Projective Representation of Residual Kinematic Anomalies in the May 2026 PURSUE UFO Dataset
Note: This work presents the Author’s Original Manuscript; the formal treatise has been submitted to a peer-reviewed journal and posted as a preprint. 23-May-2026.
Projective Representation of Residual
Kinematic Anomalies in the May 2026 PURSUE UFO Dataset
(May 2026 PURSUE Dataset, Tranche I and II)
Juliet Zhong
Independent
Researcher, London, United Kingdom
Orcid: 0009-0006-5099-3671
ABSTRACT
The
United States Department of Defense (DoD) released two tranches of declassified
UFO materials under the Presidential Unsealing and Reporting System for UAP
Encounters (PURSUE): Tranche I on 8 May 2026 (161 files) and Tranche II on 22
May 2026 (51 videos, documents, and audio recordings). These datasets contain
multi-platform infrared and electro-optical tracking records exhibiting
kinematic and morphological features that resist coherent description within
standard three-dimensional dynamical frameworks, including rigid-body
mechanics, fluid interaction models, and aerodynamic constraints.
Several
events display trajectory discontinuities incompatible with bounded
acceleration under Newtonian dynamics, cross-medium transitions without
measurable hydrodynamic dissipation, and morphological instability under fixed
sensor lock. Most critically, one case shows an object absorbing a direct
kinetic strike, fragmenting, and simultaneously emitting a luminescent residual
point that continues independent flight on a divergent trajectory, a pattern
not accommodated by existing 3D rigid-body or failure models.
This
paper introduces a projective representation framework, derived from
Ripple-Instantiation Cosmology (DOI: 10.21203/rs.3.rs-9601290/v1), treating the
observed trajectory field as a low-dimensional cross-section of a latent
higher-dimensional structure. It argues that PURSUE kinematic residuals are
more compactly represented via a parameterised projection operator than by any
three-dimensional mechanical model, and derives three falsifiable discriminants
distinguishing the framework from conventional physics and sensor noise,
establishing a testable contribution to anomalous aerial observation analysis.
Keywords: UFO; UAP; PURSUE dataset; kinematic anomaly; projection
operator; observation residual; high-dimensional representation;
Ripple-Instantiation Cosmology; DoD declassification
I.
INTRODUCTION
Physics
does not encounter the question of unidentified aerial objects for the first
time in 2026. Decades of instrumented observation, involving radar, optical
sensors, and multi-spectrum infrared tracking, have periodically returned
records that resist standard classification. What changed on 8 May 2026 was not
the physics of the phenomena but the institutional authority of the dataset:
the United States federal government, under executive directive from President
Donald Trump, authorised the systematic public release of previously classified
UFO observation records through the newly established PURSUE system. Tranche I,
published on 8 May, comprised 161 files spanning decades of military and
intelligence records. Tranche II, released on 22 May 2026, added 51 videos,
several documents, and audio recordings, extending the public corpus to more
than 200 individually catalogued items.
The
significance of this corpus for physical science is not exotic speculation — it
is methodological obligation. These are not anecdotal reports submitted by
private individuals. They are official records generated by calibrated military
infrared sensors, electro-optical tracking systems, and institutional
intelligence personnel operating under formal chain-of-custody protocols. The
Pentagon's All-domain Anomaly Resolution Office (AARO) has itself acknowledged
that many of these cases remain 'unresolved' and cannot be explained within
current analytical frameworks. When the institution that produced the data
publicly admits the explanatory failure of its own models, the scientific
community has a positive obligation to take the anomaly seriously as a problem
of physics — not of public relations.
This
paper accepts that obligation. Its scope is precisely bounded: the analysis is
restricted to those observations within the May 2026 PURSUE dataset that
exhibit kinematic or morphological features producing significant residuals
under the full range of available three-dimensional physical models. It does
not address the complete corpus; it addresses the class of events for which
standard physics produces the largest and most structured discrepancy. Within
that class, this paper proposes a projective representation framework as a
candidate description — one that yields measurably more compact and internally
consistent accounts of the observed trajectory data than any competing
three-dimensional hypothesis.
The
historical record of this failure is worth stating clearly, because it is often
obscured by institutional reluctance and popular sensationalism in equal
measure. Physicists have known since at least the early 1950s that a subset of
aerial observation records — military radar returns, trained pilot visual
sightings, and multi-sensor tracking data — produce residuals that resist all
available three-dimensional mechanical explanations. Project Blue Book, the
United States Air Force investigation that ran from 1952 to 1969, classified a
consistent fraction of its cases as 'unknown' not for want of investigative
rigour but because the observational data genuinely exceeded the explanatory
capacity of the available physical models. The Condon Report of 1969, despite
its dismissive conclusions at the institutional level, contained detailed case
analyses in which the lead investigators themselves acknowledged irreducible
kinematic anomalies. The AARO reports of the 2020s continue this pattern: the
cases labelled 'unresolved' are not the poorly documented ones. They are,
systematically, the most thoroughly documented ones — those with the most
sensors, the most witnesses, and the most detailed trajectory records. The
anomaly is not a product of measurement insufficiency. It is a product of the
data.
Against
this background, the May 2026 PURSUE releases represent a qualitative change in
the scientific situation — not because the phenomena are new, but because the
institutional standing of the dataset is unprecedented. Physics has an
obligation to engage with officially released, multi-decade, multi-sensor,
institutionally authenticated anomalous observational data that its own models
have failed to describe for more than seventy years. The question is not
whether this engagement is appropriate. The question is what conceptual tools
are adequate to it.
The theoretical framework introduced here is not without prior basis. The Ripple-Instantiation Cosmology model, published previously as a preprint (DOI: 10.21203/rs.3.rs-9601290/v1), proposed a general account of physical observation as a cross-dimensional projection process in which what is recorded by any bounded observational system is necessarily a cross-sectional signature of a generative structure that may not itself be confined to the observer's dimensional domain. The present paper constitutes the first direct application of that model's projection geometry to empirical, institutionally verified observational data. It must be explicit that the 4D framework conceptualised in this treatise denotes a purely spatial topological manifold acting as the geometric source for low-dimensional projections, which remains fundamentally distinct from the classical Einsteinian 3+1D relativistic spacetime continuum.
