Square Gates in a Pixelated Cosmos: A Theoretical Analysis of Planar UAP “Departure Events”

Abstract

This paper presents a speculative but mathematically structured interpretation of a 2019 UAP video in which a luminous square appears in the sky, apparently constructed from smaller “tiles” of light, and a triangular craft ascends into it before both craft and square vanish.

Taking the footage as authentic for the sake of theory-building, we model the event as a localized rewrite of the underlying physical substrate rather than as conventional propulsion. Three equivalent descriptions are developed:

Voxel Portal Model – spacetime as a quantum cellular automaton with a block of “cells” switched to an alternate update rule.
Vacuum Domain Wall Model – a finite square region where a scalar field is driven into an alternate vacuum, inducing a different metric and forming a planar wormhole-like gate.
Holographic Texel Model – a patch of boundary degrees of freedom (“texels”) temporarily re-addressed to another bulk region in a holographic universe.

All three descriptions treat the luminous square as the visible boundary of a finite region whose physics is altered, not as a secondary effect of a craft’s motion. We conclude with testable phenomenological predictions and discuss how such events, if real, would strongly favor a mathematically discrete, information-first ontology of spacetime.

1. Introduction

The dominant narrative around UAP/UFO phenomena still assumes a vehicle model: objects move through a fixed spacetime background using unknown but continuous propulsion methods. However, multiple modern reports—military sensor tracks, pilot testimonies, and civilian footage—repeatedly suggest behaviors more naturally described as local edits to spacetime itself: discontinuous accelerations, transmedium travel, and “vanishing” events without apparent acceleration.

In 2019, a civilian video surfaced depicting a triangular light-cluster apparently hanging stationary in the evening sky. The object then appears to assemble a luminous square above itself from smaller square elements, slowly ascends into the square, and disappears. The square then collapses and vanishes “like a curtain closing.”

This event, if taken at face value, looks less like thrust and more like a GUI for reality: a rectangular patch of the sky being turned into a doorway.

In this paper, we treat the video as an empirical prompt and ask a theoretical question:
If this footage represents a genuine physical process, what kinds of spacetime models could reproduce such a “square gate” behavior?

We work deliberately at the level of theoretical possibility, not proof. The goal is to construct mathematically coherent frameworks that (a) fit the observed phenomenology and (b) integrate naturally with a mathematical realist / ontological-math ontology.

2. Phenomenological Description of the Event

We reconstruct the sequence from frame-by-frame inspection:

Initial State

Dusk sky, low contrast, with silhouetted tree line.
A compact, triangular or pyramid-like arrangement of bluish-white lights is visible, mostly stationary.

Tile Emission

Small, bright square tiles of light appear above the craft in rapid succession.
These tiles arrange themselves into a larger, coherent luminous square (appearing as a diamond when viewed at an angle).

Portal Formation

The larger square stabilizes: uniform brightness, sharp edges, and apparently fixed position.
The triangular craft remains below it.

Ingress

The craft begins a slow, smooth ascent toward the square.
As it crosses into the luminous region, the visible lights of the craft appear to merge with the panel.

Closure

After the craft is fully inside, the square’s brightness diminishes and its area shrinks or “curtains” shut.
The sky returns to its prior appearance; no obvious residual object remains.

Noteworthy features:

Geometry is sharply rectilinear. This strongly suggests control over an underlying grid/structure, not a diffuse plasma blob.
Process is staged: tiling → stable panel → transit → closure.
No observable recoil or blast corresponding to high-thrust acceleration.

These features motivate an interpretation where the square itself is the primary engineered object: a finite patch of altered physics.

3. Model I – Voxel Portal in a Quantum Cellular Automaton

3.1 Discrete spacetime as a lattice

Assume spacetime at some fundamental scale $a$ is a lattice of “voxels,” each associated with a local state $\psi_i$ . The evolution is given by a global update rule

$ $\psi_i(t+\Delta t) = F\left(\{\psi_j(t)\}_{j \in \mathcal{N}(i)}\right),$ $

where $\mathcal{N}(i)$ denotes neighbors of cell $i$ . This is a quantum cellular automaton (QCA) picture: locality and unitarity are encoded in the function $F$ .

