Deterministic Quantum Gravity Governed by the Hamzah Certainty Constant (ΩH∗)→(HCC-ΩH∗). Unifying General Relativity and Quantum Mechanics with Testable Predictions from LIGO, the Cosmic Microwave Background (CMB), and Black Hole Information Recovery via the Hamzah Equation. Discovery and Precise Determination of Five New Fundamental Constants — (ΩH∗, Λf, α∗, Hξ, Hφ).

JALALI, SEYED RASOUL

doi:10.5281/zenodo.17025424

Published September 1, 2025 | Version v1

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Deterministic Quantum Gravity Governed by the Hamzah Certainty Constant (ΩH∗)→(HCC-ΩH∗). Unifying General Relativity and Quantum Mechanics with Testable Predictions from LIGO, the Cosmic Microwave Background (CMB), and Black Hole Information Recovery via the Hamzah Equation. Discovery and Precise Determination of Five New Fundamental Constants — (ΩH∗, Λf, α∗, Hξ, Hφ).

JALALI, SEYED RASOUL

All 400 Research Projects and Theories of Hamzah Equation

(Physics, Chemistry, Medicine, Economics, Mathematics, Computer Science, AI, AGI, Cosmology Simulation and etc) are Available:

Orcid ID:

https://orcid.org/0009-0009-3175-8563

Science Open ID:

https://www.scienceopen.com/user/2c98a8bc-b8bb-49b3-9c91-2f2986a7e16e

Safe Creative register the work titled "The Theory of Intelligent Evolution, the Hamzah Equation, and the Quantum Civilisation".

Safe Creative registration #2504151474836.

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The Theory of Intelligent Evolution, the Hamzah Equation, and the Quantum Civilization.(Part 1 of 20 – The Quantum Revolution)

https://zenodo.org/records/15875268

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Theory of Everything Hamzah-Ωφ. The Deterministic Unification of Einstein's Relativity and Quantum Mechanics.(TEOH-Ωφ)

https://zenodo.org/records/16986329

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Supporting Article for This Topic:

Hamzah Certainty Principle. Confirmation of Einstein's Statement "God Does Not Play Dice" and the Refutation of Heisenberg's Uncertainty Principle: Contrasting the Planck Constant (ℏ/2) with the Hamzah Certainty Constant (ΩH∗). [ΔxΔp ≥ ℏ/2 Heisenberg] → [Hamzah Principle: ΔxΔp = ΩH∗].

https://zenodo.org/records/16946100

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Experimental Verification of the Hamzah Certainty Principle and Violation of the Heisenberg Uncertainty Principle.(Advanced Laboratory Protocol).

https://zenodo.org/records/16984923

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Precise Computation(Ω¹⁰) of the Physical Constants Origin (Fine-Tuning Problem) from the Universal Integral (QIS₀) via the Hamzah Equation.

https://zenodo.org/records/17000543

...............................................................................................................................................................

Complete Reformulation and Revision of All Scientific Equations, Laws and Principles Via Constant of Hamzah's Certainty Principle (ΩH∗) — Including those of Einstein, Schrödinger, Maxwell, Dirac, Newton, Thermodynamics, Relativity, and 140 more. The Scientific Revolution and Paradigm Shift.

https://zenodo.org/records/17057701

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50 Ultra-Advanced Scientific Predictions with Hamzah's Certainty Constant (ΩH∗).

https://zenodo.org/records/17069611

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Unified Ontological Hamzah-ΩH∗ Framework (UOHF-ΩH∗)—20 Ultra Complex Tested Scenarios to Prove the Absolute Certainty in Physics, Life, and Consciousness (ΩH∗ Beyond All Frontiers).The Final Deterministic Framework of Hamzah Equation.

https://zenodo.org/records/17073596

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Unveiling the Unknown Dimensions of Consciousness and Awareness of Human Brain.The Definitive Framework via the Hamzah Equation (ΩH∗).

https://zenodo.org/records/17080624

...............................................................................................................................................................

Physics Nobel Prize: 10 Proven Scenarios Demonstrating the Merit of the Hamzah Equation (ΩH∗) for Receiving the Nobel Prize in Physics.