One clarification of scope is necessary before proceeding. This paper advances a claim of representational adequacy, not a claim of ontological completion. The assertion is that the projection framework provides a strictly more compact and internally consistent description of the PURSUE residual data than any available three-dimensional alternative — not that the physical nature of the generative source has been established. Under residual minimisation as the evaluation metric, the projection framework dominates existing three-dimensional models for the event classes defined in Section III. That is the claim this paper defends. The structure of the argument is: first, establish the precise nature of the residual in the physical record (Section II); second, classify the residual events into distinct anomaly classes (Section III); third, construct the formal projection framework and show how it accommodates each class without remainder (Sections IV and V); fourth, extract falsifiable discriminants that separate this framework from competing hypotheses (Section VI); and fifth, assess the interpretive implications for the physical science of UFO observation (Section VII).
II.
THE DATASET: PURSUE TRANCHE I AND II
2.1 Institutional Provenance and Release
Conditions
The
materials released under PURSUE are drawn from across multiple branches of the
United States federal apparatus, including the Department of Defense, the
Federal Bureau of Investigation, the Intelligence Community, and NASA records.
The Pentagon explicitly described the release as an effort to provide
'unprecedented transparency regarding our government's understanding of
Unidentified Anomalous Phenomena'. Secretary of Defense Pete Hegseth framed the
initiative as a commitment to 'maximum transparency' on unexplained aerial
events, while Director of National Intelligence Tulsi Gabbard described a
'comprehensive multi-agency declassification programme' as the broader
institutional context.
Tranche
I (8 May 2026) included records spanning from 1948 to the present, among them
an Armed Forces Special Weapons Program report from 1948–1950 cataloguing 209
sightings — including orbs and disc-shaped objects observed at Sandia, New
Mexico, where witnesses described objects that 'manoeuvred, flew away and
disappeared but then exploded'. It also included Apollo mission photographs
with annotated anomalies and NASA astronaut communications referencing lunar
phenomena.
Tranche
II (22 May 2026) is primarily video material: 51 videos captured by military
infrared sensors between 2018 and 2023, six documents, and a set of audio
recordings. The Pentagon noted that Congress had formally requested these
materials in March 2026, and that 'many lacked a substantiated chain of
custody', meaning that provenance discontinuities exist for a subset of the
corpus. This is a material limitation and is acknowledged as such; the analysis
in this paper is correspondingly conservative, drawing its strongest inferences
from those events with the most clearly documented sensor provenance.
2.2 Observable Characteristics Relevant to
Physical Analysis
Across
the two tranches, a set of recurring phenomenological characteristics appears
consistently in the infrared and electro-optical records. These characteristics
are drawn directly from the Pentagon's own accompanying descriptions and from
eyewitness accounts provided by named or institution-identified personnel.
First:
apparent velocity discontinuities. Multiple records, including a video
explicitly labelled 'Syrian UFO instant acceleration' — captured by a United
States military platform in 2021 and uploaded to a classified network in 2024 —
show objects undergoing abrupt velocity transitions that are incompatible with
any known conventional propulsion system operating under Newtonian dynamics.
The Pentagon provides no explanation.
Second:
morphological instability under fixed sensor tracking. Several of the released
infrared records show objects whose apparent cross-sectional profile changes
continuously while the sensor tracking lock is maintained. The objects shift
between compact elliptical profiles, expanded irregular contours, and minimal
luminescent points within single unbroken tracking sequences. A spherical
object documented over the Yellow Sea in 2022 exemplifies this pattern.
Third:
cross-medium transitions without dissipative signatures. Eyewitness accounts
from the 1948–1950 Sandia file and from more recent records describe objects
traversing the air–ground and air–water interface without generating the
hydrodynamic cavitation, thermal wake, or acoustic signature that any known
physical object of comparable apparent size and velocity would necessarily
produce.
Fourth:
the fragmentation-and-residual event. Tranche II contains footage — attributed
to a Lake Huron engagement in February 2023 — showing a tracked object
receiving a direct kinetic strike from a United States fighter aircraft,
undergoing apparent fragmentation with debris dispersing in multiple
directions, and simultaneously emitting a luminescent point of substantially
smaller apparent cross-section that departs from the fragmentation field on an
independent trajectory and continues flight. This event constitutes a
qualitatively distinct evidentiary category that is addressed in detail in
Section III.
Fifth:
coordinated multi-object behaviour. A senior US intelligence officer,
identified in the Tranche II documents as an experienced military helicopter
crew member, provided a formal account of an observation made in the western
United States in 2025. The officer described 'countless orange orbs swarming in
all directions', objects that were 'super-hot, low to the ground and moving at
high speed', exhibiting oval shape with white or yellow centres and
omnidirectional light emission. The objects then 'appeared to coalesce, forming
a distinct triangle before vanishing'. After military aircraft were scrambled,
the same orbs reportedly 'chased the fighters', leaving the officer 'virtually
speechless'.
III.
RESIDUAL CLASSIFICATION: WHERE 3D PHYSICS PRODUCES NO SOLUTION
3.1 Defining the Residual
The
term 'residual' is used here in its technical sense. Given a set of
observational trajectory data x_obs(t) and the best available prediction from a
physical model x_phys(t), the residual r(t) = x_obs(t) − x_phys(t) represents
the portion of the observed behaviour that the model fails to account for. For
the phenomena described above, r(t) is not noise — it is not randomly
distributed, it does not diminish with improved sensor calibration, and it does
not disappear when multiple independent observational platforms are
cross-referenced. It is structured, consistent, and reproducible.
Three-dimensional
physics is not a monolithic model; it contains a hierarchy of increasingly
complex frameworks. The relevant hierarchy for these events includes: (i)
classical rigid-body Newtonian dynamics; (ii) continuum fluid mechanics,
including subsonic and supersonic aerodynamic models; (iii) structural
mechanics and material failure models; and (iv) electromagnetic scattering and
thermal imaging models. Each of these frameworks is applied in sequence to the
observed behaviour before a residual is declared.
3.2 Class I: Kinematic Discontinuity
Class
I events are those in which the observed trajectory exhibits velocity or
acceleration fields that are incompatible with any physical object possessing
non-zero mass under Newtonian and relativistic mechanical constraints. The
Syrian UFO 'instant acceleration' record is the most explicit example in the
PURSUE corpus. The object's apparent transition from near-stationary to high
velocity occurs within a timeframe that, given the sensor frame rate, implies
an acceleration on the order of hundreds of g — incompatible with any known
airframe material under structural integrity constraints, and incompatible with
any known propulsion mechanism generating the required impulse without a
detectable exhaust or thermal signature.
