Acts 10:11

καὶ θεωρεῖ τὸν οὐρανὸν ἀνεῳγμένον, καὶ καταβαῖνον ἐπ᾽ αὐτὸν σκεῦός τι ὡς ὀθόνην μεγάλην, τέσσαρσιν ἀρχαῖς δεδεμένον, καὶ καθιέμενον ἐπὶ τῆς γῆς·

RBT Greek Interlinear:

Strongs 2532; kai; καὶ; and; Conj

Strongs 2334; theōrei; θεωρεῖ; is looking attentively; V-PIA-3S

Strongs 3588; ton; τὸν; the; Art-AMS

Strongs 3772; ouranon; οὐρανὸν; a heaven; N-AMS

Strongs 455; aneōgmenon; ἀνεῳγμένον; he who has been opened; V-RPM/P-AMS

Strongs 2532; kai; καὶ; and; Conj

Strongs 2597; katabainon; καταβαῖνον; that which is climbing down; V-PPA-ANS

Strongs 4632; skeuos; σκεῦός; a vessel; N-ANS

Strongs 5100; ti; τι; what/certain; IPro-ANS

Strongs 5613; hōs; ὡς; as; Adv

Strongs 3607; othonēn; ὀθόνην; a sheet; N-AFS

Strongs 3173; megalēn; μεγάλην; mega; Adj-AFS

Strongs 5064; tessarsin; τέσσαρσιν; four; Adj-DFP

Strongs 746; archais; ἀρχαῖς; to rulers; N-DFP

Strongs 2524; kathiemenon; καθιέμενον; that which is being sent down; V-PPM/P-ANS

Strongs 1909; epi; ἐπὶ; upon; Prep

Strongs 3588; tēs; τῆς; the; Art-GFS

Strongs 1093; gēs; γῆς; earth; N-GFS

RBT Translation:

Four Gospels and The Head Cloth

And he is staring attentively at the Heavenly One, he who has been opened up, and at a certain vessel⁴⁸ which is climbing down, a mega fine linen, by four origins,⁴⁹ as that which is being sent down upon the Earth,

τέσσαρσιν ἀρχαῖς four origins

Her origins are from the "ends" or "extremities." The outer edge or causal extremity, rather than the middle (i.e. outward in).

As four: temporal extremity, spatial extremity, causal/principle extremity, and sovereignty/authority extremity. (cf. ἀρχαῖς)

Julia Smith Literal 1876 Translation:
And he sees heaven opened, and a certain vessel descending upon him, as a great linen napkin fastened at the four beginnings, and laid down upon the earth:

LITV Translation:
And he saw the heaven being opened and a certain vessel like a great sheet coming down on him, being bound by four corners, and let down onto the earth;

Footnotes

48

See LSJ II. τὸ σ. the body, as the vessel of the soul, a metaph. clearly expressed in 2 Ep.Cor. 4.7, ἔχομεν δὲ τὸν θησαυρὸν τοῦτον ἐν ὀστρακίνοις σκεύεσιν, cf. 1 Ep.Thess. 4.4, 1 Ep.Pet. 3.7.

49

Lexical Scope of ἀρχή

From LSJ and early usage, ἀρχή had four primary meanings:

• Beginning / Origin (temporal or causal starting point).
• Principle / Element (philosophical, metaphysical foundation).
• Corner / Edge (physical extremity of a bandage, rope, sheet; cf. Hdt. 4.60).
• Sovereignty / Power / Authority (political or cosmic rule).

Thus ἀρχή already lives at the edge between time, space, matter, and rule.

Fourfold Extremities in a Möbius Model

If we imagine a Möbius strip divided into four quadrants (like “quarters” of the ribbon’s traversal), then ἀρχή would function at each “turn” as a different boundary-condition:

1. Temporal extremity — the “beginning/origin” of a narrative or cycle. (Gen 1:1: ἐν ἀρχῇ)
2. Spatial extremity — a corner, edge, or limit of extension (Acts 10:11: “the four ἀρχαί of the mega fine linen”).
3. Causal extremity — principle or source of action (Aristotle, Metaph. 983b: ἀρχή as first principle).
4. Political / Ontological extremity — sovereignty, dominion, or cosmic authority (Eph 6:12: αἱ ἀρχαί as powers).

Thus, four ἀρχαί = the four modes in which a “beginning” marks a limit, each quarter of the Möbius is not linear but a turn of orientation.