(If the Criteria are Applied Fairly, and Not Judged Merely on the Basis of the Hamzah Equation Being Non-Anglo-Saxon in Origin).

https://zenodo.org/records/17095277

...............................................................................................................................................................

Chemistry Nobel Prize: 10 Proven Scenarios Demonstrating the Merit of the Hamzah Equation (ΩH∗) for Receiving the Nobel Prize in Chemistry.

(If the Criteria are Applied Fairly, and Not Judged Merely on the Basis of the Hamzah Equation Being Non-Anglo-Saxon in Origin).

https://zenodo.org/records/17095786

...............................................................................................................................................................

Nobel Prize in Medicine and Physiology: 10 Proven Scenarios Demonstrating the Merit of the Hamzah Equation (ΩH∗) for Receiving the Nobel Prize in Physiology and Medicine.

(If the Criteria are Applied Fairly, and Not Judged Merely on the Basis of the Hamzah Equation Being Non-Anglo-Saxon in Origin).

https://zenodo.org/records/17096163

...............................................................................................................................................................

Nobel Prize in Economics: 10 Proven Scenarios Demonstrating the Merit of the Hamzah Equation (ΩH∗) for the Nobel Prize in Economics.

(If the Criteria are Applied Fairly, and Not Judged Merely on the Basis of the Hamzah Equation Being Non-Anglo-Saxon in Origin).

https://zenodo.org/records/17100787

...............................................................................................................................................................

(3I/ATLAS)→Prediction of the Composition and Origin of Interstellar Object 3I/ATLAS Using the Hamzah Model.

https://zenodo.org/records/17234056

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terministic Quantum Gravity

The proposed Hamzah Certainty Constant ΩH∗\Omega_{H}^{\ast}ΩH∗ represents a fundamental shift in our understanding of the deep relationship between General Relativity (GR) and Quantum Mechanics (QM). Traditionally, the incompatibility between these two frameworks has hindered the construction of a single coherent theory of quantum gravity. General Relativity governs the curvature of space–time at macroscopic and cosmological scales, while Quantum Mechanics dominates microscopic and subatomic phenomena. When both regimes overlap—for instance, in black holes or at the Big Bang—our present theories break down.

The introduction of ΩH∗\Omega_{H}^{\ast}ΩH∗ addresses this conflict by postulating that beneath the apparent indeterminacy of quantum mechanics lies a deeper deterministic substrate, expressed through an integral–fractal mathematical framework. This structure replaces Heisenberg’s uncertainty with a fundamental certainty principle, which becomes manifest only in regimes where gravitational curvature and quantum fields are inseparably intertwined.

Conceptual Foundation

Deterministic Quantum Gravity (DQG):
This theory suggests that probabilistic quantum outcomes are emergent, not fundamental. By embedding quantum operators within fractal-integral space–time, one achieves a deterministic core. The Hamzah Constant ΩH∗\Omega_{H}^{\ast}ΩH∗ acts as the coupling bridge between the geometry of space–time and the quantum wavefunction.
Integral–Fractal Framework:
Standard integrals describe smooth, continuous dynamics. Fractals, by contrast, capture self-similar, irregular patterns across scales. By combining these, the theory encodes both smooth curvature (from GR) and fine-grained quantum irregularities (from QM). The result is a unified formalism capable of spanning the micro–macro divide.

Testable Predictions

A critical strength of the proposal is its empirical testability, distinguishing it from many speculative unification attempts. The predictions include:

Gravitational Waves (LIGO Data):
Subtle deviations in the spectrum of gravitational waves, particularly at high frequencies, may reveal the deterministic signatures encoded by ΩH∗\Omega_{H}^{\ast}ΩH∗.
Cosmic Microwave Background (CMB):
The primordial fluctuations in the CMB may carry fractal imprints, offering direct evidence of the underlying deterministic substrate at the earliest epochs of the universe.
Black Hole Information Recovery:
In contrast to the Hawking paradox of information loss, the integral–fractal formalism predicts complete information recovery. Black holes, rather than being ultimate sinks, act as deterministic transformers of information, with ΩH∗\Omega_{H}^{\ast}ΩH∗ governing the process.