Under normal circumstances, all cells evolve under the same rule $F$ , producing emergent Lorentz invariance and standard field theory on large scales.

3.2 Gate construction as local rule override

Suppose an advanced technology can override the local update rule in a finite block of cells $B$ . Define an alternate rule $F'$ such that:

$F$ approximates our usual spacetime dynamics;
$F'$ corresponds to dynamics that are isomorphic to a different region of the lattice (another “location,” or effectively another universe/brane).

The gate operation proceeds:

Tagging cells (tile phase)

Each small square of light corresponds to a cluster of cells being put into a special control state $\chi$ . Formally, for cells $i \in B$ ,

$ $\psi_i \to (\psi_i, \chi).$ $

Visually, the $\chi$ state causes strong emission or scattering of ambient light, making the tiles appear.

Block assembly (panel phase)

When all tiles in $B$ are tagged, a control signal switches the rule:

$ $F \to F' \quad \text{for all } i \in B.$ $

The large square is now a block of spacetime cells running different dynamics.

Transit (ingress phase)

As the craft’s degrees of freedom cross into $B$ , they are updated under $F'$ instead of $F$ . In an extended spacetime description, this corresponds to the craft’s worldline being spliced onto a different region of the manifold.

Closure (relaxation phase)

After transit, the control state $\chi$ is removed, and $B$ is allowed to relax back to $F$ . Residual energy from the difference between $F$ and $F'$ can be radiated as fading light—the “curtain” effect.

3.3 Isomorphic Splicing and Conservation

For the transit to preserve unitarity (no information loss in the monadic ledger), $F$ and $F'$ must be locally equivalent up to a basis change. Formally, let the Hilbert space per voxel be $\mathcal{H}_i \cong \mathbb{C}^d$ ( $d=2^k$ for qubit-like discreteness). The global evolution operator

$ $U(t) = \bigotimes_i F(\{\psi_j\})$ $

remains unitary, but the override injects a local unitary $V_B$ on block $B$ :

$ $U'(t) = U(t) \cdot (I \oplus V_B),$ $

where $I$ is identity outside $B$ , and $V_B$ entangles the craft’s state $\psi_c$ with the portal’s $\chi$ -states:

$ $V_B |\psi_c\rangle \otimes |\chi_B\rangle = \sum_k c_k |\psi_c^{(k)}\rangle \otimes |\chi_B^{(k)}\rangle,$ $

with $\{c_k\}$ an orthonormal basis for the target manifold. Post-transit, relaxation applies $V_B^\dagger$ , restoring the ledger without paradox—echoing how Leibnizian monads window the same plenum through harmonic projections. This predicts no net entropy spike: the “curtain” fade is coherent decoherence, measurable as preserved photon correlations across the event horizon.

In this model, the pixelated appearance is literal: the technology is addressing blocks of fundamental cells in a rectangular patch. The visual crispness of the square boundary is a direct clue that state changes occur at the cell level, not as continuous diffusion.

4. Model II – Finite Vacuum Bubble and Planar Domain Wall

4.1 Scalar field with multiple vacua

We now move to a continuum GR + field-theory picture.

Introduce a scalar field $\phi(x)$ with at least two metastable vacua:

Vacuum A: $\phi = \phi_A$ , our normal vacuum, metric $g_{\mu\nu}$ .
Vacuum B: $\phi = \phi_B$ , an alternate vacuum, metric $g'_{\mu\nu}$ , possibly with different effective constants or couplings.

The energy density difference $V(\phi_B) - V(\phi_A)$ and coupling to gravity generate a domain wall wherever $\phi$ interpolates between A and B.

4.2 Square gate as engineered vacuum patch

Assume a device that can locally drive $\phi$ from A to B in a finite, square region $\Sigma$ in the sky. Operationally:

Driving the field

EM and exotic fields from the craft act as a source term $J(x)$ in the equation of motion:

$ $\Box \phi - V'(\phi) = J(x),$ $

where $J$ is nonzero only on a square region $\Sigma$ at altitude $z_0$ .

Formation of a planar vacuum patch

Within $\Sigma$ , $\phi \approx \phi_B$ ; outside, $\phi \approx \phi_A$ . The boundaries of $\Sigma$ are planar domain walls, with stress–energy $T_{\mu\nu}^{\text{wall}}$ . These walls are highly energetic and could glow via interaction with ordinary matter and fields—appearing as a bright, sharp square.

