Epigraph

Dirac’s equation:

Presented by Gemini for Zia H Shah MD

Audio teaser: Antimatter and ancient Quranic pairs:

Abstract

This research report provides an exhaustive, interdisciplinary commentary on Surah Ya-Sin (Quran 36:33–40) and Surah Ad-Dhariyat (Quran 51:47–49), evaluating their scientific, philosophical, and theological dimensions. Revealed in seventh-century Arabia—a historical context lacking modern botanical, astronomical, and subatomic science—these passages declare that all created reality is fundamentally structured in pairs (azwaj). Notably, the text explicitly extends this principle to biological phenomena unknown at the time and to unobservable structural layers of the physical cosmos. This commentary correlates the Quranic ontology of universal duality with twentieth-century theoretical physics, focusing on Paul Dirac’s 1928 relativistic wave equation, which unified special relativity with quantum mechanics and mathematically predicted the existence of antimatter. Through an analysis of the Dirac equation—commemorated near Sir Isaac Newton’s tomb in Westminster Abbey—this study illustrates how the electron-positron binary pair demonstrates the Quranic assertion of pairing across fundamental nature. Furthermore, by contextualizing these verses within their broader scriptural narrative of astrophysics, geomorphology, and biology, this paper demonstrates that universal pairing functions as a foundational metaphysical axiom that contrasts created multiplicity with absolute divine unicity (Tawhid).   

The Hermeneutical and Historical Context of Quranic Binary Creation

The concept of structural duality in the Quran is anchored in a precise lexical framework that transcends seventh-century empirical observations. In classical Arabic lexicography, the root term zawj (plural: azwaj) denotes a pair, a spouse, one member of a couple, or a matching category of opposing yet complementary entities. When deployed across scriptural passages, azwaj encompasses both biological male-female dimorphism and broader structural, functional, and physical dualities.   

Evaluating the historical divergence between revealed text and seventh-century human understanding requires examining the specific verses in Surah Ya-Sin (36:33–36) and Surah Ad-Dhariyat (51:47–49).   

Quran 36:33–36

وَآيَةٌ لَّهُمُ الْأَرْضُ الْمَيْتَةُ أَحْيَيْنَاهَا وَأَخْرَجْنَا مِنْهَا حَبًّا فَمِنْهُ يَأْكُلُونَ وَجَعَلْنَا فِيهَا جَنَّاتٍ مِّن نَّخِيلٍ وَأَعْنَابٍ وَفَجَّرْنَا فِيهَا مِنَ الْعُيُونِ لِيَأْكُلُوا مِن ثَمَرِهِ وَمَا عَمِلَتْهُ أَيْدِيهِمْ ۖ أَفَلَا يَشْكُرُونَ سُبْحَانَ الَّذِي خَلَقَ الْأَزْوَاجَ كُلَّهَا مِمَّا تُنبِتُ الْأَرْضُ وَمِنْ أَنفُسِهِمْ وَمِمَّا لَا يَعْلَمُونَ

“And a sign for them is the dead earth. We have brought it to life and brought forth from it grain, and from it they eat. And We placed therein gardens of palm trees and grapevines and caused springs to gush forth within it, that they may eat of its fruit. And their hands did not make it. Will they not then be grateful? Exalted is He who created all pairs—from what the earth grows, and from themselves, and from that which they do not know.”

Quran 51:47–49

وَالسَّمَاءَ بَنَيْنَاهَا بِأَيْدٍ وَإِنَّا لَمُوسِعُونَ وَالْأَرْضَ فَرَشْنَاهَا فَنِعْمَ الْمَاهِدُونَ وَمِن كُلِّ شَيْءٍ خَلَقْنَا زَوْجَيْنِ لَعَلَّكُمْ تَذَكَّرُونَ

“And the heaven We constructed with strength, and indeed, We are [its] expander. And the earth We have spread out, and how excellent should We spread it! And of all things We created two pairs [twain], so that you may reflect and ponder.”

During the seventh century, human understanding of botany was strictly empirical and localized. While ancient agriculturalists recognized sexual dimorphism in a limited number of domesticated plants—most notably the date palm (Phoenix dactylifera), which required manual cross-pollination—they possessed no knowledge of general plant physiology or universal sexual pairing across the plant kingdom. The broader plant world was widely assumed to reproduce spontaneously or through non-sexual mechanisms. The declaration in Quran 36:36 that God created pairs “from what the earth grows” (mimma tunbitu al-ardh) generalizes sexual dimorphism and binary functional structures to all vegetation, a biological reality verified only after the development of microscopic botany in the seventeenth and eighteenth centuries.   