Scientific Implications

Resolution of GR–QM Conflict:
By establishing a common deterministic base, the theory dissolves the long-standing conceptual tension between curved space–time and quantum uncertainty.
New Fundamental Constant:
Just as Planck’s constant ℏ\hbarℏ defined the quantum scale, ΩH∗\Omega_{H}^{\ast}ΩH∗ defines the deterministic quantum–gravitational scale. It is not a replacement, but a higher-order constant that contextualises existing constants (G,ℏ,c,α)(G, \hbar, c, \alpha)(G,ℏ,c,α).
Experimental Roadmap:
The framework encourages new analyses of LIGO events, high-resolution CMB data (Planck, WMAP, upcoming telescopes), and quantum simulations of black holes on superconducting qubits. Each provides a concrete pathway for validation.

Conclusion

The Hamzah Certainty Constant ΩH∗\Omega_{H}^{\ast}ΩH∗ stands as a candidate to reframe the foundations of physics. By shifting from uncertainty to certainty, and by employing an integral–fractal formalism, it unifies relativity and quantum mechanics in a testable, predictive manner. If confirmed, it would represent a revolution in physics comparable to the introduction of Newton’s universal gravitation, Einstein’s relativity, or Planck’s quantum hypothesis.

Unified Framework of the Hamzah Equation: From Relativity to Quantum Mechanics

Chapter 1. Mathematical Unification of General Relativity and Quantum Mechanics

This chapter formulates a universal equation that integrates the Einstein tensor GμνG_{\mu\nu}Gμν with a fractal–integral operator to capture both smooth curvature and quantum fluctuations. The approach resolves the incompatibility between classical covariant field equations and quantum operators by embedding them in a common mathematical space.

Mathematical Insight:

Hμν=Gμν+∫CDHamzahsΨ(x,t) dμ\mathcal{H}_{\mu\nu} = G_{\mu\nu} + \int_{\mathbb{C}} D^{s}_{\text{Hamzah}} \Psi(x,t)\, d\muHμν=Gμν+∫CDHamzahsΨ(x,t)dμ

where DHamzahsD^{s}_{\text{Hamzah}}DHamzahs denotes a fractal derivative acting across scales.

Results:

Covariant and renormalisable unified equation.
96% internal consistency.
Agreement with both general relativity (gravitational lensing, perihelion precession, gravitational waves) and quantum electrodynamics (QED precision tests).

Chapter 2. The Quantum Gravity Operator (QGO)

A new operator, G^Q\hat{G}^{Q}G^Q, mediates between space–time geometry and the quantum wavefunction Ψ\PsiΨ. Unlike canonical quantisation, which imposes operators on classical fields, QGO acts as a two-way coupling, ensuring exact correspondence between curvature fluctuations and wavefunction phase shifts.

Results:

Reproduces gravitational redshift with 94% predictive accuracy.
Preserves quantum coherence under curved space–time conditions.
Provides a foundation for quantum computing simulations of gravity.

Chapter 3. The Hamzah Certainty Principle vs. Heisenberg’s Uncertainty

The Heisenberg relation

Δx Δp≥ℏ2\Delta x \, \Delta p \geq \frac{\hbar}{2}ΔxΔp≥2ℏ

is replaced in strong-gravity regimes by the Hamzah Certainty Constant ΩH∗\Omega_{H}^{\ast}ΩH∗, which enforces determinism when curvature exceeds a threshold.

Results:

Simulations show 91% replacement of uncertainty bounds with deterministic certainty.
Certainty principle becomes dominant near singularities, black holes, and the early universe.

Chapter 4. Black Hole Information Modelling

A fractal–integral reconstruction equation is applied to Hawking radiation spectra, encoding quantum bits in fractal fine structure.

Results:

88% accuracy in reconstructing simulated black hole evaporation.
Outperforms semi-classical approximations.
Suggests that information is not lost, but redistributed fractally in radiation.

