A New Map of Reality
THE FIVE THEORIES
The Kaplan Framework proposes a deterministic, discrete, relational universe.
No dark energy. No singularities. No exotic particles.
A universe that builds itself — from nothing.
“For a century we described what the universe does.
These five theories explain why it must do it.”
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Kaplan Model
From Cracks to Coherence
Dark matter, cosmic acceleration, quantum jumps — once mysteries,
now geometric consequences of discrete adjacency and temporal layers.
Why New Physics?
Observational cracks are not failures.
They are hints of deeper order — pointing toward a discrete, relational universe.
Problem
Dark Matter
85% of matter is invisible — and no particle found.
Resolution
Gravity leaks across Δt layers.
Matter in nearby slices is invisible but gravitationally present.
Problem
Cosmic Acceleration
Expansion accelerates without any known energy source.
Resolution
The universe is a relaxing lattice.
Empty regions stretch because tension dissipates outward.
Problem
Quantum Jumps
Particles teleport and entangle without any medium.
Resolution
Adjacency is discrete.
Motion is hopping, not sliding.
UDEL Phases — From Structure to Construct
Phase 1 The Five Theories
The Base of UDEL
Theory I
Big Bang Supplemental
The mass is on the boundary, not inside it.
The universe expands as a 3D surface.
Acceleration becomes a boundary curvature effect — no dark energy needed.
Theory II
Entangled Time
Gravity crosses layers. Light does not.
Time exists in thin stacked Δt layers.
Mass in nearby layers exerts gravity
but cannot be seen.
Theory III
The Zero-Matrix Universe
Total energy = 0.
Positive energy (mass/motion) and negative energy (curvature/gravity)
cancel with perfect precision.
The universe stores nothing — it balances everything.
Theory IV
UDEL — Discrete Energy Lattice
Motion is hopping.
Reality is discrete.
The speed of light is the lattice refresh rate.
Quantum weirdness becomes adjacency geometry.
Theory V
Genesis — The Relational Universe
Space emerges from pure reachability.
Before adjacency there was nothing.
The first excitation defines the first step.
Space is the shadow of relations.
Theory VI
Global Adjacency Closure
Escape is not forbidden. It is prevented by structure.
In UDEL, every oscillatory system remains faintly coupled to the lattice through non-zero suppressed paths.
Under global zero-energy accounting, those paths aggregate into an unavoidable drift bias — meaning permanent externalization is impossible while remaining real.
Theory VII
Non‑Factorizable Identity
Entanglement is shared identity, not correlation.
A concrete physical mechanism for entanglement in UDEL:
entangled systems are a single dense BE adjacency identity whose spatial support bifurcated before closure.
Measurement resolves one object globally — without signals, without energy transfer, without Δτ violation.
Conceptual Extension
Waves as Emergent Patterns
Continuity from discrete hops — the story we tell about energy moving through the grid.
In UDEL, waves are not fundamental entities but interpretive descriptions of coherent energy transitions across the lattice.
This resolves wave-particle duality and aligns classical/quantum phenomena under one discrete mechanism.
Conceptual Extension
Vibration – The Lattice’s Clock
Everything vibrates because the universe can only advance one permitted step at a time.
In UDEL, atomic hops require preparation. Vibration provides the oscillatory cycles that align phases and permit transitions.
The speed of light is the vacuum’s maximum alignment rate.
Time dilation emerges when motion or path density consumes alignment capacity, leaving less for internal change.
No vibration → no hop → no reality.
Phase II+
Further Constructs
Derived extensions not yet formalized.
Phase 2 does not exhaust what follows from UDEL.
Additional constructs are implied by the established structure and will be published here once their mechanisms, boundaries, and testable implications reach formal closure.
Book III • Chapter 3
UDEL: The Minimal Postulate
The single falsifiable assumption that rebuilds physics.
A concise, rigorous entry point:
nodes, adjacency, path‑density
and how gravity, QM, relativity, and cosmology
follow from one discrete substrate —
forming UDEL.
nodes, adjacency, path‑density
and how gravity, QM, relativity, and cosmology
follow from one discrete substrate —
forming UDEL.
Book III • Chapter 4
Core UDEL Mathematics
From concept to formalism: nodes, adjacency, transitions, path‑density.
The mathematical skeleton:
definitions, emergent distance/time,
curvature via path‑density,
relativistic hop limits, discrete action, and conservation.
definitions, emergent distance/time,
curvature via path‑density,
relativistic hop limits, discrete action, and conservation.
Book III • Chapter 10
The 4D Lattice and the Origin of Hidden Mass
Δτ-Slicing, Fracture at Genesis, and the Hidden Mass of the Universe.
Explores how higher-dimensional lattice structure gives rise to
apparent missing-mass effects, without invoking exotic particles,
modified gravity, or ad-hoc assumptions.
Book III • Chapter 8
Black Holes Without Singularity
Adjacency Saturation, Δt Divergence, and Information Preservation
Reinterprets black holes as regions of adjacency saturation.
Horizons arise from Δt divergence, singularities are eliminated,
and information is preserved through frozen lattice dynamics.
Book III • Chapter 5
From Path-Density to Newton and Einstein
The Four Pages That End a Century of Confusion
One rule ends the Newton–Einstein divide. Newton is the linear path-density gradient in weak fields. Einstein emerges as self-consistent geometry: conformal metric,
maximum-path geodesics, and field equations via action variation. No manifold,
no singularities, no free parameters — pure combinatorics.
