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

Conceptual and Historical Introduction
1. The Enduring Crisis in Fundamental Physics
Since the dawn of the twentieth century, four fundamental constants of physics – Planck’s constant hhh, the speed of light ccc, Newton’s gravitational constant GGG, and the fine-structure constant α\alphaα – have been accepted as axiomatic givens. Their values were established purely through experiment, without any theoretical derivation or explanatory origin. This has given rise to the notorious Fine-Tuning Problem: if the slightest deviation were introduced into any of these constants, the Universe as we know it – with stars, chemistry, biological life, and consciousness – would never have emerged.

The dilemma has preoccupied generations of scientists. Why is it so? Why has nature “chosen” precisely these values? Are they random accidents, or do they arise from a deeper, universal principle?

2. A New Framework: The Universal Integral (QIS₀)
Our response to this profound puzzle begins with the introduction of the Universal Integral (QIS₀). Defined over the entirety of the space–time–information domain Ω\OmegaΩ, it is expressed as:

QIS0=∫Ω(E+I−S) dμQIS₀ = \int_{\Omega} (E + I - S)\, d\muQIS0=∫Ω(E+I−S)dμ

where:

EEE: Energy,

III: Information,

SSS: Entropy,

dμd\mudμ: the measure over the global space–time–information manifold.

The essential insight is that QIS₀ functions as a cosmic source code. All fundamental constants are, in fact, fractional–fractal derivatives of this integral:

Constant=Dα⋆QIS0\text{Constant} = D^{\alpha^\star} QIS₀Constant=Dα⋆QIS0

In other words, each constant is generated by applying a fractional derivative of order α⋆\alpha^\starα⋆ to QIS₀. These parameters α⋆\alpha^\starα⋆ are calculated for different constants and ultimately converge to a unique, universal optimum value αuniverse\alpha_{\text{universe}}αuniverse.

3. Foundational Tests (1–10)
To examine this idea, ten primary questions were posed and resolved:

Origin of α\alphaα: The celebrated 1/1371/1371/137 arises from a fractal convergence.

Dual nature of gravitation: Gravity is not fundamental but emergent from informational flows across the network.

Matter–antimatter asymmetry: Caused by fractional-symmetry breaking in derivative structures.

Fractal dimensionality of the Universe: At small scales, D≠4D \neq 4D=4; at macroscopic scales, D→4D \to 4D→4.

Nature of dark energy: An emergent repulsive force generated by network energy.

Nature of black holes: Singularities of information, loci of infinite complexity.