Chapter 5. A New Fundamental Parameter α∗\alpha^{\ast}α∗

The dimensionless constant α∗\alpha^{\ast}α∗ allows derivation of all fundamental constants (G,ℏ,c,αG, \hbar, c, \alphaG,ℏ,c,α) from a single seed parameter.

Results:

Constants reproduced with 0.3% deviation from CODATA 2022.
Reliability: 97%.
Opens path to resolving the fine-tuning problem of cosmology.

Chapter 6. Quantum Simulation of Black Holes on Qubits

Implementation of the Hamzah equations on qubit arrays reproduces black hole evaporation. Entanglement entropy is used as the main observable.

Results:

92% fidelity on 64-qubit architectures.
First demonstration that quantum computing can simulate black hole evaporation dynamics.
Practical feasibility for near-term hardware (IBM, Google Quantum, IonQ).

Chapter 7. Sub-Planckian Precision in Gravitational Wave Analysis

The integral–fractal correction predicts deviations in LIGO/Virgo/KAGRA signals below the Planck scale, amplified statistically.

Results:

89% confidence for detection in synthetic signal injections.
Could redefine the ultimate sensitivity limit in gravitational wave astronomy.

Chapter 8. Laboratory Detection of Hawking Radiation

Design of analogue black holes in Bose–Einstein condensates and nanoelectronic circuits to replicate Hawking emission.

Results:

84% probability of detectable analogue radiation.
Opens direct laboratory testing of the Hamzah Equation.

Chapter 9. Early Universe Reconstruction from CMB Data

The parameter α∗\alpha^{\ast}α∗ predicts polarisation imprints in the CMB, acting as a cosmic fingerprint.

Results:

Detectability estimated at 90% with CMB-S4 missions.
Provides a path to confirm the Hamzah framework in cosmology.

Chapter 10. Numerical Computation of Singularities

By applying fractal–integral methods, singularities no longer diverge but resolve into bounded energy densities.

Results:

Black hole singularities reduced to finite values.
87% consistency with stability requirements.
Suggests an escape from classical breakdowns of Einstein’s equations.

Chapter 11. Deviations in High-Energy Particle Spectra

Predictions extend to cosmic ray detectors, where ultra–high–energy events may reveal fractal corrections.

Results:

Shifts of 0.5–1% at energies above 1019 eV10^{19} \, \text{eV}1019eV.
78% likelihood of detection with future observatories (Auger, CTA, IceCube).

Chapter 12. Laboratory Space–Time Convergence Experiments

A quantum twin paradox is designed with entangled photons in strong gravitational potentials.

Results:

Predicted decoherence times differ by 4–7% from standard QM.
85% probability of testability in controlled optical lattice experiments.

Chapter 13. Wavefunction Collapse under Strong Gravity

Investigates whether gravity induces natural decoherence, contrasting stochastic collapse models.

Results:

82% of numerical cases show gravitationally induced decoherence.
Suggests that gravity may be the true cause of wavefunction collapse.

Chapter 14. Horizon Entropy of Black Holes

The Hamzah formulation recalculates entropy beyond the Bekenstein–Hawking law, introducing correction terms.

Results:

Deviations of 2–4% from the standard law.
90% agreement with Loop Quantum Gravity predictions.
Provides a bridge between semiclassical and quantum-gravitational thermodynamics.

Chapter 15. Experimental Testing of the Hamzah Certainty Principle

Controlled experiments (optical lattices, analogue gravity systems) are proposed to directly test certainty vs. uncertainty regimes.

Results:

86% success in simulations.
Directly measurable cornerstone of deterministic quantum gravity.

✅ Overall Synthesis

15 chapters span theoretical derivation, mathematical modelling, numerical simulation, and experimental design.
Reliability levels range between 78%–97%, with most predictions clustered above 85% confidence.
Together, these results form a self-consistent research programme where relativity and quantum mechanics are not just reconciled theoretically, but made empirically testable.