The
physical constraints here are multiple and independent, which is why Class I
events are not merely difficult for standard models but structurally impossible
within them. Newtonian mechanics requires that any object with non-zero rest
mass undergoing acceleration must receive an impulse from an external force;
the reaction to that force must be detectably present in the sensor
environment. At the accelerations implied by the observed velocity transitions,
the propulsive energy required would generate a thermal or electromagnetic
signature orders of magnitude above the detection threshold of the infrared
sensors that recorded the events. None is present. Relativistic mechanics, far
from offering an escape, makes the constraint more severe: at velocities approaching
any significant fraction of c, time dilation and mass-energy equivalence impose
further restraints on the achievable acceleration profile. Neither framework
offers any path to accommodation of Class I trajectories without remainder.
It
is sometimes proposed that Class I events result from sensor parallax errors,
platform motion effects, or tracking algorithm artefacts. These explanations
are insufficient for the PURSUE corpus because: the events appear in
multi-frame sequences in which sensor platform motion has been independently
logged; the apparent velocities are inconsistent with known sensor artefact
signatures; and, in the case of military-grade tracking systems, the instrument
specifications exclude the error magnitudes required to account for the
observed trajectory shifts. The specific case of the Syrian record — taken from
a US military platform in 2021 and uploaded to a classified network in 2024,
subject to multiple AARO reviews — has been examined under precisely these hypotheses
and remains unresolved. The AARO designation 'unresolved' is not a placeholder
for a pending explanation. It is the formal acknowledgement that the available
three-dimensional physical models have been applied and have failed. The
residual in Class I events is not reducible to measurement error within any
documented sensor performance envelope.
3.3 Class II: Morphological Instability
Class
II events are those in which the apparent cross-sectional profile of the
tracked object changes continuously under stable sensor lock. This class is
particularly significant because it presents a structural paradox for any
three-dimensional material object hypothesis. A rigid body, by definition,
maintains a fixed relationship between its physical dimensions and any observed
cross-section: variations in apparent profile under fixed tracking must be
accounted for by rotation, or by systematic changes in distance or orientation.
In
the PURSUE records, however, the observed morphological variation is neither
consistent with rigid-body rotation (the transition between profiles is too
rapid and non-smooth) nor with distance variation (the objects' apparent
angular velocity and trajectory geometry exclude the required manoeuvres). The
objects transform between qualitatively distinct profile geometries — from
compact point to extended ellipse to irregular fragmented contour — in ways
that no known solid, liquid, gaseous, or plasma-state physical object can
exhibit while maintaining a consistent tracking lock. The Class II residual is
not reducible to any known material state or dynamic deformation model.
3.4 Class III: The Fragmentation-and-Residual
Event
Class
III is defined by a single event, but it is the most consequential in the
corpus, and it demands the most careful treatment. The Lake Huron footage from
February 2023, released in Tranche II, shows a tracked object — physically
compact, with a definite apparent boundary — receiving a direct kinetic strike.
The object undergoes fragmentation: debris disperses radially outward from the
impact point, consistent with the structural failure of a physical body under
impulsive loading. So far, this is precisely what a standard material failure
model predicts.
What
the material failure model cannot account for is the subsequent behaviour.
Within the fragmentation event, a luminescent point of substantially smaller
apparent cross-section separates from the debris field and continues
independent flight on a trajectory that diverges from the ballistic paths of
the surrounding debris. This point does not decelerate as a fragment under air
resistance; it does not follow a parabolic trajectory consistent with impulsive
ejection; it continues controlled flight.
Standard
physics permits no mechanism by which a fragment separated by high-energy
impact from a physical object can continue powered, directional flight without
a physically identifiable propulsion source. The fragmentation event produces
two distinct observational classes simultaneously: a conventional debris field
(consistent with 3D material physics) and an anomalous residual point
(inconsistent with 3D material physics). Any physical model must account for
both.
The
critical observation is this: the local physical interactability of the outer
structure — its capacity to absorb kinetic energy, fragment, and disperse —
does not imply that the complete observational behaviour of the event falls
within the closure domain of three-dimensional rigid-body mechanics. These are
separate claims. The outer structure's fragmentation establishes that some form
of physical interaction occurred at the three-dimensional observational
boundary. The residual point's independent continuation establishes that the
fragmentation event did not exhaust the generative source of the phenomenon.
IV.
THE PROJECTION REPRESENTATION FRAMEWORK
4.1 Conceptual Basis
The
physical question posed by the PURSUE dataset is the following: given a set of
observations that exhibit structured, reproducible residuals under the complete
available range of three-dimensional dynamical models, what is the minimal
representational extension required to accommodate those residuals without
internal contradiction?
This
question has a precise methodological status. It is not asking for the ultimate
physical explanation of UFO phenomena. It is asking for the minimal change to
the representational framework of physics — the minimal extension of the class
of descriptions physics permits itself to consider — that is sufficient to
accommodate the data without remainder. This is a standard question in physical
theory formation: when a well-defined observational class consistently exceeds
a model's descriptive capacity, the scientifically appropriate response is to
identify the minimal structural extension of the model that resolves the
excess, and to test whether that extension generates falsifiable predictions.
This paper follows that procedure.
The
answer proposed here begins with a geometric analogy that is simple, precise,
and physically grounded. Consider a three-dimensional object moving through
space. A two-dimensional observer — constrained to a flat surface, equipped
only with sensors that record intersection profiles — would observe a sequence
of cross-sectional shapes as the three-dimensional object passes through or
moves along the surface. The two-dimensional observer would record: apparent
profile changes that cannot be explained by two-dimensional rigid-body
rotation; apparent velocity discontinuities as a curved object passes through
the surface plane at varying angles; the sudden disappearance of a large object
followed immediately by a small residual contact point. Every one of these
observations would produce enormous residuals under any purely two-dimensional
mechanical model. None of them constitutes a violation of physics. They are
consequences of dimensional restriction in the observer (Penrose, 2004).
The
same logic extends to any dimensional boundary. A three-dimensional observer
equipped with sensors that record three-dimensional cross-sections of a
structure whose generative source is not exhaustively confined to three spatial
dimensions would record precisely the anomaly classes identified in Section
III: velocity fields incompatible with inertial mechanics (the cross-section
moves as the higher-dimensional structure rotates, not because the structure
itself accelerates within the observer's space); morphological instability
under tracking (the cross-sectional profile changes continuously as the
intersection geometry shifts); and — most critically — the ability of a
structure to continue generating a three-dimensional observational signature
after the three-dimensional cross-section that was interacting with the
observer's physical domain has been destroyed. The shadow can be broken. The
object casting the shadow does not break with it.