In Hebrew תוֹר (tor), from the root תור, denotes a turn, an order in sequence, or a rotation. It is used, for instance, in contexts of taking one’s turn (as in waiting in line or for succession). This is also the root of Torah (feminine). This is also the word used for "Esther's Turn"

This is significant in relation to a Möbius model:

• A tor is not merely a point, but a cyclical allotment — the moment when one’s place arrives in the cycle.
• Unlike ראשית / ἀρχή, which speaks of an origin/beginning, tor is about the iteration of turns within the ordered cycle.
• In biblical Hebrew it also shades into succession, prescribed order, duty (e.g. in priestly or cultic service, or Esther's turn).

Why Four?

• Biblical resonance: four rivers from Eden (Gen 2:10), four corners of the earth (Isa 11:12), four winds (Dan 7:2; Rev 7:1). Each is a way of encoding a totality through extremities.
• Philosophical resonance: Empedocles’ four roots (earth, air, fire, water); Aristotle’s four causes (material, formal, efficient, final).
• Linguistic resonance: ἀρχή naturally attaches both to origins and to extremities (“corners”), suggesting it can “fold” into spatial quadrants.

So the four ἀρχαί might encode the complete set of orientations — temporal, spatial, causal, sovereign.

Aonic Usage

On a Möbius strip, the traveler encounters each ἀρχή not as a discrete “first” but as a recursive turning-point where the surface flips. Thus:

• The temporal beginning loops back in the eschatological end (ἀρχή ↔ τέλος, cf. Rev 22:13).
• The corner/edge folds into the principle: the extremity reveals the foundation.
• The principle folds into sovereignty: what originates also rules.
• The sovereignty folds into temporal beginning again: the reign of God inaugurates the cycle anew.

This Möbius loop of ἀρχή explains why NT authors can use the same term for “Within the origin/head/beginning” (Jn 1:1), “first principles” (Heb 5:12), “rulers and authorities” (Col 1:16), and even “origins/edges” (Acts 10:11 LXX-echo).

Interpretive Implication

If Hebrew narrative provides the recursive structure (aspect, non-chronological), Greek ἀρχή supplies a nodal word where time, space, causality, and sovereignty meet. In Aonic perspective, the four ἀρχαί are not different domains but different orientations of one continuous surface.

Thus, “ἀρχή” is less “beginning” and more fold: each time the story turns, one meets an ἀρχή — which is also an extremity, also a sovereignty, also a principle.

Food for thought:

If we think Möbius-like, God becomes a paradox:

• Temporal ἀρχή = God as the First and the End (Ἐγώ εἰμι τὸ ἄλφα καὶ τὸ ὦ).
• Spatial ἀρχή = God as the encompassing limit, boundary but also horizon.
• Causal ἀρχή = God as the source-principle (ὁ ἀρχὴν ἔχων ἐν ἑαυτῷ).
• Sovereign ἀρχή = God as the ordering head, ruler, archon of all archai.

The NT authors consistently keep the discourse within ἀρχή. They never resolve it into the “philosophical absolute” of ἀνάρχος (without beginning), thus ἄναρχος (without chief, without beginning) is never used in the NT. This means:

1. John 1:1 — “ἐν ἀρχῇ ἦν ὁ λόγος” → not “outside beginning,” but “within beginning.” John deliberately sets the Logos in relation to ἀρχή rather than beyond it.

2. Colossians 1:18 — Christ is “ἡ ἀρχή, πρωτότοκος ἐκ τῶν νεκρῶν” → Christ is named as the beginning, not as “the one without beginning.”

3. Revelation 21:6; 22:13 — “Ἐγώ εἰμι τὸ Ἄλφα καὶ τὸ Ὦ, ἡ ἀρχὴ καὶ τὸ τέλος” → God/Christ explicitly claims both origin and end, but never the “un-originated” category.

A Möbius band has one continuous surface, yet if you trace along it, you encounter orientation shifts (inside/outside inversion). If you quarter it (divide into four extremities or perspectives), you obtain four “faces” of one undivided thing.

This matches the ancient sense of ἀρχή as having multiple orientations:

• Temporal: beginning of time.
• Spatial: edge, boundary, extremity.
• Causal: first principle, source of action.
• Sovereign: rule, power, dominion.

If ἀρχή involves a Möbius-like surface that can be experienced in four orientations, then to be “quartered” (διαιρέω, διαμερίζω; or in Hebrew, perhaps פָּצָה, חָלַק, פָּרַד — to divide, portion, separate) would mean something quite radical:

• A whole person would translate to one continuous surface. As long as the person’s temporal, spatial, causal, and sovereign orientations are in continuity, the body is one being (integrated self) or an eternal aion self.
• A division into four would not mean four “parts,” but rather a rupture of the unity of orientation.
• To be “quartered” would mean to have the four extremities/origins no longer folded together but pulled apart:
  • Temporal quartering → life loses its flow, past/future no longer connect; the person feels torn between regret and fear.
  • Spatial quartering → the body is disjointed, no longer oriented in place (exile, scattering, dismemberment).
  • Causal quartering → actions no longer arise from a coherent self; one says and does contradictory things, agency fractures (e.g. "I don't do things I want to do...I do what I don't want to do...")
  • Sovereign quartering → no inner rule or center remains; the heart is divided, allegiance is split.

