The hundred-and-twenty-two-order disagreement I cannot resolve
A lattice budget and a holographic budget for the same horizon, differing by a hundred and twenty-two decades. One of them has to give.
DPH
86 posts.
Why a monolithic machine cannot do this
Detecting novelty across N branches costs N log N with signatures rather than N squared with full states. The architecture is forced, not preferred.
How many facts fit in a causal past
One event per Planck four-volume gives a number with two hundred and forty-four digits, and it caps what a simulation can honestly render.
The Copenhagen–Everett Bridge
New preprint. Copenhagen and Everett have been treated as competitors for seven decades, with the Born rule as the wedge between them. This argues a conservation law removes the wedge.
Identical universes are worthless
The harvesting theorem: a homogeneous multiverse returns O of log N bits regardless of how many branches you run. Heterogeneity is mandatory.
The instanton exponent was hiding in plain sight
A numerical coincidence I could not explain turns out to be the standard exponential suppression with the coupling pinned by the central charge.
S_dS over pi squared replaced a number I made up
The derived capacity of the horizon, and the fraction of the holographic budget the old numerology was quietly using.
How many operations does the universe get?
Two times the energy times the time, divided by pi hbar. Applied to a horizon, with three independent bounds agreeing.
Varney's Law, derived rather than assumed
A logistic term from preferential attachment on a finite pool, a quadratic term from obsolescence, and a fixed point that matches a simulation to a tenth of a per cent.
Two ways past a plateau, and only two
Get a better theory, or get data from different physics. The second one is the entire justification for the machine.
The floor under the plateau
When the truth sits outside your model class the rate still dies, but at a level set by your framework rather than your effort.
The plateau theorem
If the truth is in your model class, discovery decays to zero and the total budget is finite. Stated, proved, and demonstrated.
Novelty is a compression measurement
Replacing a formula involving agents and rule-set complexity with something you can actually compute: a description length.
Why I publish my own corrections
Fourteen retractions in one archive is unusual. Here is the argument for treating them as the most useful thing on the site.
A leakage probability that exceeded one
An exponential that is not a probability, blowing up to ten to the twenty-seven at a modest input. The fix is in the archive.
A thin-wall instanton that gave exactly one
Three factors of the same scale cancelling, so that a suppression of ten to the minus sixty-four came out as a third.
The one over ten nobody could derive
A single coefficient that stood between a formula and a match, and where it came from, which is nowhere.
A phase picked after the answer was known
The primordial phase was presented as fixed by modular data. The channel and the prefactor were chosen to give pi over six.
Yukawa ratios that fit nothing
Two ratios built on unspecified factors, disagreeing with the observed values by factors of two and five.
A table of quantum dimensions that summed wrong
A list of numbers I believed because I never added them. The correction was integers all along.
A rate that could not equal itself
Setting an expansion rate equal to a replication rate, differing by a factor of ten to the fifty-eight.
Ten to the fourteen point five
A four-tier renormalisation cascade that misses its target by fourteen and a half orders of magnitude, with fitted exponents all the way down.
The efficiency I solved for instead of deriving
A divisor described as exact, which was in fact reverse-engineered from the measurement it was meant to predict.
Nineteen over eighteen should have been ten over nine
A trigonometric sum that I bracketed correctly and then added up wrongly, in the same equation.
a-zero: the formula that did not give its own answer
A critical acceleration whose stated formula evaluates to sixty-six per cent above the value claimed for it.
An exponent that missed by forty-nine orders of magnitude
The worst single error in the programme, and the odd comfort that it was caught by its own printed arithmetic.
The 12 pi that was not 12 pi
An identity I presented as independent confirmation, which is really a definition with a missing factor of omega lambda.
I chose the exponent to make the number come out
N_hor = D_C to the power 72. Neighbouring exponents move the answer four decades. Nothing selected 72 except the answer.
Cold tests: killing your own result first
Running the pipeline on synthetic nulls and known answers before touching real data, because surprise is not evidence.
How to read a claim that carries a status badge
A short guide for readers of this archive, so that a benchmark is never mistaken for a derivation.
Prediction, fit, and numerology are three different things
The distinction that this programme kept blurring, and the checklist I now use to keep them apart.
Minimum description length as a theory-selection principle
Prefer the theory that compresses the data and pays for its own parameters. It is Occam with an invoice.
Auditing your own theory with a second model
Pointing a different agent at your own framework and telling it to recompute every number from the printed formulas.
Preregistration for theory
Writing down the falsification threshold before running the analysis, so that a null result still counts.
What a no-go theorem actually buys you
A closed door is a result. Three of the strongest outputs here are proofs that something cannot be done.
Status labels as a discipline
Six labels, applied to every claim. The most useful thing in this project is not a result, it is a habit.
Paper 7a: baryogenesis, withdrawn
Baryogenesis built on a Lagrangian that had already been withdrawn. Archived with the rest.
The gauge coupling ratios, withdrawn
A no-go that was correct but was written up as a derivation. Archived.
Paper 17: the computational multiverse
The newest paper, and the one that stopped leaning on the topological sector. Seven derivations that hold whatever happens to the rest.
Paper 16: the competing avenues
An honest map of everyone else working on many worlds, gravity and simulation evidence, with falsification criteria for each.
Paper 15: holographic noise as a spectral shape
If the substrate has a discreteness scale, it has a noise spectrum. Deriving the shape is the testable part.