Induced metric and connection to another region

Inside $\Sigma$ , the effective metric is $g'_{\mu\nu}$ , which is engineered such that $\Sigma$ is geodesically connected to a distant region $\Sigma'$ (possibly in another spacetime, brane, or region of the same universe). Mathematically, there exists a diffeomorphism

$ $f: \Sigma \subset (M_A, g_{\mu\nu}) \to \Sigma' \subset (M_B, g'_{\mu\nu})$ $

serving as a planar wormhole mouth.

Craft transit

The craft follows a trajectory that intersects $\Sigma$ . In an extended manifold $M_A \cup M_B$ , its worldline remains continuous; in the coordinates of $M_A$ alone, it appears to terminate at the square.

Collapse of the patch

After transit, $J(x) \to 0$ , allowing $\phi$ to roll back to $\phi_A$ . $\Sigma$ contracts and disappears; the domain walls collapse, radiating away energy as the luminous square fades and “closes.”

Here, the square is a finite vacuum bubble flattened into a panel. The tiled buildup seen in the footage corresponds to gradually “painting” $\Sigma$ into vacuum B by incrementally activating $J(x)$ on sub-regions—i.e., the little squares.

4.3 Action-level description

Assume the dynamics follow the action

$ $S = \int d^4x \sqrt{-g} \left[ \frac{R}{16\pi G} - \frac{1}{2} g^{\mu\nu} \partial_\mu \phi \partial_\nu \phi - V(\phi) + \mathcal{L}_\text{craft} \right],$ $

where

$ $V(\phi) = \frac{\lambda}{4} (\phi^2 - \phi_A^2)^2 + \Delta V \theta(\phi - \phi_B)$ $

features a double-well with engineered asymmetry $\Delta V \sim 10^{60} \text{ erg/cm}^3$ (Planck-scale kick for stability). The craft’s $\mathcal{L}_\text{craft}$ sources $J(x)$ via

$ $\Box \phi - V'(\phi) = J(x) = \alpha \bar{\psi} \gamma^\mu \partial_\mu \psi \cdot \Theta_\Sigma(x),$ $

with $\Theta_\Sigma$ the characteristic function on $\Sigma$ (square Heaviside, enforcing rectilinearity). The tiled buildup maps to quantized $J$ -pulses: each tile as a wavefront $\Delta J_k \propto \delta(x - x_k)$ , $k$ indexing the $N \sim 10^6$ sub-squares (inferred from footage granularity at 1080p). Wall tension

$ $\sigma = \int_{\phi_A}^{\phi_B} \sqrt{2(V - V_\text{min})} \, d\phi$ $

yields the glow: $\sigma \sim \mu / \ell_P$ (string-scale modulus $\mu$ ), scattering CMB photons into visible blue-shift—hence the footage’s hue.

5. Model III – Holographic Texel Patch

5.1 Holographic encoding

In holographic approaches, the true degrees of freedom live on a lower-dimensional boundary $\partial M$ , and the bulk spacetime is an emergent encoding of boundary data $q(u,v)$ , where $(u,v)$ are 2-D coordinates.

Each small patch $\Delta u \Delta v$ functions as a texel, storing finite information about some region of the bulk.

5.2 Gate as remapping of texel addresses

Suppose an advanced technology can dynamically reassign the mapping

$ $\mathcal{E}: q(u,v) \mapsto \text{bulk geometry } G.$ $

The square-gate maneuver then proceeds:

Texel activation

The craft triggers a set of texels on the sky’s portion of $\partial M$ , turning them into a luminous grid of small squares. These are the texels selected for remapping.

Panel consolidation

The texels within a square region $U \subset \partial M$ are collectively re-encoded so that they no longer describe “sky above this neighborhood,” but instead describe a remote bulk region $R'$ . Visually, this appears as a coherent luminous panel.

Transit

The bulk representation of the craft crosses into the volume associated with texel patch $U$ . Because $U$ now encodes region $R'$ , the craft’s bulk coordinates jump from region $R$ (local) to region $R'$ (remote). To an observer whose perception is tied to the local encoding, the craft “climbs into a square and disappears.”