This is both anthropological and eschatological:

• A quartered person is fragmented in being.
• A quartered city/nation is dispersed, scattered to "the four winds."
• A quartered cosmos is chaos, no longer one continuous creation but torn into extremities.

In Hebrew prophecy a scattering “to the four winds” (זְרוֹת לְאַרְבַּע רוּחוֹת) is divine judgment — the body politic—the People of God— is completely dismembered. In Greco-Roman imagery quartering a person was the ultimate destruction of bodily unity. In apocalyptic vision the “four beasts” (Dan. 7) or “four horsemen” (Rev. 6) point symbolically to a quartered world in which the continuous order has collapsed into extremities of chaos. To be “quartered” as a person would mean losing recursion (Möbius continuity), that is, the eternal aion life. Instead of one surface folding through four orientations, you are locked into separate compartments where your body is here, but your heart is elsewhere, your agency is in conflict, and your time is all but fractured. Such a person is alive but dis-integrated. You are no longer whole, but quartered—a dead one while yet living.

On the other hand, when the four orientations are harmonized (not quartered), the person becomes a living temple — four faces, one being (consider Ezekiel’s four living creatures, each facing outward yet united in one movement of the Spirit).

---

49

Lexical Scope of ἀρχή

From LSJ and early usage, ἀρχή had four primary meanings:

• Beginning / Origin (temporal or causal starting point).
• Principle / Element (philosophical, metaphysical foundation).
• Corner / Edge (physical extremity of a bandage, rope, sheet; cf. Hdt. 4.60).
• Sovereignty / Power / Authority (political or cosmic rule).

Thus ἀρχή already lives at the edge between time, space, matter, and rule.

Fourfold Extremities in a Möbius Model

If we imagine a Möbius strip divided into four quadrants (like “quarters” of the ribbon’s traversal), then ἀρχή would function at each “turn” as a different boundary-condition:

1. Temporal extremity — the “beginning/origin” of a narrative or cycle. (Gen 1:1: ἐν ἀρχῇ)
2. Spatial extremity — a corner, edge, or limit of extension (Acts 10:11: “the four ἀρχαί of the mega fine linen”).
3. Causal extremity — principle or source of action (Aristotle, Metaph. 983b: ἀρχή as first principle).
4. Political / Ontological extremity — sovereignty, dominion, or cosmic authority (Eph 6:12: αἱ ἀρχαί as powers).

Thus, four ἀρχαί = the four modes in which a “beginning” marks a limit, each quarter of the Möbius is not linear but a turn of orientation.

In Hebrew תוֹר (tor), from the root תור, denotes a turn, an order in sequence, or a rotation. It is used, for instance, in contexts of taking one’s turn (as in waiting in line or for succession). This is also the root of Torah (feminine). This is also the word used for "Esther's Turn"

This is significant in relation to a Möbius model:

• A tor is not merely a point, but a cyclical allotment — the moment when one’s place arrives in the cycle.
• Unlike ראשית / ἀρχή, which speaks of an origin/beginning, tor is about the iteration of turns within the ordered cycle.
• In biblical Hebrew it also shades into succession, prescribed order, duty (e.g. in priestly or cultic service, or Esther's turn).

Why Four?

• Biblical resonance: four rivers from Eden (Gen 2:10), four corners of the earth (Isa 11:12), four winds (Dan 7:2; Rev 7:1). Each is a way of encoding a totality through extremities.
• Philosophical resonance: Empedocles’ four roots (earth, air, fire, water); Aristotle’s four causes (material, formal, efficient, final).
• Linguistic resonance: ἀρχή naturally attaches both to origins and to extremities (“corners”), suggesting it can “fold” into spatial quadrants.

So the four ἀρχαί might encode the complete set of orientations — temporal, spatial, causal, sovereign.

Aonic Usage

On a Möbius strip, the traveler encounters each ἀρχή not as a discrete “first” but as a recursive turning-point where the surface flips. Thus:

• The temporal beginning loops back in the eschatological end (ἀρχή ↔ τέλος, cf. Rev 22:13).
• The corner/edge folds into the principle: the extremity reveals the foundation.
• The principle folds into sovereignty: what originates also rules.
• The sovereignty folds into temporal beginning again: the reign of God inaugurates the cycle anew.

