Coherence · Personal letter

Michio, we agree on the opening premise —
let's find exactly where we part ways.

spectrumofeverything.com/for-kaku/ · by Marald Bes

Long before I knew what theoretical physics actually looked like from the inside, I watched you explain it. You were one of the voices in the documentaries that first introduced me to string theory and to the higher-dimensional language it works in — work that helped shape how I started thinking about the universe. I'll be honest: I've always approached string theory with some scepticism and I'm not fully convinced by it — but I do see real overlaps with where my own thinking ended up, and that tension is part of why this letter exists. Most recently I started watching your conversation on The Diary of a CEO — I'm only partway through, but what I've seen so far is interesting enough that I thought I'd write this page now rather than wait.

Hyperspace was the book that made me realise theoretical physics is really a search for the right language for reality — not just a refinement of old equations. The God Equation made me understand why Einstein spent forty years on unification: once you see the universe as fundamentally harmonic, it becomes very hard to accept that the harmony is accidental. I've been building a framework for twenty-five years around the same intuition you articulate in string theory: the universe is a symphony of vibrations.

We share that premise almost word for word. What I want from you is the place where you'd break my framework — because that's where I'll learn the most. The disagreements between our approaches are more interesting than the agreements.

Where we stand on the same ground

The overlap — explicitly stated

Kaku

"The universe is a symphony of vibrating strings — particles are notes, the laws of physics are harmonies, and the mind of God is cosmic music."

Coherence

First pillar: Reality = oscillations, not particles. All interaction = modulation. All observation = resolution through the Planck grid.

This isn't a superficial resemblance. String theory's central claim — that the "particle zoo" dissolves into vibrational modes of a single entity — is the same move I make when I say chemistry, gravity, and consciousness are all modulatory phenomena at different frequency scales. We both reject particle primacy. We both bet on resonance as the deep structure.

The framework: three pillars, 3+1 dimensions

The framework is called Coherence. Three pillars: Frequency (mass is a stable grid-configuration produced by wave interaction — the electron's zitterbewegung at ω = 2mc²/ℏ ≈ 1.55×10²¹ rad/s is the direct numerical bridge), Modulation (all physical interaction is cross-frequency modulation — Feynman diagrams are modulatory schemas: f_e ± f_γ), and Resolution (the Planck grid as the universe's hard upper frequency limit — 1.855×10⁴³ Hz — making renormalization's infinities a non-problem rather than something to be regularised away).

Crucially: I stay in 3+1 dimensions. No compactified Calabi-Yau manifolds. No supersymmetric partners. The Planck scale is not the entry point for extra dimensions — it's the pixel size of a discrete grid that IS the fabric.

Aspect String Theory (Kaku) Coherence (Bes)
Fundamental entity 1D vibrating string Oscillations in a discrete Planck grid
Dimensions required 10 or 11 3+1 (grid provides discretisation)
Renormalization Still required; strings soften UV divergences Not needed: Planck freq. = hard upper bound
Dark matter SUSY partners (lightest neutralino) Stable energy states between c and c² velocity threshold
Gravity Closed-string spin-2 graviton mode Emergent carrier wave; σ+π̂ split (GFT anchor)
Particle masses Free parameters (landscape ×10⁵⁰⁰ vacua) Compton λ = h/mc as grid-configuration onset
Experimental test LHC SUSY signatures (absent so far) 41 numbered predictions with explicit ❌ conditions

The claim I'd hand you first

§2.3 · Category B · ⚠️ Open

Dark matter as stable energy states between c and c²

Layer L2 · Formal anchor: Q-balls / non-topological solitons (Coleman 1985)

String theory's primary dark matter candidate is the lightest supersymmetric partner — a WIMP with a specific cross-section signature. LHC Run 3 and direct-detection experiments (XENONnT, LZ) have placed severe constraints. My framework predicts a different mechanism: stable field configurations (formally: non-topological solitons stabilised by a conserved Noether charge — Coleman's Q-balls) that are electromagnetically neutral, gravitationally active, and high-density. They cannot decay into lighter particles because the charge is conserved; they pass through ordinary matter because they carry no EM coupling.

The formal four-property match (EM-invisible, gravity-sensitive, high-density, penetrates matter) already exists in the literature under Q-ball/Fuzzy DM/Strangelets. The Coherence claim is that these are the dominant form, not a minority candidate. This is testable: gravitational microlensing surveys (Roman Space Telescope) can constrain compact-object dark matter down to 10⁻¹² M☉ — right in the mass range this predicts. If that survey returns a null result at the predicted mass range, the prediction fails.