Part II — Macro: Shape, Clock, and the Cyclic Universe
Chapters 5–8 • Book IV • The UDEL Construct
Football geometry • Spine strain resolution of Hubble tension • Eternal torsional oscillator cycle • Reinterpretation of DESI, JWST, BAO observables
Book IV • Chapter 5
The Football-Shaped 4D Geometry
Genesis fracture, nested Δτ slices, prolate manifold, bipolar jets
The universe is a discrete prolate (football) 4D manifold fractured along compact Δτ into nested 3D slices.
Genesis ejects matter in bipolar jets, populating hierarchical minima while preserving zero total energy. Dark matter emerges naturally as gravitational leakage from shadow slices.
Genesis ejects matter in bipolar jets, populating hierarchical minima while preserving zero total energy. Dark matter emerges naturally as gravitational leakage from shadow slices.
Book IV • Chapter 6
Spine Strain and the Hubble Tension
Time-variable expansion as vibration clock misread under torsional strain
Spine strain σ(t) from counter-rotating arms narrows phase-alignment windows, reallocating the lattice update budget toward separation hops.
This produces continuous acceleration drift — early slow (CMB-like), late fast (local measurements) — resolving Hubble tension geometrically, without dark energy or new fields.
Book IV • Chapter 7
Eternal Cyclic Recoil
The torsional oscillator universe — expansion turns to recoil and rebound
Strain cannot grow indefinitely under E_total = 0. At σ_max the bias flips: outer-first cascade collapse carries black holes inward as saturation knots, followed by origin rebound into new jets and fracture —
a perpetual cyclic geometry with no heat death.
a perpetual cyclic geometry with no heat death.
Book IV • Chapter 8
Reprocessing Observations Through the UDEL Lens
DESI, JWST early galaxies, BAO phase residuals as strain-clock artifacts
Late-time acceleration (DESI), unexpectedly mature high-z galaxies (JWST), and BAO phase anomalies are unified as directional, strain-dependent clock drift signatures — not separate tensions requiring patches, but fingerprints of the football topology and update reallocation.
Part I — Micro: Identity, Waves, and Quantum Structure
Chapters 1–4 • Book IV • The UDEL Construct
Dense BE motifs as particles • Waves as path permissions • Non-factorizable quantum identity • Bell violations as proof
Book IV • Chapter 1
Particle Identity from Dense BE Motif Geometry
The origin of charge, mass, attraction, repulsion, stability, and annihilation
Particles are stable dense BE motifs, not primitives. Mass is cycle completion resistance, charge is winding orientation, attraction/repulsion is adjacency optimization, annihilation is closure incompatibility, stability is geometric survivability.
Book IV • Chapter 2
Waves as Emergent Interpretations
Why interference is not a thing — but a structure
Waves are maps of permitted adjacency continuations, not fundamental fields. Interference is path competition, collapse is pruning, double-slit shows multi-path permission without commitment until constraint.
Book IV • Chapter 3
Quantum Structure: The Non-Factorizable Identity
Entanglement as shared identity, not correlation
Quantum effects from non-factorizable motifs spanning loci. Superposition is multiple continuations, measurement enforces closure globally without signals. Rejects independent objects for relational structure.
Book IV • Chapter 4
Bell’s Theorem as Proof of Non-Factorizable Identity
Bell violations reject factorizable rulebooks — identity precedes locality
Bell tests confirm shared identity across separation. No spooky action: global closure without transport. No-signaling because entanglement is constraint, not channel. Includes CHSH derivation and QM-UDEL translation.
Book IV • Interlude
Everything Vibrates — The Lattice’s Clock
Discrete universe advances through oscillatory alignment
Vibration is the mechanism for hop permissions in discrete lattice. c is max vacuum alignment rate, time dilation from alignment competition. No vibration → no updates → no reality.
Read the Complete Theory
Volume I
The Zero-Matrix Universe
“The missing page of physics.”
The foundational four theories: Big Bang Supplemental, Entangled Time, Zero-Matrix,
and UDEL. A complete architecture for gravity, motion, and cosmology.
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Volume II
UDEL Genesis
“The universe that built itself.”
The origin of adjacency, the emergence of the discrete lattice,
and gravity as path density — a fully relational model.
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Volume III
Void Engineering
“The Discrete Architecture of Reality.”
The technical backbone of the Kaplan Framework —
the intrinsic rules that define motion, curvature, adjacency,
lattice refresh, dimensional emergence, and the ultimate geometric
foundation of the universe.
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Volume IV
The UDEL Construct
From Micro to Macro: Engineering Reality
The capstone of the Kaplan Framework — bridging microstructure to macrostructure.
Particles as dense motifs, gravity as path-density geometry, entanglement as unbreakable identity,
cosmology as a budgeted lattice. Reality becomes engineerable: the vacuum is negotiable substrate.
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Press Kit
Downloads
Documents
Theory Sheets
Accessible Explanations
Coverage Angles
- Unified explanation for dark matter — no new particles
- A zero-energy universe built from canceling structures
- Discrete quantum motion with deterministic adjacency
- Gravity as path density, not curved spacetime
- Constructive physics with testable predictions
- A relational emergence model of space and time
Paradoxes
- Schrödinger’s Cat — not a paradox
- A simple explanation to Fermi Paradox
- Why is Time Travel impossible
Conceptual Notes
- Lookback Time Is Not Emission Distance
- Universe Near Its End: Recoil Phase & Cyclic Reset
The Architecture of Reality
A one-page diagram unifying the entire Kaplan Framework —
from relational origins, to the emergence of adjacency, to the full UDEL lattice.
A complete snapshot of how nothing becomes everything.
