Topology holds. Wave is. Particle samples.
λ = h/p as Identity
Topology holds. Wave is. Particle samples.
λ = h/p as Identity
λ = h/p as Identity
λ = h/p as Identity
Standard physics sees matter as fundamental: particles exist, and they sometimes behave like waves. Mode Identity Theory (MIT) inverts this. Waves exist, and the universe samples them; particles are the realized returns of that sampling. This is not a philosophical preference; it determines which questions are even well‑formed.
Standard physics treats time as a background coordinate through which the universe evolves. In MIT, time didn’t begin; it emerged as the boundary of our domain. Time is our phase position on the standing wave. “13.8 billion years” marks where we are on Ψ(t), not how long we’ve been waiting.
Standard physics treats the observer as external to the system. MIT treats the observer as constitutive to realization: the bounded domain where the wave resolves to finite value. The observer, √Ω, marks the position at which the ratio ∞/0 yields a defined number, spanning the Hubble radius to the Planck length.
While the standard model views space as uniformly three‑dimensional, MIT sees effective dimension as scale‑dependent: the horizon scales with 2D area, not with our local perception of 3D volume. The 122‑order discrepancy of Λ is not a “coincidentally large number” but the dimensional projection from where we stand.
And while the standard model often treats the anomalies of the Cosmic Microwave Background as accidental flukes, MIT sees them as the natural projections of a single topological framework; not flaws in the cosmos, but the reflection of the first light.
Feel free to start with the Preface
and Ask ΛI about MIT.
S¹ = ∂(Möbius) ↪ S³, ∂S³ = ∅
A temporal edge (S¹) bounds a non-orientable surface (Möbius), embedded in a closed hypersphere (S³).
The venue has no boundary.Everything else derives.
ψ(y + L) = −ψ(y)
The Möbius twist enforces anti-periodicity.
This selects half-integer modes. Matter is fermionic.
Ψ(t) = cos(t/2)
Anti-periodicity requires return after two laps: Period 4π.
Cosine places maximum at origin; the universe begins at amplitude, not zero-crossing.
S³ ≅ SU(2)
The largest discrete spinor symmetry is the binary icosahedral group: |2I| = 120.
This grid is native, not imposed.
The golden ratio φ is maximally irrational.
Its convergents, the Fibonacci sequence, mark the most stable sampling positions on the 120-grid.
√Ω ≈ 10⁶¹
The bounded domain spans the cosmic horizon (10¹²²) to Planck scale (10⁰).
The IR↔UV fixed point; the observer stands at the geometric center.
A/Aₚ = (√Ω)⁻ⁿ · C(α)
A/Aₚ
Observable amplitude in Planck units
(√Ω)⁻ⁿ
Embedding dilution in manifold n
C(α) = 2sin²(πα)
Phase amplitude at α on the 120-grid
n = 1
S¹ temporal edge
the realized boundary (a₀ , H₀)
n = 2
Möbius surface
the cosmological mode Λ
n = 3
S³ venue
curvature (null dark matter)
F₇ — α = 13/120
C(α) = 0.22
F₉ — α = 34/120
C(α) = 1.21
Antinode — α = 60/120
C(α) = 2.00
a₀/aₚ
F₇ Predicted: 2.2 × 10⁻⁶²
Observed: 1.2 × 10⁻⁶²
H₀ · tₚ
F₉ Predicted: 1.2 × 10⁻⁶¹
Observed: 1.2 × 10⁻⁶¹
Λ · ℓₚ²
Antinode Pred.: 3.0 × 10⁻¹²²
Observed: 2.84 × 10⁻¹²²
(After 3/2 Geometric Cost)
Two claims separate MIT from alternatives:
a₀(z) ∝ H(z)
the MOND scale evolves with expansion.
Λ = constant
apparent w(z) variation is inference artifact.
One postulate. No free parameters.
Pre-Registered Predictions. Falsifiable October 2026.