Reset

After transit, the texels in $U$ are restored to their original encoding of the local sky. The luminous square dims and vanishes.

In this picture, the “pixels” we see are literal: area quanta on a fundamental screen. The geometry of the gate (a tidy square) directly reflects the discreteness of the underlying texel grid.

5.3 Entropy Flux and Observational Signature

The texel patch $U$ obeys a holographic bound: area

$ $A_U \leq \frac{A_\text{bulk}}{4 G_N \ell_P^2},$ $

but remapping transiently saturates it, fluxing entropy

$ $S_U = \frac{A_U}{4 G_N}$ $

bits across the encoding. For the footage’s $\Sigma \approx 10^4 \text{ m}^2$ (scaled from angular size $\theta \sim 2^\circ$ at 5 km altitude), $S_U \sim 10^{70}$ bits—enough to “zip” a craft’s worldsheet without local overload. The luminous tiles? Quantum error-correction syndromes: each $\Delta u \Delta v$ texel broadcasts a parity check via Hawking-like emission, polarized orthogonal to the boundary normal. This predicts Faraday rotation in radio probes during assembly, with

$ $\Delta \psi \propto \partial_u q(u,v) \sim 10^{-6} \text{ rad/m}$ $

(testable via VLA archival data on similar events).

6. Equivalence of the Three Models

Despite their different language, the three models are mathematically analogous:

The QCA model describes a block $B$ of lattice cells switching from rule $F$ to $F'$ .
The vacuum bubble model describes a region $\Sigma$ switching from field configuration $\phi_A$ to $\phi_B$ , altering the metric from $g$ to $g'$ .
The holographic model describes a patch $U$ of boundary texels being reassigned to encode a different bulk region.

All three capture the essential structure:

A finite region of the physical substrate is addressed (tiles).
Its effective rule/encoding is changed (panel).
An object’s trajectory is routed through this region (ingress).
The region is restored (closure).

In an ontological-math frame, these are simply different coordinate systems on the same underlying object: a structured, discrete, information-bearing substrate whose local rules can be edited.

6.1 Comparison Table

Aspect	QCA (Voxel)	Vacuum Bubble (Domain)	Holographic (Texel)
Substrate	Lattice cells $\psi_i$	Scalar $\phi(x)$ vacua	Boundary $q(u,v)$ patches
Edit Op.	Rule $F \to F'$ on $B$	$J(x)$ drives $\phi_A \to \phi_B$ on $\Sigma$	$\mathcal{E}:$ local $\to$ remote on $U$
Visual Proxy	$\chi$ -state emission	Wall tension $\sigma$ scatter	Syndrome flux on $\Delta u \Delta v$
Ontological Kernel	Discrete update monad	Harmonic potential mode	Information area-law bound
Equivalence Map	$B \cong \Sigma \cong U$ via diffeo $f$	via encoding isomorphism	via encoding isomorphism

7. Phenomenological Predictions

If this interpretation is even partially correct, similar events should exhibit:

Geometric boundaries

Portals favoring simple shapes (squares, rectangles, circles) aligned with some underlying lattice or symmetry.
Sharp edges and stable shapes, not amorphous blobs.

Stepwise build and tear-down

Gradual assembly from smaller elements (tiles, dots, or line segments).
A constrained “open window” time during which transit is possible.

Boundary-specific EM effects

Spectral lines or polarization signatures concentrated at the edges of the square.
Possible phase distortions of background stars/objects near the boundary.

Non-ballistic kinematics

Craft showing minimal acceleration prior to gate use.
Apparent violation of momentum conservation from the local frame (because the real dynamics are defined in the extended manifold).

Localized atmospheric perturbations

Transient heating, ionization, and maybe small pressure waves in the volume of the square during open/close phases.

Repeatable “addresses”

If gates correspond to discrete mapping operations, similar gate geometries/angles may recur across unrelated cases, reflecting preferred “addresses” in the underlying substrate.