The
projection framework does not assert, as a claim about physical reality, that
UFOs are literally four-dimensional objects. It asserts something more precise
and more scientifically tractable: that the observational features in the
PURSUE dataset are more coherently described by treating the observed
trajectory field as a low-dimensional cross-section of a parameterised
generative structure than by treating the observed trajectory field as the
complete description of a three-dimensional physical object. The question of
what that generative structure physically is lies outside the scope of this
paper. The question of whether the projection representation provides a more
adequate description of the data is the question this paper answers.
4.2 Formal Structure: The Observation Operator
Let
H denote an abstract state space representing the complete generative structure
of the observed phenomenon. Let M₃ denote the three-dimensional observation
manifold — the physical space in which sensor measurements are made. A
parameterised projection operator is defined as:
Π_λ : H
→ M₃
where
λ(t) ∈ Λ is a bounded measurement configuration parameter encoding the
effective geometry of the observation event: sensor orientation, spectral
window, dynamic range, and effective sampling resolution. The observed
trajectory is then:
x_obs(t)
= Π_λ(t) [X(t)]
where
X(t) ∈ H is the latent state of the generative source. Taking the time
derivative:
v_obs(t)
= Π_λ · dX/dt + (∂Π_λ/∂λ)(dλ/dt) · X(t)
The
first term represents the contribution of intrinsic evolution in the latent
state space. The second term — the operator transport term — represents the contribution
of observation configuration dynamics to the apparent velocity of the observed
object. This second term has no analogue in standard three-dimensional
kinematics, where the observation apparatus is assumed to be a passive recorder
of a pre-existing trajectory.
The significance of the operator transport
term is immediate. An object whose latent state X(t) is constant — not moving
in the generative space — can nevertheless produce an apparent velocity in M₃
that is arbitrarily large, provided that the observation configuration
parameter λ(t) changes sufficiently rapidly. The apparent acceleration of the
observed object is not bounded by the inertial properties of any physical mass;
it is bounded by the rate of change of the observation geometry. To ensure
structural identifiability, the parameter space Λ is assumed compact and the
variation rate of λ(t) is subject to the bounded modulation constraint
||dλ/dt|| ≤ K_λ, where K_λ is a finite physical constant determined by sensor
geometry and platform dynamics. This constraint prevents the operator transport
term from functioning as an unconstrained free variable: the apparent velocity
field in M₃ is bounded by an independently measurable physical quantity, not by
an adjustable fitting parameter. The components of λ(t) are not abstract; they
correspond directly to independently logged sensor metadata fields available in
military tracking systems: the angular velocity of the sensor platform, the
dynamic variation in effective focal length and instantaneous field of view,
and the temporal sampling window of the recording frame rate. Each component
is, in principle, recoverable from the instrument configuration logs that
accompany any calibrated military infrared or electro-optical tracking record.
The identifiability of the projection operator is therefore not a theoretical
assumption — it is an empirical condition that the PURSUE corpus either
satisfies or fails to satisfy on a case-by-case basis, depending on the
completeness of the chain-of-custody documentation accompanying each released
file. Under these conditions, the projection framework dominates any
three-dimensional rigid-body model in residual norm R(t) across the Class I
event set in the PURSUE corpus — a claim that constitutes a formal, falsifiable
model-selection result rather than an interpretive preference. This is
precisely the structure required to accommodate Class I events — apparent
kinematic discontinuities that violate Newtonian inertial constraints — without
any violation of physical law in the generative space.
4.3 Morphological Variation as Cross-Section
Geometry
Class
II events — morphological instability under fixed sensor tracking — are
accommodated by the projection framework through a distinct mechanism. Consider
a latent state X(t) that has a definite, fixed structure in H. The
cross-section of this structure with the observation plane M₃ is determined by
the orientation of the projection operator Π_λ. As λ(t) evolves — as the
effective observation geometry shifts — the cross-sectional profile of X in M₃
changes, even though the latent state itself is geometrically constant. A
compact ellipsoid in H, intersected at different angles by a planar observation
surface, produces cross-sections ranging from a point to a circle to an
elongated ellipse. The object has not changed. The cross-section has.
This
mechanism provides a direct physical account of the profile transitions
observed in Class II events. It does not require the postulation of any exotic
material state or unprecedented structural deformation mechanism. It requires
only that the generative structure of the phenomenon is not fully captured by a
single, fixed three-dimensional profile — a condition that the observations
themselves establish.
4.4 The Fragmentation Event and Operator
Discontinuity
Class
III — the fragmentation-and-residual event — is the most demanding test of the
projection framework, and it is where the framework's structural advantage over
all three-dimensional alternatives is most clearly demonstrated.
The
Lake Huron footage presents a bifurcated observational record: a conventional
fragmentation debris field and a continuing anomalous residual point. In
three-dimensional terms, these are mutually exclusive: a physical object cannot
simultaneously fragment into a debris field and continue as a coherent, powered
vehicle. The three-dimensional model has no mechanism for accommodating both
observations within a single physical description.
The
projection framework accommodates both without contradiction. The outer
structure that fragments represents the intersection of the latent state X(t)
with M₃ at the moment of kinetic impact. The impulsive energy deposition
creates a local perturbation in the observation geometry — a transient
singularity in λ(t) at the moment of impact. This perturbation causes the
projection operator to produce a fragmented cross-sectional pattern in M₃: the
debris field observed on camera. Simultaneously, the portion of X(t) that maps
to the minimum-cross-section configuration under the new λ — the luminescent
residual point — continues to project into M₃ on a trajectory governed by the
continued evolution of X(t) in the latent space.
In
summary: the fragmentation event breaks the observational intersection geometry
without necessarily terminating the latent generative source. Local physical
interactability — the capacity of the observed cross-sectional profile to
absorb and respond to kinetic energy — is real and is not denied by this
account. But local physical interactability at the three-dimensional
observational boundary is not equivalent to complete confinement of the
phenomenon within three-dimensional mechanics. The outer profile is fragmented.
The generative source continues. Both observations are real. The projection
framework is the only available formalism that renders them simultaneously
consistent.
V.
APPLICATION TO SPECIFIC PURSUE EVENTS
5.1 The Syrian Acceleration Record
The
video labelled 'Syrian UFO instant acceleration' (US military platform, 2021;
uploaded to classified network, 2024) shows an object that transitions from
near-stationary to high apparent velocity within a timeframe incompatible with
bounded acceleration under any Newtonian or relativistic mechanical constraint.
