Pattern Field Theory reveals the universe as an intelligent, robust, and self-balancing system — coherent at every scale, adaptive in its structures, and continuously sustaining motion and resonance.
With each new concept addressed, deeper truths are uncovered, building clarity instead of contradictions. Where other frameworks often fracture under scrutiny, Pattern Field Theory strengthens, unifying physics, philosophy, and lived experience into a single unfolding architecture.
It does not bolt new assumptions onto old frameworks. Instead, it starts from the simplest possible principles and explains, quite simply, what is.
In this view, the strengths of General Relativity (GR) and Quantum Field Theory (QFT) are preserved, but their contradictions dissolve. They are not discarded, but recontextualized as partial views within a larger lattice of coherence.
For more than a century, mainstream science has barely budged. The same expert authorities whose books remain on shelves and in curriculums still dominate the conversation, even as their frameworks leave fundamental gaps unresolved. The culture of reverence has become a barrier to progress.
Understanding the universe requires us to describe reality directly. Yet we remain stuck with gatekeeping and exclusion — institutions that often deny access to truth or investigation, despite being built on knowledge first uncovered by so-called “amateurs.” Science today is too often treated like the Bible before Martin Luther translated it: locked away, instead of opened to all.
The pattern is ancient: those who hold the keys of knowledge refuse to use them, and make sure no one else can open the door either.
When those who hold the keys of knowledge refuse to use them — and actively prevent others from entering — then we must ask ourselves why. Is it protection of truth, or protection of power?
Physicists have developed different frameworks to describe how matter, energy, space, and time arise and interact. Two of them—Quantum Field Theory (QFT) and General Relativity (GR)—are experimentally verified but incompatible with each other. A third framework—Pattern Field Theory (PFT)—seeks to unify them by explaining both as emergent behaviours of a deeper underlying field.
Quantum Field Theory describes the universe as a set of quantum fields extending through space, with particles appearing as localized excitations of those fields. Interactions between particles are mediated by force-carrying bosons such as photons, gluons, and W/Z bosons. QFT has been verified to extraordinary precision and underpins the Standard Model of particle physics.
However, it does not include gravity, and when combined with General Relativity it produces paradoxes—such as non-renormalizable infinities at the Planck scale. QFT explains what exists and how it behaves, but not where structure itself originates or how it links to gravity.
General Relativity describes gravity not as a force but as the curvature of spacetime caused by mass and energy. Massive objects bend spacetime, and smaller objects follow curved paths through that geometry. GR has passed every observational test from gravitational waves to black hole imaging.
But it does not incorporate quantum mechanics, and it produces paradoxes such as singularities at extremely small scales where quantum effects dominate. GR explains the shape and evolution of the universe on large scales, but not its quantum structure or initial emergence.
Pattern Field Theory begins before space, time, matter, or energy exist, in a dimensionless meta-continuum of pure potential motion. From this pre-geometric state, motion self-captures along π-resonant paths, initiating the sequence:
motion → matter → gravity → local time → stable curvature
Matter forms when motion closes on itself; gravity is the stabilizing tension of these closed loops on the surrounding field; gravity locks local time around the structure, and together they produce stable curvature.
This first stabilization creates the Pi-Matrix and seeds the Allen Orbital Lattice (AOL)—a fractal orbital scaffold whose geometry matches real astrophysical data from Planck, WMAP, JWST and other surveys. The Big Bang was not a singularity, but a rupture of the pre-geometric field into 3D, releasing stored motion in violent, staccato bursts as the 3D lattice unfolded from embedded blueprints.
Pattern Field Theory has identified fractal windows, frames, and resets within this lattice, and these fractal structures are visible in archived astronomical imagery dating back to the 1950s. Unlike QFT and GR, which are individually successful yet contradictory, Pattern Field Theory provides a single root framework from which both quantum behaviour and spacetime curvature emerge—resolving their paradoxes by showing they are secondary effects of captured motion within one unified field.
QFT and GR remain the experimentally verified foundations of modern physics, but they are mathematically incompatible and generate paradoxes when combined. Pattern Field Theory is the only framework here that both aligns with real observational data and offers a structural resolution to those paradoxes, by showing that QFT and GR are emergent behaviours of a deeper pattern field.
Pattern Field Theory (PFT) is James Johan Sebastian Allen’s unified framework in which reality emerges from recursive pattern dynamics on the Allen Orbital Lattice (AOL)—a hexagonal closure lattice. The Allen Fractal Closure Law (AFCL) formalizes when shells close (and why perfect-number counts appear), while Resolutions of Scale™ describes how smooth and rough structure alternate across scales. Related constructs such as Pi-Resonance™ (involving π, φ, e) and prime anchoring explain cross-scale coherence from cosmology to genomics. This page preserves the original article in full and adds definitions so researchers and search engines can anchor the theory precisely to AOL and AFCL.
