What if space, time, and matter are not where physics begins — but what a deeper web of relations leaves behind?
Abdulaziz Abdi/Toronto/Working draft 0.9.33/2026
Begin
I — The premise
Remove the stage, and see what is left.
For a hundred years, physics has staged the world inside a smooth continuum of space and time — a fixed arena on which fields ripple and particles move. The arena is assumed. Everything else is placed upon it.
IRMT asks a more unsettling question. What if the arena is not fundamental at all? What if space, distance, geometry — even the passage of time — are not the ground floor of reality, but patterns that emerge from something more primitive underneath?
The proposal is austere. At the bottom there are no coordinates, no distances, no particles. There is only a discrete web of events, related to one another by nothing more than order — which came before which — and the information carried along the links between them. From the statistics of that web, the theory contends, the familiar universe must be reassembled.
II — The primitive picture
Four things, and nothing more.
The substrate is built from a small vocabulary. Its discipline is that each piece is defined precisely, and none of it presumes the world it is meant to explain. The labels we attach to events are bookkeeping only; physics is whatever survives when the labels are scrambled.
𝒞
Events
A set of primitive happenings. Not points in space — just occurrences, without position or identity of their own.
≺
Causal order
A relation of before-and-after. It never loops, it carries through, and between any two events lie only finitely many others. This is the seed of time.
𝓗
Fibers
Each event carries a small quantum state space — a finite bundle of complex information attached to it, the raw material of matter and charge.
U
Transports
Along each link, a rule carries information from one fiber to the next without loss. How that rule twists around a closed loop becomes force and geometry.
Trace the smallest closed loops in the web — the theory calls them causal diamonds — and compare the two ways information can travel around them. The mismatch is a single number that does not depend on how you labelled anything. Out of such mismatches, IRMT argues, the curvature of spacetime and the forces of nature are supposed to appear.
III — From relations, a universe
Five ways the world must be recovered.
If everything familiar is emergent, then every familiar structure has to be earned back — derived as a large-scale, statistical pattern of the network, not smuggled in by hand. IRMT divides that labour into five sectors. Each map below is generated from the audit ledger itself: a chain of what is assumed, what is proved, and where the argument still has to travel.
How to read the maps
Arrows — the kind of link between two steps
Green — derived. A step proved inside the theory.
Orange — foundational bridge. An assumption the route rests on.
Blue — construction. A definitional or structural link between objects.
Grey — imported theorem. A result borrowed from established mathematics.
Purple — open route. A link not yet secured; the work still ahead.
Red — empirical test. A prediction confronted with real data.
Boxes — the status of each step
Blue — substrate. The relational starting point.
Green — derived result. Established within the theory.
Teal — observable. A measurable quantity or target.
Cream — input or candidate. Supplied to the construction.
Purple — open problem. Not yet secured.
Red — empirical target. A prediction to be checked against data.
Grey — imported bridge. Carried over from external results.
01
The Quantum sector
Where quantum probability comes from — and why the correlations between distant measurements can be strong, but not arbitrarily strong. Alongside the ceiling itself, the Born rule now has a route of its own: rank-one weights extended to rank-general projectors, then to full effects and mixed states. What remains open is the last step down — deriving the update axioms from the substrate rather than assuming them.
FIG. 01 — Quantum-sector dependency map. Coherence route, operational probability route, and the Born-weight and update-rule stack.
02
The Gauge sector
The forces of nature as the twisting of transports around loops. A second route now runs beneath the first: from two austere axioms, a minimum five-dimensional carrier, a balanced 3|2 split, and from there a charge lattice, one anomaly-free family, and a unique Higgs representation. The observed group SU(3)×SU(2)×U(1) remains a target rather than a result, and chirality selection is still open.
FIG. 02 — Gauge-sector dependency map. Transport and the Wilson action, the native carrier route to a single chiral family, and the chiral-measure controls.
03
The Gravity sector
Gravity as geometry, and geometry as counting. This is now the most developed sector, not the least. An independent coframe, a Palatini elimination of the connection, and one jointly varied action yield exact finite Ward and Bianchi identities and a local recovery of Einstein–Cartan gravity. The whole structure closes on a single number — and that number is still measured, not derived.
FIG. 03 — Gravity-sector dependency map. Coframe and Palatini route to local Einstein–Cartan recovery, closing on a single measured normalization anchor.
04
The Matter sector
Why the electron, muon, and tau have the masses they do — and why the quarks are harder. The charged-lepton construction closes on its own declared domain, through the Koide relation and a stationary phase. The quark problem has since been moved: mass is no longer read off a pole but is the restricted Hessian of one common action, and the next gate is to build that operator in its retarded form. Nothing numerical is claimed here.
FIG. 04 — Matter and flavor dependency map. Charged-lepton closure, complete-record history geometry, and the constrained compatibility-Hessian gate.
05
The Cosmology sector
The universe as a growing network, and a testable fingerprint. The background now follows from the same coframe action — Friedmann and Raychaudhuri equations, and exactly two tensor polarizations travelling at the speed of light. The large-angle suppression survives as one bounded signal from a calibrated kernel, not a derived prediction; the routes that promised more were closed by the program itself.
FIG. 05 — Cosmology and CMB dependency map. Background and perturbations, the locked coherence kernel, and the gates that remain.