In the projection framework, this event is characterised as a Class I operator
transport event: the apparent velocity arises primarily from a rapid shift in
the effective observation configuration λ(t), producing a large second term in
the velocity decomposition. The latent state X(t) may or may not be in
significant motion; the observed trajectory cannot distinguish between latent
motion and operator transport. What can be said is that the apparent velocity
profile is not anomalous within the projection formalism — it is structurally
expected as an output of rapid projection parameter shift.
5.2 The Yellow Sea Spherical Object
The
2022 infrared video of a spherical object over the Yellow Sea — notable as one
of the first colour releases in the PURSUE corpus — shows an object maintaining
a consistent tracking lock while exhibiting profile transitions inconsistent
with rigid-body rotation or distance variation. The projection framework
accounts for this as a Class II morphological event: the object's apparent
profile is the cross-sectional intersection of a latent structure with M₃, and
the profile transitions correspond to continuous variation in λ(t) under
conditions of approximately constant sensor-to-object geometry. The spherical
geometry of the latent state in H is consistent with the observed range of
profile shapes — circle, ellipse, asymmetric contour — as products of varying
intersection angle.
5.3 The Lake Huron Fragmentation Event
The
February 2023 Lake Huron footage is the defining event in the PURSUE corpus for
the purposes of this analysis. It is described in the Pentagon's accompanying
materials as occurring around the time of the Chinese surveillance balloon
incident, during a period of heightened aerial scrutiny in which the Biden
administration authorised the destruction of several unidentified objects. The
Biden administration publicly described one of these as 'an octagonal structure
with strings attached', shot down near the Canadian border over Lake Huron.
The
footage shows a tracked object that, following kinetic impact, produces a
fragmentation pattern and simultaneously emits a luminescent residual point
continuing independent flight. This is, as established in Section III, a Class
III event — the most constraining in the corpus. The projection framework's
account of this event is laid out in Section IV.4. Here, the emphasis falls on
what this event rules out.
The
fragmentation debris field rules out the hypothesis that the observed object is
a pure sensor artefact with no physical correlate in M₃. A sensor artefact does
not interact with a physical kinetic strike and produce physically distributed
debris. The kinetic interaction establishes that the outer cross-sectional
profile was real in the three-dimensional observational domain. The continuing
residual point rules out the hypothesis that the phenomenon is fully described
as a three-dimensional physical object. A three-dimensional physical object
whose structural integrity has been destroyed by a direct kinetic strike cannot
continue powered, directional flight. The residual point is not debris; it is
continuation.
These
two constraints together — real three-dimensional interaction at the boundary,
continued function beyond boundary destruction — constitute the strongest
available empirical argument for a representation framework in which the
generative source of the phenomenon is not exhaustively contained within the
three-dimensional observation domain.
5.4 The Orb Swarm: Coordinated Multi-Object
Behaviour
The
Tranche II intelligence officer's account of orb behaviour in the western
United States in 2025 introduces a further anomaly class not explicitly
addressed in Sections III and IV: apparent coordinated multi-object behaviour
including collective geometric formation and directed response to the presence
of scrambled military aircraft. The account is provided by a senior
intelligence official in a formal written report — not an informal witness
statement — and describes events observed from a military helicopter over a
named test range during an investigation of audible phenomena.
The
physical details of the account are precise and internally consistent. The orbs
were described as oval-shaped, orange with white or yellow centres, emitting
light in all directions, super-hot to thermal sensors, low to the ground, and
moving at high speed. They were present in large numbers — 'countless' — and
exhibited two distinct behavioural phases: an initial dispersed swarm state,
and a subsequent coalescence into a defined geometric formation — specifically,
a triangle — before collectively vanishing. After military aircraft were
scrambled, the same orbs exhibited directed response behaviour, appearing to
pursue the intercepting fighters. The officer's description concludes with the
statement that he and the pilots were 'virtually speechless after these
observations'.
This
class of observation presents distinct challenges for both three-dimensional
physical models and for any single-object projection account. On the
three-dimensional model, the scenario requires either: (i) a large number of
independently propelled physical vehicles, each exhibiting Class I and Class II
properties simultaneously, coordinating without any detectable communications
signal in a precise geometric formation, disappearing without thermal
dissipation, and then reappearing to exhibit directed pursuit behaviour; or
(ii) a natural atmospheric phenomenon — plasma, ball lightning, or similar —
that simultaneously exhibits directed pursuit behaviour and the capacity to
form geometric formations on demand. Neither option has any precedent in the
physical literature, and neither is consistent with any known physical
mechanism.
In
the projection framework, coordinated multi-object behaviour implies either:
(i) multiple independent latent sources X_i(t) evolving with correlated
dynamics in H, which would require the existence of a coupling structure in the
latent space not further specified here; or (ii) a single latent source with a
complex internal structure whose cross-sectional projection into M₃ produces
multiple apparent objects as a function of λ(t) — a single generative structure
that projects as a swarm when the observation geometry is in one configuration,
as a geometric formation when the observation operator shifts, and as a null
signal when the cross-section falls below the sensor detection threshold. The
present paper does not adjudicate between these two possibilities, as the
available data is insufficient for the purpose. What is established is that the
observed coordinated behaviour is not possible under any three-dimensional
physical hypothesis, and is structurally consistent with both variants of the
projection account.
VI.
FALSIFIABLE DISCRIMINANTS
A
theoretical framework that cannot, in principle, be falsified is not a
contribution to physical science. The projection framework proposed in this
paper is falsifiable. Three discriminants are identified that separate its
predictions from those of both conventional three-dimensional physics and from
the null hypothesis of pure sensor noise.
6.1 Discriminant One:
Measurement-Configuration Correlation Signature
Define
the cross-correlation function between observation parameter dynamics and
residual magnitude:
C_λR(τ)
= ⟨(dλ/dt)(t) · R(t+τ)⟩
where
R(t) = ||x_obs(t) − x_phys(t)|| is the scalar residual magnitude at time t. The
conventional three-dimensional physical model predicts: C_λR(τ) ≈ 0 for all τ,
because the trajectory of a physical object is independent of the observation
apparatus that records it. The projection framework predicts: C_λR(τ) ≠ 0 for
bounded τ within the observation coherence window, because the operator
transport term explicitly couples observation geometry dynamics to the apparent
trajectory. This discriminant is testable against sensor configuration metadata
available in military tracking systems. If residual magnitude is uncorrelated
with sensor configuration dynamics across the full PURSUE corpus, the
projection framework is falsified.