A notable historical marker emphasizing the Prophet Muhammad’s personal lack of specialized botanical expertise is preserved in canonical Islamic tradition regarding date palm pollination (ta’bir al-nakhl) in Medina. Upon arriving in Medina, the Prophet observed local farmers manually pollinating female date palms and questioned whether the labor was necessary. When the farmers refrained from the practice and experienced a diminished yield, the Prophet clarified: “I am only a human being. When I command you regarding something of your religion, receive it; but if I command you regarding something from my personal opinion, then I am only human”. This historical event demonstrates that the Prophet did not claim innate personal expertise in plant biology or agricultural science. Consequently, the expansive Quranic declarations asserting universal pairing across flora, human biology, and unobservable dimensions (wa mimma la ya’lamun) represent a revealed cosmological perspective rather than a reflection of seventh-century agrarian belief.   

The phrase wa mimma la ya’lamun (“and from that which they do not know”) in verse 36:36 acts as an open epistemological statement. It asserts that pairing is not merely an observable trait of macro-biology, but an intrinsic organizational property of nature spanning physical scales that were invisible to seventh-century observers. Similarly, verse 51:49 employs the absolute quantifier kulli shay’in (“of every single thing”), extending the binary principle to the fundamental building blocks of space, time, and matter.   

The Integrated Scientific Milieu of Quran 36:33–40 and 51:47–49

Evaluating these scriptural statements requires examining whether specific verses are isolated statements co-opted retroactively or part of a coherent thematic framework. Surah Ya-Sin (36:33–40) and Surah Ad-Dhariyat (51:47–49) demonstrate that the concept of universal pairing (azwaj) is deeply embedded within a broader discussion of physics, cosmology, geology, hydrology, and biology.   

Passage Range	Primary Scientific/Cosmological Domain	Textual Phenomenon & Mechanism Described	Theological & Metaphysical Correlation
Quran 36:33–35	Geomorphology, Hydrology & Biology	Revitalization of barren soil (al-ardh al-maytah), subterranean aquifers (fajjarna fiha min al-‘uyun), and crop germination.	Divine Rububiyyah (Sustenance) providing physical nourishment for human survival.
Quran 36:36	Botany, Human Biology & Fundamental Physics	Categorical pairing across plant life, human genetics, and unobservable nature (wa mimma la ya’lamun).	Ontological contrast: multi-layered binary creation versus absolute divine unicity.
Quran 36:37–40	Geophysics, Orbital Dynamics & Astronomy	Diurnal transition (naslakhu minhu al-nahar), solar trajectory (tasjri li-mustaqarrin laha), lunar phases (manazil), and orbital revolution (kullun fi falakin yasbahun).	Precision of physical law (takdir al-‘Aziz al-‘Alim) governing celestial motion without orbital collision.
Quran 51:47	Relativistic Astrophysics & Cosmology	Celestial construction (banaynahâ bi-aydin) coupled with continuous cosmic expansion (wa inna la-musi’un).	The dynamic, non-static nature of the universe initiated and sustained by divine power.
Quran 51:48	Planetary Geology & Geomorphology	Preparation of earth’s crust (farashnahâ) as a habitable bed (fa-ni’ma al-mahidun) suited for life.	Ecological design optimizing physical constants for biological survival.
Quran 51:49	Particle Physics & Fundamental Ontology	Universal binary mandate (min kulli shay’in khalaqna zawjayn) governing all fundamental matter and energy.	Universal reflection (la’allakum tadhakkarun) pointing from universal duality to the Creator.

In Surah Ya-Sin, the text transitions systematically from the geological cycle of dead soil revived by water to the botanical production of grains and fruit, then to the systemic pairing of all organisms, and finally to astrophysics. Verse 36:38 mentions the solar trajectory toward its resting point (mustaqarr), governed by the divine measure (takdir) of the Almighty, the All-Knowing. Verses 36:39–40 describe lunar cycles (manazil) returning to a withered stalk (al-‘urjun al-qadim) and formulate a rule of orbital mechanics: the sun cannot overtake the moon, nor can night outpace day, as each floats in its designated celestial path (kullun fi falakin yasbahun).   

In Surah Ad-Dhariyat, verse 51:47 establishes a cosmological backdrop by declaring the continuous expansion of the universe (wa inna la-musi’un), using the active participle musi’un to denote ongoing expansive action. This spatial expansion is immediately juxtaposed with geological stability in 51:48 (farashnahâ) and the universal law of binary creation in 51:49 (min kulli shay’in khalaqna zawjayn).   

The structural juxtaposition of expanding cosmic space with the fundamental pairing of “all things” shows that binary symmetry is presented as a structural principle operating across macro-cosmology and micro-physics alike.   

