cs81
  8. Obidi, John Onimisi. The Theory of Entropicity (ToE): An Entropy-Driven Derivation of Mercury’s Perihelion Precession Beyond Einstein’s Curved Spacetime in General Relativity (GR). Cambridge University. (16 March 2025). https://doi.org/10.33774/coe-2025-g55m9
  9. Obidi, John Onimisi. How the Generalized Entropic Expansion Equation (GEEE) Describes the Deceleration and Acceleration of the Universe in the Absence of Dark Energy. Cambridge University. (12 March 2025). https://doi.org/10.33774/coe-2025-6d843
  10. Obidi, John Onimisi. Corrections to the Classical Shapiro Time Delay in General Relativity (GR) from the Entropic Force-Field Hypothesis (EFFH). Cambridge University. (11 March 2025). https://doi.org/10.33774/coe-2025-v7m6c