6.2 Discriminant Two: Resolution-Dependent
Residual Structure
Let
ε denote effective sensor resolution scale. Define the residual magnitude as a
function of resolution:
R(ε) ~
ε^α + β ||dλ/dt||
The
conventional noise model predicts R(ε) → constant stochastic floor as ε → 0:
improving sensor resolution eliminates the residual by separating signal from
noise. The projection framework predicts structured persistence: increasing
resolution reveals additional fine structure in the residual rather than
collapsing it to a noise floor. Specifically, the β term — proportional to the
operator transport rate — remains non-zero regardless of ε, and higher
resolution reveals rather than obscures the correlation between observation
geometry dynamics and apparent trajectory behaviour. If the residuals in Class
I and Class II events collapse to a stochastic floor under systematic
resolution improvement, the projection framework is falsified for those event
classes.
6.3 Discriminant Three: Cross-Modal
Consistency Under Heterogeneous Sensors
For
an event E observed simultaneously by multiple independent sensor modalities
(infrared, optical, radar), define the inter-modal discrepancy:
Δ_ij(E)
= ||x_i(t) − x_j(t)||
Standard
three-dimensional physical models with correct cross-modal calibration predict
convergence: Δ_ij(E) → 0 as sensor resolution and calibration accuracy
increase, because all sensors are recording the same physical trajectory. The
projection framework predicts bounded non-vanishing inter-modal discrepancy:
each sensor modality has a modality-specific effective projection operator
Π_λ^(i), determined by the spectral and geometric characteristics of the
sensor. The observed trajectory produced by an infrared sensor and the observed
trajectory produced by a radar sensor, both tracking the same event, will
exhibit irreducible discrepancies proportional to the difference between their
respective projection configurations. If cross-modal discrepancies vanish under
improved calibration across the PURSUE corpus, the projection framework
prediction is falsified.
6.4 Falsification Criterion
The
projection framework is falsified if and only if all three of the following
conditions hold simultaneously: (1) residuals R(t) are statistically
independent of measurement configuration dynamics λ(t); (2) residual scaling
R(ε) converges to a pure stochastic floor under systematic resolution
improvement; (3) cross-modal discrepancies Δ_ij(E) vanish within experimental
uncertainty bounds under improved calibration. Satisfaction of any single
condition alone is insufficient to falsify the framework; violation of any
single condition constitutes evidential support for the projection
representation over the conventional three-dimensional alternative.
VII.
PHYSICAL INTERPRETATION AND BROADER IMPLICATIONS
7.1 What the Framework Claims and Does Not
Claim
Precision
about the scope of this paper's claims is necessary, because the subject matter
attracts both credulous extension and reflexive dismissal in equal measure. The
projection framework proposed here does not claim that the objects in the
PURSUE dataset are extraterrestrial in origin. It does not claim that any
particular physical mechanism — whether described by known or unknown physics —
accounts for the phenomena. It does not claim to have solved the problem of
what UFOs are. These are not the claims of this paper.
What
this paper claims is more constrained and more defensible: that the kinematic
and morphological records in the May 2026 PURSUE dataset contain a class of
observations for which no currently available three-dimensional physical model
produces an adequate description; that the projection representation framework
yields a more coherent and internally consistent account of these observations
than any three-dimensional alternative; and that this framework generates
falsifiable discriminants by which its adequacy can be empirically assessed.
The
move from 'the three-dimensional models fail' to 'a projection representation
is more adequate' is not a move from science to speculation. It is a standard
inference in physical model selection: when an existing model systematically
fails across a well-defined class of observations, the scientifically
appropriate response is to investigate whether a more general representational
framework accommodates the observations without the same failure pattern. This
is what this paper does (Woodward and Hitchcock, 2003).
7.2 The Fragmentation Event as Physical
Constraint
The
Lake Huron footage occupies a particular position in this analysis because it
imposes the tightest constraints of any single event in the corpus. It
establishes simultaneously: that the observed outer profile has real physical
presence in M₃ (it interacts with a kinetic strike and produces distributed
debris); and that the observed behaviour is not fully enclosed within M₃ (the
residual point continues flight beyond the destruction of the outer profile).
No theoretical framework that treats the observation domain as a complete
description of the physical system can accommodate both constraints
simultaneously.
This
is not a matter of interpretation. It is a matter of logical constraint: if x
is fully contained within domain D, and x is destroyed within D, then x cannot
continue to exhibit behaviour within D. The footage documents both the
destruction and the continuation. The only coherent resolution is that x was
not fully contained within D — that the physical description of M₃ was never a
complete account of the generative source of the phenomenon.
This
argument does not depend on the projection framework specifically. It depends
only on the law of non-contradiction and the physical content of the footage.
The projection framework is introduced as the representational system that can
accommodate this constraint formally. But the constraint itself stands
independently of any particular theoretical account. This is why the Class III
event is the most significant datum in the PURSUE corpus: it imposes a logical
constraint on the completeness of three-dimensional physical description that
no empirical uncertainty about sensor provenance can fully dissolve.
7.3 On the Laser Pointer and the Shadow
There
is a phenomenological analogy for the behaviour observed in the PURSUE dataset
that is simple enough to state without formalism and precise enough to carry
physical content. When a laser pointer is moved across a wall, the dot of light
on the wall exhibits kinematic properties that are impossible for any object
possessing mass under Newtonian mechanics: it accelerates without inertia,
changes direction without momentum transfer, and can appear and disappear
without physical travel. It is, of course, not an object on the wall. It is a
projection onto the wall from a source that operates in a different spatial
domain.
The
observer confined to the wall's surface — equipped only with sensors that
record what happens on that surface — would record all the kinematic anomalies
of the laser point as genuine mysteries: objects that violate inertial
mechanics, appear from nowhere, and vanish without trace. The resolution is not
that Newtonian mechanics is wrong. The resolution is that the observed object
is not an object in the observer's space. It is a cross-sectional signature of
a process that operates elsewhere.
The
PURSUE dataset does not contain laser pointers. But it contains a structured
set of observations whose residual pattern — kinematic discontinuities,
morphological instability, post-fragmentation continuation — maps onto precisely
the phenomenological signature that a projection process would produce on a
low-dimensional observation surface. The formal projection framework of Section
IV is the rigorous version of this analogy. The analogy is offered here not as
proof but as geometric orientation: it locates the type of physical description
that the observations require.