Mathematical Elegance and Relativistic Quantum Mechanics: The Dirac Equation

To explore how the Quranic principle of pairing applies to fundamental physics, one can examine twentieth-century quantum mechanics. If you visit Westminster Abbey in London and go to Sir Isaac Newton’s tomb, you will see a small plaque in the floor nearby with an equation inscribed on it. The plaque commemorates Paul Dirac, one of the twentieth century’s most brilliant scientists.   

iγμ∂μ​ψ=mψ

Take a look at the equation, and marvel at how simple and compact the formula is, even if the symbols mean nothing to you. This little equation provides an entrée to a wonderland of mathematics and physics, and to a deeper layer of physical reality that you would never suspect existed, even though it is all around us.   

Published in 1929, Dirac’s equation merges the two great triumphs of twentieth-century physics—the theory of relativity and quantum mechanics. It was crafted for the very practical purpose of describing how electrons behave when moving at near the speed of light, as they do, for example, in radioactive emissions or when orbiting heavy atoms like uranium. But the equation is also a work of sublime artistry: these sparse symbols embed novel geometrical structures that lead to an entirely new way of describing space, time, and matter.   

When non-relativistic quantum mechanics was formulated by Erwin Schrödinger, it described the wave function ψ using temporal derivatives of first order and spatial derivatives of second order:   

iℏ∂t∂ψ​=−2mℏ2​∇2ψ+Vψ

Because special relativity requires space and time to be treated symmetrically, Schrödinger’s equation failed for relativistic particles. Initial efforts to unify quantum mechanics with relativity produced the Klein-Gordon equation:   

−c21​∂t2∂2ψ​+∇2ψ=ℏ2m2c2​ψ

While the Klein-Gordon equation preserved spacetime symmetry by employing second-order derivatives for both space and time, it introduced severe theoretical problems: it yielded negative probability densities, which are physically invalid because probability densities must remain strictly positive. Dirac resolved this impasse by seeking an equation linear in both temporal and spatial derivatives. He discovered that linearity required the equation’s coefficients to be four-by-four complex matrices (γμ), acting on a four-component wave function known as a Dirac spinor (ψ).   

When you invent an equation the first thing you try to do is solve it. In the case of the Dirac equation the solutions correspond to various possible states of the electron, for example in orbit around an atom or just moving freely with a certain energy. When Dirac attempted this, he was puzzled by the fact that for every choice of energy there were two solutions to his equation. Only one was needed to describe the electron. What was the other one for? What was this strikingly elegant equation trying to say? Dirac made a wild guess: his equation was telling us (well, him) of the existence of a type of anti-world, in which for every state of an electron there is a corresponding state of an ‘anti-electron’—a particle with the same mass as the electron but with the opposite electric charge (positive instead of negative).   

No such particle was known in 1929. Yet Dirac was right. In 1932, anti-electrons (usually referred to as positrons) were discovered by the American physicist Carl Anderson. Dirac was awarded a Nobel prize the following year. Soon after the discovery of the positron it became clear that other anti-particles must exist: anti-protons, anti-neutrons, anti-neutrinos, etc. Today, the anti-particles of all known particles of matter have been discovered and, in some cases, harvested and used in experiments. Collectively, these anti-particles are called antimatter.   

Quantum Pair Creation, the Standard Model, and Cosmic Providence

In his commentary on quantum pairing, Dr. Zia H. Shah highlights how Dirac’s discovery provides an empirical realization of the Quranic declaration in verses 36:36 and 51:49. Shah observes that Dirac, who possessed no interest in religious theology, unintentionally served as an instrument in demonstrating that matter exists in binary pairs at the quantum level.   

In modern quantum field theory, matter and antimatter are produced through pair creation, wherein pure energy transforms directly into a particle-antiparticle pair, such as two high-energy photons producing an electron and a positron (γ+γ→e−+e+). Conversely, when a particle encounters its antiparticle complement, they undergo pair annihilation, collapsing back into pure photon energy (e−+e+→γ+γ).   

This fundamental duality structures the Standard Model of particle physics. All fundamental matter particles (fermions) are organized into paired particle-antiparticle structures defined by identical rest masses and spins, but equal and opposite quantum numbers such as electric charge, color charge, and weak isospin.   