View full prediction list with falsification conditions →

The bold claim: renormalization becomes unnecessary

This is the claim you'll most want to break. In QFT, loop integrals diverge because momentum integrals run to infinity. String theory's string length softens those UV divergences — a profound result, and one of string theory's genuine achievements. My claim is different: the Planck frequency (1.855×10⁴³ Hz) is a hard physical upper bound on oscillatory modes, not a mathematical regularisation device. If that's true, UV divergences aren't a problem to be regulated — they simply never arise, because no physical process can exceed the grid's sampling rate.

Falsification condition

If any physical process is confirmed to require momentum modes above the Planck frequency — or if a mathematical proof shows that a discrete Planck grid cannot reproduce the observed scattering amplitudes of QFT without infinite-dimensional completion — this claim fails. I'd want your assessment of whether current QFT calculations already rule this out, or whether it remains an open structural question.

Predictions I've already publicly stamped as wrong

Methodology matters more than ego. One prediction is publicly ❌ falsified; another is ⚠️ partial with the ordering confirmed but the residual claim not detected. Both are marked with timestamps and verbatim source quotes.

❌ FALSIFIED · #32

RF 1.3 MHz bird magnetoreception — falsified by Schwarze et al. 2016 (Mouritsen lab, double-blinded). Stamped with date and verbatim quote.

⚠️ PARTIAL · #38

Compton ordering confirmed (R²=0.80); magic-number residuals not detected (Mann-Whitney p=0.29). Core ordering holds; specific residual claim failed.

I know what you're thinking: "This is string theory with different vocabulary."

The surface resemblance is real. Here's where the structure genuinely differs — four points I'd want you to pressure-test:

1

No extra dimensions — a testable commitment

String theory requires 6 or 7 compactified extra dimensions. Coherence predicts none are needed: the Planck grid provides discretisation within 3+1. If Coherence is right, no KK-tower signatures will appear at any energy scale. If string theory is right, they should. That's a divergent empirical prediction, not a vocabulary difference.

2

The landscape problem becomes a non-problem

String theory's 10⁵⁰⁰ vacuum landscape is a consequence of free compactification choices. A discrete Planck grid in 3+1 has no free compactification — the grid geometry is fixed by ℏ, c, and G. Particle masses aren't vacua choices; they're Compton-frequency onset thresholds. This is a structural claim that makes specific predictions absent from the landscape.

3

LHC SUSY null results are relevant here

Every supersymmetric partner that hasn't appeared at LHC energies is a constraint on string theory's dark matter sector. My dark matter prediction (Q-ball type solitons) has a completely different signature — no SUSY partners, no WIMP cross-sections, compact-object microlensing instead. Roman Space Telescope will test one; the other remains unconstrained.

4

The L1/L2/L3 classification is explicit about formalism

Every claim in the framework carries a layer tag: L1 = peer-reviewed formal anchor, L2 = structural analogy with cited literature, L3 = speculative. The string theory comparison (GFT σ+π̂ split, Q-balls, Verlinde emergent gravity) is marked L2. I'm not claiming to have derived the Standard Model — I'm claiming structural analogies that are falsifiable.

Three questions I'd want to ask you directly

1. Does the LHC SUSY null result update your confidence in string theory's dark matter sector?

You've said string theory predicts superpartners. Run 3 has essentially closed the natural SUSY window. I'd want to know how you're interpreting that — is the landscape sufficient rescue, or does it change the theory's empirical status?

2. Is the Planck length a minimum length or a minimum resolution?

In string theory, the string length sets the UV cutoff but isn't exactly the Planck length — and compactification introduces new length scales. In my framework, the Planck frequency is the hard grid resolution. These are structurally different commitments. Where do you locate the distinction?

3. If a Theory of Everything cannot predict particle masses from first principles, does it qualify as complete?

You've noted that string theory's landscape means we can't yet predict the electron mass from pure theory. The Coherence framework claims the Compton relation λ = h/mc connects mass directly to grid-configuration onset frequency — not a derivation, but a structural bridge. Would a derivation of the electron-to-proton mass ratio from a discrete grid count as the kind of progress you'd recognise?

What I'm actually asking

"We share the opening line of the same symphony.
I'd like to know where you think my score goes wrong."

Not a lecture request. Not a debate about string theory vs. alternatives. One specific structural disagreement — dimensions, renormalization, or dark matter — and your sharpest reason why the Coherence approach fails there. If you can break it, I want it broken in public.

For the record

Personal framework — not established physics. Disclaimer on /about/.