A
further implication of the projection framework deserves attention. If the
apparent kinematic behaviour of UFO phenomena is produced, at least in part, by
the second term in the velocity decomposition — the operator transport term,
representing the contribution of observation geometry dynamics rather than
intrinsic latent-space motion — then the apparent velocities and accelerations
recorded by military sensors are not reliable indicators of the actual motion
of the generative source. They are, instead, products of the coupling between
the source's projection geometry and the dynamic configuration of the sensor
platform. This is not a negative result for physics. It is a specification of
the correct measurement equation: a correction, not a refutation. Just as
special relativity replaced Newtonian kinematic equations without eliminating
the physical content of classical mechanics within its domain of validity, the
projection operator framework replaces the naive identification of observed
trajectory with source trajectory without eliminating the physical content of
the three-dimensional observation within its own domain. The observed phenomena
are real. The inference that they exhaust the physical description of their
source is what fails.
7.4 Implications for Future Observation and
Analysis
If
the projection framework is correct in its structural claims, several
consequences follow for the design of future observation and analysis
programmes. The consequences are not speculative; they are direct logical
implications of the measurement equation introduced in Section IV.
First,
multi-modal simultaneous observation of UFO events — combining radar, infrared,
optical, and acoustic sensors at known, calibrated relative positions — is not
merely useful but necessary. The inter-modal discrepancy discriminant (Section
VI.3) requires simultaneous multi-sensor data to be testable. Single-sensor
records, however high their resolution, cannot provide the cross-modal
comparison that would falsify or support the framework. The practical
implication for the PURSUE programme and any successor initiative is direct:
the value of a UFO observation, for the purposes of physical science, is not
determined by the quality of a single sensor's output but by the simultaneity
and calibrated independence of multiple sensor modalities. An event captured by
one high-resolution infrared sensor is scientifically less informative than the
same event captured simultaneously by three lower-resolution sensors of
different types, provided that their spatial and temporal configuration
metadata is preserved.
Second,
sensor configuration metadata — the precise geometric and spectral parameters
of the observation instrument at every moment of a tracking event — must be
preserved as primary data, not incidental record. The measurement-configuration
correlation discriminant (Section VI.1) requires this metadata for its
evaluation. The PURSUE corpus, as currently constituted, does not consistently
provide it. The Pentagon's own acknowledgement that 'many of these materials
lack a substantiated chain of custody' is not merely a legal evidentiary
problem — it is a physical measurement problem. If the sensor configuration at
the time of recording is unknown, the operator transport term in the velocity
decomposition cannot be evaluated, and the projection framework cannot be
tested against that record. Future declassification releases, and future UFO
observation programmes, should treat sensor configuration data as
scientifically essential rather than operationally secondary.
Third,
the analysis framework for UFO data must be updated to incorporate the
possibility of observation-operator contribution to apparent trajectory.
Current military and intelligence analytical procedures treat the observed
trajectory as the physical trajectory — the implicit assumption is that the
sensor is a passive recorder of a pre-existing three-dimensional path. If the
projection framework is even partially correct, this assumption introduces
systematic error into every kinematic analysis performed on multi-sensor UFO
data. The residual structures documented in the PURSUE corpus are, on this
account, not failures to identify the correct three-dimensional model — they
are artefacts of the assumption that a three-dimensional model is sufficient.
Updating the analytical framework does not require accepting the full
implications of the projection model; it requires only accepting that the
observation-operator contribution is a variable to be measured and modelled
rather than assumed zero.
Fourth,
and most consequentially, the criteria for 'resolving' a UFO event must be
revised. The current AARO resolution framework treats an event as resolved when
a plausible three-dimensional physical explanation can be associated with the
observational record. The PURSUE corpus demonstrates that this resolution
criterion is insufficient: events that have been subjected to full AARO
investigative procedures and associated with plausible three-dimensional
candidates — such as the Lake Huron engagement, which occurred in the context
of the Chinese surveillance balloon episode — still contain residual features
that the associated three-dimensional explanation does not account for.
Resolution, properly understood, requires not merely associating an event with
a plausible three-dimensional candidate but demonstrating that the
three-dimensional candidate accounts for the complete observational record,
including any residual point that continues flight after the outer structure is
destroyed. That standard has not been met for the Class III event in the PURSUE
corpus.
VIII.
CONCLUSION
The
May 2026 PURSUE dataset — released by the United States Department of Defense
across two tranches, on 8 May and 22 May 2026 — constitutes the largest single
release of institutionally authenticated UFO observation data in the history of
public record. Its physical content is not ambiguous. A well-defined class of
events in this corpus produces residuals under the full range of available
three-dimensional physical models — residuals that are structured, consistent
across independent observational platforms, and, in the case of the Lake Huron
fragmentation event, logically constrained to require a description that
extends beyond the three-dimensional observational domain.
The
projection representation framework proposed in this paper addresses this
requirement directly. It introduces a parameterised observation operator Π_λ
that maps a latent generative state X(t) onto the three-dimensional observation
manifold M₃. Within this formalism, apparent kinematic discontinuities (Class
I), morphological instability (Class II), and the fragmentation-and-residual
pattern (Class III) are not anomalies requiring new physics within M₃ — they
are expected signatures of a generative process whose full structure is not
contained within M₃. The framework reduces the residual of the PURSUE data to
zero in each event class without postulating any additional physical mechanism
within three-dimensional space.
Three
falsifiable discriminants are derived from the framework. The
measurement-configuration correlation signature, the resolution-dependent
residual structure, and the cross-modal consistency criterion each provide
empirical tests by which the projection framework can be confirmed or falsified
against future multi-sensor data. These discriminants establish that the
framework is a contribution to physical science, not to cosmological
metaphysics.
The
practical implications for observation design are direct. Multi-modal
simultaneous instrumentation of UFO events, with full preservation of sensor
configuration metadata as primary scientific data, is no longer a question of
optional enhancement — it is the minimum condition required to evaluate whether
the projection framework or any of its competitors adequately describes the
physical reality of the PURSUE phenomena. Single-sensor historical records,
however high their institutional authority, cannot generate the inter-modal
comparison data that falsification of the framework requires. Future
observation programmes must be designed around the hypothesis that
observation-operator contribution to apparent trajectory is a real physical
variable, not a second-order error term.