Particle Family	Matter Particle Symbol & Charge	Antiparticle Symbol & Charge	Mass Equivalent (MeV/c2)	Spin (ℏ)
Leptons (1st Gen)	Electron (e−): −1	Positron (e+): +1	0.511	1/2
Leptons (1st Gen)	Electron Neutrino (νe​): 0	Electron Antineutrino (νˉe​): 0	<0.000001	1/2
Leptons (2nd Gen)	Muon (μ−): −1	Antimuon (μ+): +1	105.66	1/2
Leptons (2nd Gen)	Muon Neutrino (νμ​): 0	Muon Antineutrino (νˉμ​): 0	<0.17	1/2
Leptons (3rd Gen)	Tau (τ−): −1	Antitau (τ+): +1	1776.86	1/2
Leptons (3rd Gen)	Tau Neutrino (ντ​): 0	Tau Antineutrino (νˉτ​): 0	<18.2	1/2
Quarks (1st Gen)	Up Quark (u): +2/3	Up Antiquark (uˉ): −2/3	≈2.16	1/2
Quarks (1st Gen)	Down Quark (d): −1/3	Down Antiquark (dˉ): +1/3	≈4.67	1/2
Quarks (2nd Gen)	Charm Quark (c): +2/3	Charm Antiquark (cˉ): −2/3	≈1270	1/2
Quarks (2nd Gen)	Strange Quark (s): −1/3	Strange Antiquark (sˉ): +1/3	≈93.5	1/2
Quarks (3rd Gen)	Top Quark (t): +2/3	Top Antiquark (tˉ): −2/3	≈172690	1/2
Quarks (3rd Gen)	Bottom Quark (b): −1/3	Bottom Antiquark (bˉ): +1/3	≈4180	1/2

Beyond subatomic physics, pairing appears throughout fundamental forces. Electromagnetism operates through positive and negative charge configurations; quantum chromodynamics relies on color and anticolor charges; and thermodynamics is governed by entropic and enthalpic balances. As Shah notes, when the Quran declared that God created “pairs of all things” (min kulli shay’in khalaqna zawjayn), it formulated an architectural rule governing nature across macro-biological organisms and quantum fields alike.   

From a theological perspective, pervasive duality (zawjiya) serves a central purpose in Quranic metaphysics: establishing a contrast between created reality and the Creator. In Islamic theology, the central conceptual pillar is Tawhid—the absolute unicity of God. God is defined as Al-Ahad (The One) and Al-Wahid (The Unique), completely free from division, duality, or reliance on a complementary partner. Created reality, by contrast, is characterized by contingency, dependence, and binary pairing. By embedding duality into every layer of nature—from male and female biological organisms to positive and negative subatomic charges—creation demonstrates its contingent nature. Duality indicates that no created entity is self-sufficient; each relies on its complement to achieve balance or existence.   

This theological structure explains why verse 51:49 concludes with la’allakum tadhakkarun (“so that you may reflect and ponder”). Observing pairs across botany, astrophysics, and particle physics acts as an intellectual signpost (ayah). The physical symmetry of the electron-positron pair, governed by the Dirac equation, illustrates that the universe operates under systematic physical laws (qadr) established by a single Creator.   

This connection between physical symmetry and divine governance is also reflected in Surah Al-Lail (Quran 92:1–5), where the text links binary creation with human moral choices:

وَاللَّيْلِ إِذَا يَغْشَىٰ وَالنَّهَارِ إِذَا تَجَلَّىٰ وَمَا خَلَقَ الذَّكَرَ وَالْأُنثَىٰ إِنَّ سَعْيَكُمْ لَشَتَّىٰ

“By the night when it covers, and by the day when it shines, and by His creation of the male and the female: indeed, your efforts are diverse.”

Here, the scriptural narrative aligns physical dualities—night and day, male and female—with the moral paths available to human free will. Just as physical particles operate within structured symmetries, human beings navigate moral choices, choosing between generosity and self-sufficiency, truth and denial. The physical order established by divine providence (rububiyyah) provides a foundational framework, encouraging individuals to align their moral conduct with divine guidance.   

Thematic Epilogue

The convergence of Quranic revelation and relativistic quantum mechanics illustrates the harmony between scriptural ontology and physical discovery. Revealed in seventh-century Arabia, the Quranic passages in Surah Ya-Sin and Surah Ad-Dhariyat articulated a universal principle of binary creation that extended far beyond the biological knowledge of the era. The text declared that pairing was an all-encompassing principle operating across flora, human biology, cosmic structures, and unobserved dimensions of nature (wa mimma la ya’lamun).   

Thirteen centuries later, Paul Dirac formulated his relativistic wave equation, unifying special relativity with quantum mechanics. The dual energy solutions to his equation revealed the existence of antimatter, predicting the positron and establishing that fundamental particles exist in physical pairs.   

This alignment between scriptural declaration and scientific discovery shows that faith and reason, scripture and physical law, provide complementary perspectives on reality. The presence of structural pairing across macro-cosmology and subatomic physics is not an accidental feature of nature, but evidence of a coherent physical order. Universal duality serves as an ongoing signpost (ayah): every paired particle, expanding space, and biological organism points beyond itself to the singular Source of all reality.