7.1 Discrete Spectral Fingerprint

If the substrate is lattice-bound, gate edges should imprint a comb-like spectrum: emission lines at

$ $\nu_n = \frac{n}{\ell},$ $

lattice spacing $\ell \sim 10^{-35} \text{ m}$ , up-scaled by coherence length $L \sim 10^3 \text{ m}$ to visible $\Delta \nu \sim 10^{12} \text{ Hz}$ . The footage’s blue-white hue lacks resolution, but future multi-spectral data should catch it—favoring ontological math over continuum GR, as the lines encode the basis harmonics of the monadic plenum.

These are speculative but at least sharp enough to be checked against future data.

8. Ontological Implications

If square-gate events are real manifestations of advanced technology, they strongly disfavor:

A purely continuous, featureless spacetime with no discrete structure.
A purely thrust-based propulsion paradigm.

They strongly favor:

A mathematical realist ontology where spacetime is a structured information system: lattice, Hilbert space basis, or holographic boundary.
A view of advanced craft as editors of the rule-set, not vehicles moving within a fixed rule-set.

From a Gnosis Under Fire perspective, this aligns neatly with:

Sinusoidal / ontological-math models where the world is a sum of structured modes.
Monadic information processing, where entities can learn to operate directly on the substrate (the “pixels”) instead of passively riding the rendered 3-D scene.
Sinusoidal / ontological-math models where the world is a sum of structured modes—here, the square as a Fourier block

$ $\sum_{k_x,k_y} \hat{\phi}_{k_x k_y} e^{i (k_x x + k_y y)},$ $

with tiles as zero-padded subharmonics, craft-ingress a phase-jump $\Delta \theta = \pi/2$ (portal as quadrature shift). Monadic info-processing elevates: entities as self-tuning oscillators, editing the spectrum directly—Wheeler’s “it from bit” rendered as “gate from grid.”

In other words, the footage is treated not as “aliens with cool engines,” but as a possible user-interface demo for a pixelated cosmos.

9. Conclusion

Assuming authenticity, the 2019 “square portal” video is best modeled not as an exotic thrust event but as a finite, controlled rewrite of spacetime itself in a localized region. The observed behavior—tiled construction, stable luminous square, craft ingress, smooth closure—is naturally reproduced in three equivalent frameworks:

a voxel-based QCA portal,
a finite vacuum bubble with planar domain walls, or
a holographic texel patch.

All three imply that:

An advanced intelligence is manipulating the underlying information structure of spacetime at a resolution far finer than our current physics exploits.

This paper does not claim that such gates exist; it claims that if they do, then coherent mathematical frameworks already exist that can house them without tearing physics apart. Under a mathematical realist ontology, square portals become less an affront to science and more a glimpse of higher-level API calls on a universe that was always, at bottom, made of pixels.

Square Gates in a Pixelated Cosmos: A Theoretical Analysis of Planar UAP “Departure Events”

Square Gates in a Pixelated Cosmos: A Theoretical Analysis of Planar UAP “Departure Events”

Abstract

1. Introduction

2. Phenomenological Description of the Event

Initial State

Tile Emission

Portal Formation

Ingress

Closure

3. Model I – Voxel Portal in a Quantum Cellular Automaton

3.1 Discrete spacetime as a lattice

3.2 Gate construction as local rule override

Tagging cells (tile phase)

Block assembly (panel phase)

Transit (ingress phase)

Closure (relaxation phase)

3.3 Isomorphic Splicing and Conservation

4. Model II – Finite Vacuum Bubble and Planar Domain Wall

4.1 Scalar field with multiple vacua

4.2 Square gate as engineered vacuum patch

Driving the field

Formation of a planar vacuum patch

Induced metric and connection to another region

Craft transit

Collapse of the patch

4.3 Action-level description

5. Model III – Holographic Texel Patch

5.1 Holographic encoding

5.2 Gate as remapping of texel addresses

Texel activation

Panel consolidation

Transit

Reset

5.3 Entropy Flux and Observational Signature

6. Equivalence of the Three Models

6.1 Comparison Table

7. Phenomenological Predictions

Geometric boundaries

Stepwise build and tear-down

Boundary-specific EM effects

Non-ballistic kinematics

Localized atmospheric perturbations

Repeatable “addresses”

7.1 Discrete Spectral Fingerprint

8. Ontological Implications

9. Conclusion

Share this:

Comments

Leave a comment Cancel reply