IV — An honest ledger
The rarest thing here is the bookkeeping.
What sets this program apart is not a bold claim but a refusal to make one loosely. Every statement in the specification wears a tag declaring exactly how much it is worth — whether it is a definition, a proven theorem, an imported result, a number from a computer, an educated guess, or an open problem. Failed approaches are not deleted; they are kept on the record so no one wanders down them twice.
The result is a document you can audit. For any conclusion, a reader can ask: what was assumed, what was proved, what was merely fitted — and what still has to be done.
[THM]Proved exactly, inside its declared construction.
[DEF]A definition or axiom — assumed, not shown.
[EXT]Imported from established mathematics or physics.
[NUM]A numerical result, tied to a specific computation.
[CONJ]A conjecture — expected, but not yet earned.
[OPEN]An open problem, stated as a precise gate to clear.
Working progress estimate, by sectorLedger 1.1.12
Specification, audit and governance80–85%
Mature control architecture; freeze work remains.
Gravity90–95%
Theoretical and structural gate passed conditionally; empirical validation and a parameter-free coupling remain open.
Primitive ontology and kinematics50–60%
Definitions coherent; physical selection and uniqueness open.
Matter and charged leptons45–50%
Strong effective construction; microscopic source and protection open.
Quantum sector35–40%
Conditional theorem stack; full effect, probability and preparation derivation open.
Generic gauge geometry30–35%
Transport and holonomy valid; observed gauge content not selected.
Cosmology15–20%
One bounded signal; kernel and dynamics not substrate-derived.
Complete microscopic dynamics10–15%
No unified microscopic action.
These are the working ranges recorded in the ledger, not measurements. The program deliberately declines to publish a single headline number: recent releases note that overall percentages are left unrecalibrated, because a sector can advance a long way without any gate actually closing. By the program’s own binary standard the number of completed sectors is still zero. That candor is the point.
What is claimed
—A coherent kinematics: a single, precise language for the substrate.
—Exact theorems inside their declared constructions.
—A conditional route to quantum probability and its ceiling.
—Negative controls that rule out several tempting shortcuts.
—A register of falsifiable signatures to test against.
What is not
×A derived gauge group of the Standard Model.
×A completed theory of gravity or of cosmology.
×Any dimensionful constant of nature, derived from first principles.
×An unconditional, standalone prediction — yet.
×A finished theory of anything. It is a program in progress.
V — The corpus
Sixteen papers, eight records, one frozen core.
The papers came one at a time, and each was a test — a result proposed, attacked, and, where it failed, revised or retired in the open. Read in order, Papers I through XVI are the trail of how the theory reached its present form. What they arrived at is gathered, corrected, and kept current in the Core Specification: the single authoritative statement of the theory. The papers show the road travelled; the specification is where it now stands.
I
Information Relational Manifestation Theory
II
Quantum Correlations & Gauge Structure from a Discrete Relational Substrate
III
The Relational Dirac Operator & the Problem of Generations
IV
The Emergence of Gravitation & the Einstein–Hilbert Action
V
Relational Cosmology
VI
The Measurement Problem as Relational Consistency
VII
Closing the Gravitational Sector
VIII
A First-Principles Derivation of the Koide Formula
IX
Closing the Program: Structural Architecture & Open Problems
X
From Spectral Universality Failure to Spectral Self-Organization
XI
The Koide Configuration in IRMT — Reachability
XII
Rank-One Collapse & the Emergence of Hierarchy
XIII
Koide Stabilization from Deficit-Gated Entropy
XIV
Finite Relational Coherence & the CMB Large-Angle Deficit
XV
Charged-Lepton Masses from Rank Collapse & Determinant-Line Holonomy
XVI
The Microscopic Origin of Determinant-Line Holonomy
Supporting the papers: Records 1–8 (the working ledgers), an archive of working notes, and a SHA-256 manifest so every claim can be traced to the exact file that carries it.
The author is not asking to be believed. He is asking to be tested — for the sharpest readers to find the weakest joints in the argument and press on them. A theory that survives that is worth something. A theory that fears it is not.
Where to press hardest
→The axioms beneath the quantum-probability route.
→The gates that protect the construction from collapse.
→The floors on manifold-likeness and chirality.
→The CMB kernel, where theory meets real data.
The Library
Every file, in the open.
The program is meant to be audited, not admired. What follows is the whole paper trail — the frozen specification, sixteen papers, eight working ledgers, and the note archive — each traceable through a SHA-256 manifest to the exact file that carries its claims.
The core document
IRMT Core Specification v1.0
Primitive structure, microscopic dynamics, observables, and evidentiary status — the single auditable statement of the theory as it presently stands. Working draft 0.9.33, release QREV-2026-08-15-20.
Best read in sequence. These are a progressive record: each paper tested the one before it, and the theory evolved through whatever survived. They document how the framework was built — not where it now stands. The current, authoritative statement is the Core Specification above; the papers are its evidence trail, not a substitute for it.
I'd genuinely like to hear from you — whether you're a physicist, a curious reader, or just someone who enjoys turning a big idea over in their hands. Questions are welcome, and so is agreement. But if a step in the reasoning looks shaky to you, tell me: a careful objection is the most useful gift you can send, and I read those first. No credentials required — only curiosity and honesty.