This Möbius loop of ἀρχή explains why NT authors can use the same term for “Within the origin/head/beginning” (Jn 1:1), “first principles” (Heb 5:12), “rulers and authorities” (Col 1:16), and even “origins/edges” (Acts 10:11 LXX-echo).

Interpretive Implication

If Hebrew narrative provides the recursive structure (aspect, non-chronological), Greek ἀρχή supplies a nodal word where time, space, causality, and sovereignty meet. In Aonic perspective, the four ἀρχαί are not different domains but different orientations of one continuous surface.

Thus, “ἀρχή” is less “beginning” and more fold: each time the story turns, one meets an ἀρχή — which is also an extremity, also a sovereignty, also a principle.

Food for thought:

If we think Möbius-like, God becomes a paradox:

• Temporal ἀρχή = God as the First and the End (Ἐγώ εἰμι τὸ ἄλφα καὶ τὸ ὦ).
• Spatial ἀρχή = God as the encompassing limit, boundary but also horizon.
• Causal ἀρχή = God as the source-principle (ὁ ἀρχὴν ἔχων ἐν ἑαυτῷ).
• Sovereign ἀρχή = God as the ordering head, ruler, archon of all archai.

The NT authors consistently keep the discourse within ἀρχή. They never resolve it into the “philosophical absolute” of ἀνάρχος (without beginning), thus ἄναρχος (without chief, without beginning) is never used in the NT. This means:

1. John 1:1 — “ἐν ἀρχῇ ἦν ὁ λόγος” → not “outside beginning,” but “within beginning.” John deliberately sets the Logos in relation to ἀρχή rather than beyond it.

2. Colossians 1:18 — Christ is “ἡ ἀρχή, πρωτότοκος ἐκ τῶν νεκρῶν” → Christ is named as the beginning, not as “the one without beginning.”

3. Revelation 21:6; 22:13 — “Ἐγώ εἰμι τὸ Ἄλφα καὶ τὸ Ὦ, ἡ ἀρχὴ καὶ τὸ τέλος” → God/Christ explicitly claims both origin and end, but never the “un-originated” category.

A Möbius band has one continuous surface, yet if you trace along it, you encounter orientation shifts (inside/outside inversion). If you quarter it (divide into four extremities or perspectives), you obtain four “faces” of one undivided thing.

This matches the ancient sense of ἀρχή as having multiple orientations:

• Temporal: beginning of time.
• Spatial: edge, boundary, extremity.
• Causal: first principle, source of action.
• Sovereign: rule, power, dominion.

If ἀρχή involves a Möbius-like surface that can be experienced in four orientations, then to be “quartered” (διαιρέω, διαμερίζω; or in Hebrew, perhaps פָּצָה, חָלַק, פָּרַד — to divide, portion, separate) would mean something quite radical:

• A whole person would translate to one continuous surface. As long as the person’s temporal, spatial, causal, and sovereign orientations are in continuity, the body is one being (integrated self) or an eternal aion self.
• A division into four would not mean four “parts,” but rather a rupture of the unity of orientation.
• To be “quartered” would mean to have the four extremities/origins no longer folded together but pulled apart:
  • Temporal quartering → life loses its flow, past/future no longer connect; the person feels torn between regret and fear.
  • Spatial quartering → the body is disjointed, no longer oriented in place (exile, scattering, dismemberment).
  • Causal quartering → actions no longer arise from a coherent self; one says and does contradictory things, agency fractures (e.g. "I don't do things I want to do...I do what I don't want to do...")
  • Sovereign quartering → no inner rule or center remains; the heart is divided, allegiance is split.

This is both anthropological and eschatological:

• A quartered person is fragmented in being.
• A quartered city/nation is dispersed, scattered to "the four winds."
• A quartered cosmos is chaos, no longer one continuous creation but torn into extremities.

In Hebrew prophecy a scattering “to the four winds” (זְרוֹת לְאַרְבַּע רוּחוֹת) is divine judgment — the body politic—the People of God— is completely dismembered. In Greco-Roman imagery quartering a person was the ultimate destruction of bodily unity. In apocalyptic vision the “four beasts” (Dan. 7) or “four horsemen” (Rev. 6) point symbolically to a quartered world in which the continuous order has collapsed into extremities of chaos. To be “quartered” as a person would mean losing recursion (Möbius continuity), that is, the eternal aion life. Instead of one surface folding through four orientations, you are locked into separate compartments where your body is here, but your heart is elsewhere, your agency is in conflict, and your time is all but fractured. Such a person is alive but dis-integrated. You are no longer whole, but quartered—a dead one while yet living.

On the other hand, when the four orientations are harmonized (not quartered), the person becomes a living temple — four faces, one being (consider Ezekiel’s four living creatures, each facing outward yet united in one movement of the Spirit).

---