Unified pattern-first physics: Pi (recursive closure), Primes (disruption), Phi (emergence). Core claim: π is the universe’s boot program.
New statement: Perfect numbers are key in the unfolding of the 2nd dimension — they act as symmetry checkpoints that stabilize phase geometry as 1D recursive closure expands into the first 2D lattice.
PFT is internally coherent:
R_{n+1}=F(R_n,C_n,E_n)κ = dM/dP , κ ≥ κ_cE_stack = ∑[π·k_n + φ^n − e^{γn}]P_{3D}(x,t) = Θ(κ(x,t)−κ_c)·A²·cos²θThis makes PFT a closed, non-contradictory logical system — essential for ToE candidacy.
PFT unifies across domains, which is the whole purpose of a ToE:
This gives PFT the cross-domain reach a ToE must have.
Pattern Field Theory™ explicitly resolves 28 major paradoxes across physics, cosmology, mathematics, psychology, and logic, as documented here.
This shows explanatory power: PFT reduces paradoxes, not multiplies them.
By formal logical standards (internal coherence, cross-domain unification, paradox resolution):
Pattern Field Theory qualifies as a coherent Theory of Everything candidate.
Pattern Field Theory™ (PFT) is a new structural framework that proposes spacetime, matter, and time are not fundamental, but emergent phenomena. They arise from recursive pattern interactions within a deeper substrate called the Metacontinuum. PFT aims to unify unify physics, biology, psychology, and society through a single coherent model.
Unlike traditional “theories of everything” that stop at physics, PFT includes consciousness, meaning, and
intention as structural parts of the model. This allows PFT to unify paradoxes across scales — from
Zeno’s paradox and the black hole information problem to trauma loops and social collapse dynamics. This is not only about
unifying physics, but about unifying human experience with the fabric of the universe.
pft_master_3.9.7.json
By James Johan Sebastian Allen
The universe did not begin with “something out of nothing.”
Pattern Field Theory™ (PFT™) provides a coherent, testable alternative:
Emergence: the first birth, where Pi as the boot protocol instantiating curvature and recurrence.
Breach: the rupture of 2D closure into 3D space — the real foundation of what’s been misnamed the “Big Bang.”
Mathematical witnesses: π, Fibonacci ratios, prime numbers, and perfect numbers all align to confirm this structure.
Empirical echoes: cosmic microwave background patterns, 1950s atomic photos, fractal geometry, and Zeno’s paradox all point to the same substrate — the Pi-Matrix.
This is not speculation. It is a new Theory of Everything, unifying mathematics, physics, and philosophy into one framework: Pattern Field Theory™.
Pattern Field Theory™ is the intellectual work of Theoretical Physicist James Johan Sebastian Allen. It has been publicly published, timestamped, and recorded at various places. Any other attributions are incorrect. Allen’s publications, JSON master archives, and OpenTimestamps records from 2025 establish authorship clearly.
1 Diagram: Binary Fractal Lattice Closure for Perfect Numbers
This diagram illustrates the Allen Fractal Closure Law (AFCL) within Pattern
Field Theory™ (PFT™), where even perfect numbers are binary fractal closure
counts in the π-particle lattice. For prime p with 2
p−1 a Mersenne prime, Perfect(p) = (2p2) = 2p−1 (2p − 1) represents the total pairwise links among 2p nodes (diamonds in Differentiat™ geometry) arranged on nested rings, reflecting the fractal resonance of the Pi Matrix™ substrate.
Figure 1: Binary fractal lattice closure for perfect numbers p = 2 (6 links) and
p = 3 (28 links), with nested rings representing the π-particle lattice in PFT™.
Each ring’s total pairwise links (light gray lines) equal the perfect number, illustrating the fractal resonance and structural invariance of the Pi Matrix™ substrate. Larger p values extend this pattern, aligning with physical and biological
scales (e.g., 496 in superstring theory, 28-day cycles).
75-year-old atomic images and the Planck CMB sky show the same fractal resonance signature. Read the overview and the quantitative spectra analysis.
Atoms → Cosmos (overview) Spectra analysis (methods & plots)
| Pre-correction halo | Corrected lattice (Zeno frame) |
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| Ghost layer (Logical Layer) | Planck CMB (cosmic anisotropy) |
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Reality advances through recursive resets, preserving coherence while allowing growth.
You can only measure what is inside in reference to what it is inside. The universe has no external container, therefore its absolute size is unmeasurable.
Each environment (air, water, vacuum, gravity) prescribes what forms of coherence are permitted. Light illuminates only in gravity-sustained dominions.
π is not only a number; it is the first stable fractal closure that makes persistence, memory, and recurrence possible in the universe.
The “Master Doorway” from which universes breach into existence — a null state, a fractal doorway that permits universes to arise but in itself never can provide an external frame for their measurement.
3n+1 growth model which shows how orbital doubling and closure rules generate structural limits.
Riemann Hypothesis study, where lattice resonance is tested directly against zeta zero distributions.