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Home OPINION

Mathematics in Ramadan:  From Crescent Disputes to Calendar Certainty

Dr. Reyaz Ahmad by Dr. Reyaz Ahmad
February 21, 2026
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Every year, as the last days of Sha‘ban approach, a familiar question ripples across Muslim communities—from local masjids to national committees, from families planning iftar gatherings to airlines preparing travel surges:

When does Ramadan begin?

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For many Muslims, the answer is tied to a beloved Prophetic practice: “Fast when you see it (the moon) and end the fast when you see it.” Yet modern life adds pressure to what earlier generations did not face: school calendars, national holidays, payroll cycles, travel bookings, and a global Muslim population living across time zones and hemispheres.

The attached text makes a clear argument: the common claim that there is a binding juristic consensus (ijmāʿ) prohibiting astronomical calculation for confirming or negating Ramadan is not accurate. Instead, what we often witness is a historical majority practice shaped by the technological limitations and religious concerns of earlier eras—concerns that may not apply in the same way today.

This is where mathematics enters Ramadan—not as a cold replacement for faith, but as a tool for certainty, unity, and the preservation of communal welfare.

Why the “No-Calculation” Position Became Dominant

Historically, the majority of jurists (the jumhūr) favored naked-eye crescent sighting. The attached text explains why: calculations in earlier centuries were often uncertain, and jurists worried about the broader consequences in matters of faith (ʿaqīdah) and public trust. If “experts” produced conflicting computations—or if ordinary believers felt religious practice had been handed over to elites—social cohesion could fracture.

So the dominant approach was not merely “anti-math.” It was, in large part, risk management: protect religious unity and certainty with the most publicly accessible method available at the time.

The Overlooked Fact: Significant Scholars Supported Calculation

A central point in your text is that, from early times, well-known authorities in three Sunni legal schools (with the exception of the Hanbalis) argued for accepting calculations—partially or fully.

That matters because it reframes the debate. The question is not, “Is calculation an innovation?” but rather:

“Which method best fulfills the Prophetic objective today—certainty about sacred time—given the tools we now possess?”

What Modern Astronomy Actually Calculates

Modern lunar astronomy is not guesswork. It is precision physics, grounded in mathematics.

Using celestial mechanics, scientists can compute:

  • The birth of the new moon (the lunar conjunction)
  • Moonset and sunset times for any location
  • The moon’s altitude above the horizon
  • Elongation (angular separation from the sun)
  • Illumination percentage
  • Lag time (how long the moon stays above the horizon after sunset)

These factors determine not only whether the moon exists (it always does) but whether it is physically possible to see it—by naked eye, binoculars, or telescope.

The attached text goes further and asserts that today’s science can reach a level of certainty such that determining the moon’s birth, presence, and absence on the horizon months (even years) in advance is not difficult, and that this method is more trustworthy than naked-eye sighting, which can be affected by clouds, pollution, humidity, optical illusions, and human error.

In short: math does not “replace” sighting; it explains what sighting can and cannot accomplish.

The Core Juristic Pivot: “Sighting” or “Certainty”?

One of the most consequential ideas in the text is this:

The new moon is a sign of sacred timing. The key objective is certainty about Ramadan and fasting—not the physical act of sighting itself.

That statement shifts the conversation from means to maqāṣid (objectives). If the Shari‘ah aims to secure clarity, prevent dispute, and protect communal welfare, then a highly reliable method that reduces confusion may be closer to the spirit of the law—even if the historical method was different.

This is why the document argues that disputes over visibility criteria can become “fruitless”: even Muslim astronomers do not fully agree on a single visibility threshold. But the birth of the new moon is a mathematically precise event. It is the most unambiguous “starting point” nature provides.

A Growing Scholarly Trend Toward Calculation

The text notes that the number of scholars inclining toward partial or total acceptance of calculation is increasing, largely due to:

  • The certainty of modern calculations
  • The ease of applying them at scale
  • The communal, financial, and social benefits—benefits that align with Shari‘ah objectives

It even highlights that some very conservative modern Salafi/Hanbali-leaning figures—such as Mahmud Shakir—accepted this view, and that scholars like Rashid Rida advocated calculation as the most authentic lawful method available in the modern context (the text notes Shakir’s position since 1939).

Whether one agrees with these scholars or not, their presence in the conversation makes one conclusion unavoidable:

This is not a fringe discussion. It is an evolving juristic conversation responding to scientific certainty and public need.

The Proposal: A Global Calendar Anchored to Makkah

One of the document’s boldest recommendations concerns time conventions.

It argues that Greenwich Mean Time (GMT) is an arbitrary international convention with no intrinsic Islamic value, whereas Makkah has unique religious significance as the sanctuary and direction of prayer for Muslims worldwide.

Thus, it proposes a practical rule:

A new Islamic month begins when the new moon is born before sunset in Makkah and remains above the horizon after sunset—however briefly.

The anticipated benefit is global coordination: the Muslim world would enter the month within 24 hours of the moon’s birth in Makkah, reducing the annual fragmentation where neighboring countries (or even neighboring cities) begin Ramadan on different days.

This approach also reflects what some fiqh councils have attempted in the West, such as the Fiqh Council of North America and bodies in Europe (often through umbrella councils like the European Council for Fatwa and Research)—seeking calendar predictability for minority Muslim contexts in North America, where civic scheduling pressures are intense.

What Mathematics Offers Ramadan in Real Life

When Ramadan’s start is uncertain, the consequences are not abstract:

  • Employers struggle to schedule shifts and holidays
  • Schools and universities cannot plan assessments and attendance policies
  • Families cannot plan travel and gatherings confidently
  • Communities divide, sometimes harshly, over “who is correct”

Mathematics offers a different ethos: predictability without panic.

A pre-announced calendar, grounded in reliable astronomical computation, allows communities to plan worship, work, and social life with stability—while still honouring the sacredness of lunar timekeeping.

A Balanced Closing: Not a Fight Between Faith and Science

The best framing is not “math vs Sunnah.” It is:

Which method best realizes the Sunnah’s purpose—certainty, authenticity, and unity—in our era?

The attached text argues that accepting calculations to both confirm and negate Ramadan not only aligns with the true essence of the Sunnah, but may be the most viable path toward the Shari‘ah’s aims of certainty and unity in a globally connected world.

Whether communities adopt full calculation, partial calculation, or refined sighting protocols supported by astronomy, one lesson is clear:

Ramadan is not only a month of fasting—it is also a month that quietly showcases how deeply Islam engages with time, measurement, and the mathematics written into the sky.

The writer is a member of Faculty of Mathematics, Department of General Education SUC, Sharjah, UAE. Email: reyaz56@gmail.com

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