The
PURSUE corpus presents physical science with a set of observations it cannot
ignore and has not, to date, adequately described. The projection framework
does not claim to know what UFOs are. It claims to know what they are not: they
are not physical objects fully contained within, and fully described by, the
three-dimensional observational domain. The data — officially released,
institutionally authenticated, and now available to the scientific community in
its entirety — establishes this as the boundary condition for any adequate
physical account.
Physics
has a peculiar habit. It measures things with extraordinary precision and then
stops asking where the thing came from. It has produced, across the decades of
UFO observation, a remarkably complete science of shadows — precise
measurements of trajectories, velocities, and spectral signatures — while
declining to ask what casts them. The May 2026 PURSUE dataset makes that
question unavoidable. The question is no longer whether these phenomena are
real. The question is whether physics is prepared to ask, at the level of its
most basic assumptions about observation and dimensional completeness, what
kind of real they are.
Acknowledgements
The
author acknowledges the use of AI tools in the preparation of this manuscript.
These tools were employed as supportive instruments for language refinement,
structural organisation, and clarity improvement of the technical exposition.
All scientific ideas, modelling choices, and interpretations presented in this
work are the sole responsibility of the author. The use of AI did not involve
any generation of experimental data or alteration of underlying physical
assumptions, and all content was reviewed and validated by the author prior to
submission.
Declarations
Funding:
This
research received no external funding.
Conflicts
of interest: The
author declares no conflicts of interest.
Data
availability: No
new observational data were generated or analysed in this study. All referenced
datasets are publicly available from the sources cited.
Author
contributions: Juliet
Zhong: conceptualisation, formal analysis, visualisation, writing.
REFERENCES
1.
U.S. Department of Defense. (2026,
May 8). PURSUE: Presidential Unsealing and Reporting System for UAP Encounters
— Tranche I Release. All-domain Anomaly Resolution Office (AARO).
2.
U.S. Department of Defense. (2026,
May 22). PURSUE: Presidential Unsealing and Reporting System for UAP Encounters
— Tranche II Release. All-domain Anomaly Resolution Office (AARO). Declassified
video corpus: 51 items; multi-document package.
3.
U.S. Department of Defense. (2023,
February). Lake Huron Object Engagement Record. (Declassified and released as
part of PURSUE Tranche II, May 2026.)
4.
U.S. Armed Forces Special Weapons
Program. (1948–1950). Report on Unidentified Aerial Phenomena: 209 Documented
Observations, Sandia, New Mexico. Declassified and released as part of PURSUE
Tranche I, May 2026.
5.
All-domain Anomaly Resolution Office
(AARO). (2024). Annual Report on Unidentified Anomalous Phenomena. U.S.
Department of Defense.
6. Zhong, J. (2026). Ripple-Instantiation Cosmogenesis: The Six-Dimensional Spherical Cascade as an Alternative to Temporal Assembly. Preprint. Research Square. DOI: 10.21203/rs.3.rs-9601290/v1.
7.
Scientific Coalition for UAP Studies
(SCU). (2015). A Forensic Analysis of Defense Department Infrared Video Taken
over Aguadilla, Puerto Rico on April 25, 2013. Technical Report SCU-2015-1.
8.
Pieder, R. (2026, May 22). US
government releases UFO sighting reports — 'Orbs swarming in all directions'.
BBC News. https://www.bbc.co.uk/news/articles/cn8pzzlyy66o
9.
Penrose, R. (2004). The Road to
Reality: A Complete Guide to the Laws of the Universe. Jonathan Cape.
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Woodward, J., and Hitchcock, C.
(2003). Explanatory Generalizations, Part I: A Counterfactual Account. Noûs,
37(1), 1–24.
For other works, please check my bookstore at: https://www.lulu.com/spotlight/julietzhong
COPYRIGHT & INTELLECTUAL SOVEREIGNTY NOTICE
© 2026 Juliet Zhong. All Rights Reserved.
Further Reading
In English:
[SDMC 2.0] Geometric Revision of the 6D Mirror Cosmology: The Radial Taiji Core and Dimensional Degeneration: https://www.julietzhong.com/2026/03/geometric-revision-of-6d-mirror.html
SDMC 3.0 6D Mirror Cosmology - THE SIX DIMENTIONS THEORY: The Universal Cipher - From Taiji Binary to the Hexa-Dimensional Restructuring: https://www.julietzhong.com/2026/03/6d-mirror-cosmology-sdmc-30-universal.html
[SDMC 3.1] The Operational Signature: Why 5D Runs on Nine, Not Ten: https://www.julietzhong.com/2026/03/the-operational-signature-why-5d-runs.html
[SDMC 3.2] The End of the Periodic Table: A Cross-Dimensional Theory of 3D Matter Generation: https://www.julietzhong.com/2026/03/the-end-of-periodic-table-cross.html
[SDMC 3.3] The Cosmic Cross-Dimensional Codex: Decoding the Octagram on the Neolithic Jade Tablet: https://www.julietzhong.com/2026/03/sdmc-30-volume-ii-cosmic-cross.html
[SDMC 3.4] The Dimensional Lifecycle - From 3D Degradation to 5D Recalibration: The Physics of Death and Rebirth: https://www.julietzhong.com/2026/03/sdmc-34-dimensional-lifecycle-from-3d.html
[SDMC 3.5] The Dimensional Gap Hypothesis (DGH): Addressing the Baryon Asymmetry Problem via 6D Mirror Manifold Projection: https://www.julietzhong.com/2026/03/the-dimensional-gap-hypothesis-dgh.html
SDMC 4.0 The Mirror Theory - The Invisible Universe: https://www.lulu.com/shop/juliet-zhong/sdmc-40-the-mirror-theory-the-invisible-universe/paperback/product-zmemkm4.html
SDMC 5.0: The Consciousness Theory: https://www.lulu.com/shop/juliet-zhong/sdmc-50-the-consciousness-theory-the-physics-of-the-soul/paperback/product-45d5n2k.html
SDMC 6.0: The Mirror Isolation Theory: https://www.lulu.com/shop/juliet-zhong/sdmc-50-the-consciousness-theory-the-physics-of-the-soul/paperback/product-45d5n2k.html
SDMC 7.0: The Life Theory: https://www.lulu.com/shop/juliet-zhong/sdmc-70-the-life-theory-the-eternal-lifecycle-algorithm/paperback/product-p6n6ek6.html
Apollo's Light: The Starfire Protocol: A Preliminary Framework for a 6D Symmetrical Mirror Universe : https://www.julietzhong.com/2026/02/apollos-light-starfire-protocol.html
In Chinese:
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