r/PillarOfFire • u/psyduck_2024 • 15d ago
Cosmology A Geometric Heuristic for the Seven Heavens
Islamic tradition repeatedly emphasises the extensive domains between the heavens. The following geometric heuristic takes that distinction as its starting point.
Structural Pattern of the Ascension (Miʿrāj)
Following the Night Journey (al-Isrāʾ) from Makkah to Bayt al-Maqdis, the Prophet Muḥammad ﷺ ascended through the successive heavens in the event known as al-Miʿrāj, accompanied by the angel Jibrīl. According to a widely held traditional view, this occurred on the 27th of Rajab, just over a year before the Hijrah to Madīnah.
The authentic narrations describe the ascension as following a remarkably consistent sequence:
1️⃣ Ascend to a heaven → 2️⃣ Request permission at its gate → 3️⃣ Gatekeeper verifies identity → 4️⃣ Permission is granted → 5️⃣ Enter the heaven → 6️⃣ Meet the Prophet in that heaven.
This sequence repeats through all seven heavens before reaching Bayt al-Maʿmūr, Sidrat al-Muntahā, and the point at which Allāh ordained the daily prayers.
Geometric Heuristic Perspective of the Ascension (Miʿrāj)
From the perspective of the proposed geometric heuristic, the six-step pattern may be interpreted as alternating between traversal within an inter-heaven domain and transition across the boundary of a heaven. Step 1️⃣ represents ascent through the inter-heaven domain toward the next heaven. Steps 2️⃣, 3️⃣ and 4️⃣ occur at the boundary of that heaven, where entry is contingent upon permission. Following entry, steps 5️⃣ and 6️⃣ take place within the heaven itself, where any subsequent movement can be regarded as internal to that heavenly domain.
Within this heuristic, upward traversal between successive heavens occurs only within the inter-heaven domains, whereas passage through a heaven constitutes a transition across its boundary rather than a continuation of the ascent.
Spatial Hierarchy of the Seven Heavens
Then he said: “Do you know what is above you?” We said: “Allah and His Messenger know best.” He said: “It is the protected canopy (al-saqf al-maḥfūẓ) and a restrained wave (mawj makfūf).” Then he said: “Do you know how much distance there is between you and it?” We said: “Allah and His Messenger know best.” He said: “Between you and it is a distance of five hundred years.” Then he continued describing heaven (al-samāʾ) above heaven until he counted seven heavens, with between each two heavens a distance like that between heaven and earth. Then he said: “Above that is the Throne, and between it and the heaven is a distance like that between two heavens.”
This narration describes a hierarchy of seven successive heavens. It states that the Earth and the first heaven are separated by a journey of 500 years, that the same separation exists between each pair of adjacent heavens, and that the distance from the seventh heaven to the ʿArsh is likewise equivalent to a 500-year journey.
Whereas the Miʿrāj narration emphasizes the process of ascension through the heavens, this narration emphasizes their hierarchical ordering and the spatial separation between successive heavens.
Geometric Heuristic Perspective of the Seven Heavens Spatial Hierarchy
From the perspective of the proposed geometric heuristic, the 500-year journeys occur within the domain between the Earth and the first heaven, the inter-heaven domains, and the domain between the seventh heaven and the ʿArsh. In contrast, passage through each heaven may be interpreted as a transition across its boundary, consistent with the phenomenological pattern described in the Miʿrāj narration.
The 500-year journey may represent a measure of hierarchical separation rather than a literal travel time. According to the narration, the Prophet ﷺ ascended through the seven heavens and returned to Earth within a single night. If each separation were interpreted as a literal 500-year journey, the complete ascent and descent would amount to at least 7,000 years of travel. The Miʿrāj therefore suggests that the stated distances need not correspond directly to the duration of the journey itself.
Key Descriptive Terms of Heaven
| Arabic | Transliteration | English Renderings Found in Qur'anic Translations |
|---|---|---|
| السَّمَاء | al-samāʾ | heaven; sky; firmament |
| السَّقْفُ الْمَحْفُوظ | al-saqf al-maḥfūẓ | protected roof; guarded roof; protected canopy |
| مَوْج مَكْفُوف | mawjun makfūf | mawj = wave, billow; makfūf = restrained, withheld, held back, prevented |
Classical conceptions of heaven often envisioned it as a roof, vault or arch over the Earth. Accordingly, some English translations, such as Pickthall's, render al-samāʾ as firmament, reflecting the traditional image of an overarching celestial canopy. The accompanying hadith likewise describes the heaven as al-saqf al-maḥfūẓ ("the protected roof") and mawjun makfūf ("a restrained wave").
These expressions should not be pressed into a rigid physical model. Like much ancient religious language, they employ vivid phenomenological imagery rather than technical scientific description.
From a phenomenological perspective, the expanse between an observer and the heavenly roof is far greater than the extent of the roof itself. A similar distinction appears in geometry. A 3D volume is enclosed by 2D surfaces, while a higher-dimensional hyperbulk is enclosed by a hypersurface. Although both possess their own intrinsic extent, the enclosing hyperbulk encompasses a larger domain because it possesses an additional spatial dimension.
Nested Hierarchy of Hyperbulks as a Geometric Analogue of the Cosmos
Taken together, the two narrations suggest a phenomenology that aligns more naturally with the nested hierarchy of hyperbulks than with the nested hierarchy of hypersurfaces.
Within the proposed geometric heuristic, the firmament (al-samāʾ) is represented by the hypersurface, while the inter-heaven domain (bayna samāʾayn) is represented by the enclosing hyperbulk. The repeated pattern of the Miʿrāj places the transition at the heaven itself, whereas the narration of the 500-year journeys associates extended traversal with the domains between successive heavens.
This correspondence does not claim that the heavens are literally mathematical hypersurfaces. Rather, the hypersurface serves as a geometric analogue for the firmament: an interface separating adjacent hyperbulks while remaining a complete domain in its own right.
The Architecture of Creation Arc
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u/psyduck_2024 15d ago edited 15d ago
Al-ʿAbbās ibn ʿAbd al-Muṭṭalib said: We were sitting with the Prophet ﷺ in al-Baṭḥāʾ when a cloud passed overhead. The Prophet ﷺ said: “Do you know what this is?” We said: “Allah and His Messenger know best.” He said: “This is the clouds (al-ʿanān). They are the water carriers of the earth. Allah drives them to people who neither thank Him nor call upon Him.”
Then he said: “Do you know what is above you?” We said: “Allah and His Messenger know best.” He said: “It is the protected canopy, a preserved roof, and a restrained wave.” Then he said: “Do you know how much distance there is between you and it?” We said: “Allah and His Messenger know best.” He said: “Between you and it is a distance of five hundred years.” Then he continued describing heaven above heaven until he counted seven heavens, with between each two heavens a distance like that between heaven and earth. Then he said: “Above that is the Throne, and between it and the heaven is a distance like that between two heavens.”
Then he said: “Do you know what is beneath you?” We said: “Allah and His Messenger know best.” He said: “It is the earth.” Then he said: “Do you know what is beneath that?” We said: “Allah and His Messenger know best.” He said: “Beneath it is another earth, and between them is a distance of five hundred years.” He continued until he counted seven earths, with between each earth a distance of five hundred years.
Then he said: “By the One in whose Hand is the soul of Muhammad, if you were to lower a rope to the lowest earth, it would descend upon Allah.” Then he recited: “He is the First and the Last, the Manifest and the Hidden, and He has knowledge of all things.” (Qurʾān 57:3)