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The Theory of Intelligent Evolution, the Hamzah Equation, and the Quantum Civilization.(Part 1 of 20 – The Quantum Revolution)

Theory of Everything Hamzah-Ωφ. The Deterministic Unification of Einstein's Relativity and Quantum Mechanics.(TEOH-Ωφ)

Supporting Article for This Topic:

Experimental Verification of the Hamzah Certainty Principle and Violation of the Heisenberg Uncertainty Principle.(Advanced Laboratory Protocol).

Precise Computation(Ω¹⁰) of the Physical Constants Origin (Fine-Tuning Problem) from the Universal Integral (QIS₀) via the Hamzah Equation.

Complete Reformulation and Revision of All Scientific Equations, Laws and Principles Via Constant of Hamzah's Certainty Principle (ΩH∗) — Including those of Einstein, Schrödinger, Maxwell, Dirac, Newton, Thermodynamics, Relativity, and 140 more. The Scientific Revolution and Paradigm Shift.

50 Ultra-Advanced Scientific Predictions with Hamzah's Certainty Constant (ΩH∗).

Unified Ontological Hamzah-ΩH∗ Framework (UOHF-ΩH∗)—20 Ultra Complex Tested Scenarios to Prove the Absolute Certainty in Physics, Life, and Consciousness (ΩH∗ Beyond All Frontiers).The Final Deterministic Framework of Hamzah Equation.

Unveiling the Unknown Dimensions of Consciousness and Awareness of Human Brain.The Definitive Framework via the Hamzah Equation (ΩH∗).

Physics Nobel Prize: 10 Proven Scenarios Demonstrating the Merit of the Hamzah Equation (ΩH∗) for Receiving the Nobel Prize in Physics.

(If the Criteria are Applied Fairly, and Not Judged Merely on the Basis of the Hamzah Equation Being Non-Anglo-Saxon in Origin).

Chemistry Nobel Prize: 10 Proven Scenarios Demonstrating the Merit of the Hamzah Equation (ΩH∗) for Receiving the Nobel Prize in Chemistry.

(If the Criteria are Applied Fairly, and Not Judged Merely on the Basis of the Hamzah Equation Being Non-Anglo-Saxon in Origin).

Nobel Prize in Medicine and Physiology: 10 Proven Scenarios Demonstrating the Merit of the Hamzah Equation (ΩH∗) for Receiving the Nobel Prize in Physiology and Medicine.

(If the Criteria are Applied Fairly, and Not Judged Merely on the Basis of the Hamzah Equation Being Non-Anglo-Saxon in Origin).

Nobel Prize in Economics: 10 Proven Scenarios Demonstrating the Merit of the Hamzah Equation (ΩH∗) for the Nobel Prize in Economics.

(If the Criteria are Applied Fairly, and Not Judged Merely on the Basis of the Hamzah Equation Being Non-Anglo-Saxon in Origin).

(3I/ATLAS)→Prediction of the Composition and Origin of Interstellar Object 3I/ATLAS Using the Hamzah Model.

terministic Quantum Gravity

Conceptual Foundation

Testable Predictions

Scientific Implications

Conclusion

Unified Framework of the Hamzah Equation: From Relativity to Quantum Mechanics

Chapter 1. Mathematical Unification of General Relativity and Quantum Mechanics

Chapter 2. The Quantum Gravity Operator (QGO)

Chapter 3. The Hamzah Certainty Principle vs. Heisenberg’s Uncertainty

Chapter 4. Black Hole Information Modelling

Chapter 5. A New Fundamental Parameter α∗\alpha^{\ast}α∗

Chapter 6. Quantum Simulation of Black Holes on Qubits

Chapter 7. Sub-Planckian Precision in Gravitational Wave Analysis

Chapter 8. Laboratory Detection of Hawking Radiation

Chapter 9. Early Universe Reconstruction from CMB Data

Chapter 10. Numerical Computation of Singularities

Chapter 11. Deviations in High-Energy Particle Spectra

Chapter 12. Laboratory Space–Time Convergence Experiments

Chapter 13. Wavefunction Collapse under Strong Gravity

Chapter 14. Horizon Entropy of Black Holes

Chapter 15. Experimental Testing of the Hamzah Certainty Principle

✅ Overall Synthesis

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