Paper 14: could a lab see this?
Blinded protocols for surface codes and matter-wave decoherence, written before any data exists.
Paper 13: leakage as a transmission problem
Asking the same question as Paper 3 but inside a slab of topological field theory, where the answer is either zero or one.
Paper 12: the unification paper, and what it is allowed to claim
The synthesis of the whole architecture, now carrying a status label on every single entry.
Paper 11: structure growth, withdrawn
Another archived paper, and a note on why archiving beats deleting.
Paper 10b: model comparison as the honest test
A likelihood pipeline built so that the framework can lose. That is the point of building it.
Paper 10a: inflation from branch nucleation, withdrawn
A clean idea with no mechanism behind the number it produced. Archived rather than deleted.
Paper 10: a feature in the primordial spectrum
The claim that a phase is fixed by modular data, why that claim is weak, and the standard mechanism that supplies it instead.
Paper 9b: neutrinos and a baryon asymmetry I cannot yet derive
A two-parameter fit that predicts the neutrino mass sum, followed by a leptogenesis claim that does not survive substitution.
Paper 9: the flavour pipeline
Yukawa couplings from fusion data. Where it fits, where it fails by a factor of two, and the Clebsch factors nobody derived.
Paper 8: anomaly cancellation and three generations
Arithmetic that genuinely works, and the part of it that turned out to be standard GUT normalisation wearing a costume.
Paper 7: the anyon Standard Model, and why it was withdrawn
The most seductive idea in the programme: build the Standard Model from four anyons. It did not survive.
Paper 6: rotation curves from a very long-range mode
A condensate at 10 to the minus 28 metres cannot explain galaxies. Add a horizon-set collective mode and it can reach them.
Paper 5: the cosmological constant, twice wrong and now partly right
Two retractions, one derived capacity, and one exponent that matches to three parts in a hundred thousand.
Paper 4: gravity as an emergent connection
Plebanski BF theory, a mass gap from the category, and the honest gap between BF and general relativity.
Paper 3: the psi field and where leakage comes from
The boundary permeability field, its instanton suppression, and the physical parent it was missing until recently.
Paper 2: the two-level architecture
An observer inside a branch sees conserved information. The substrate manages many branches. Keeping those two levels apart is the hard part.
Paper 1: novelty as an exact resource theory
Making novelty a monotone rather than a slogan, so that no free operation can manufacture it.
Paper 0: why three dimensions and a time
What the dimensionality argument actually establishes, which is admissibility rather than optimality, and why the difference matters.
Superselection: realities that do not talk to each other
The stronger and more standard way to get many worlds: separate sectors of one theory, rather than extra branches.
Two-part MDL codes, concretely
Model cost plus residual cost, with a polynomial fit you can reproduce, because the whole plateau argument runs on this.
CHSH in one page
The inequality, the two numbers, and the one-line consequence for anyone proposing a classical computational universe.
Why third-order interference must vanish
A three-slit experiment that would break quantum mechanics if it did not come out zero, and what that forbids for this programme.
Causal sets in five minutes
Spacetime as a growing set of events rather than a stage. The only approach here with both a measure and a dynamics.
Kolmogorov complexity for people who write code
The shortest program that outputs your data. Uncomputable in general, measurable in practice, and the reason I reach for a compressor.
Preferential attachment on a finite pool
Where the logistic term in a saturation law actually comes from, starting from individual researchers picking combinations.
The cotangent identity on the lens space
A classical trig sum that fixes an eta invariant, and the place where this programme made an arithmetic slip.
Lloyd, Bekenstein and Landauer agree
Three completely different arguments about how much a horizon can compute, landing on the same number. That is worth pausing on.
Two-mode squeezed states and thermal horizons
Why an accelerating horizon looks hot to anyone inside it, worked through with a covariance matrix you can check.
Instanton actions, from 8 pi squared over g squared to 4 pi squared c
The standard exponential suppression, and what happens when the coupling is pinned by a topological level.
The logistic permeability function
How to write a leakage probability that stays a probability. The fix is one line and it took an auditor to prompt it.
d_code = 64
A code distance that falls out of which anyons exist, and a caution about how I then used it.
Why the central charge is 7
Three WZW factors, three central charges, and a sum that later turns out to fix the vacuum energy exponent.
The Z6 quotient and 2t + 3n + 6Y
A one-line congruence that every Standard Model multiplet satisfies. It is real group theory, and it is weaker than it looks.
Quantum dimensions, by hand
A worked calculation with the sine formula, and why an earlier table in this programme summed to the wrong number.
Where 2592 comes from
The single number the whole framework rests on, built up from three level-k categories with nothing fitted.
Novelty flux density: the quantity the whole thing is about
Every claim in this programme is ultimately a claim about one rate. Here is what it is, and here is where the original definition went wrong.
The Copenhagen-Everett bridge
Copenhagen and Everett have been rivals for seventy years. The wedge between them is one number, and the wedge may not be load-bearing.
The Information Conservation Principle
Treat conserved information the way we treat conserved energy, and the Born rule stops being a postulate you have to swallow.
Boundary permeability: what a leak between realities would look like
If branches are computational and imperfectly isolated, the failure mode is not an explosion. It is a patterned, low-entropy glitch.
The Universe Complexity Spectrum, from Pong to cosmology
Seven classes of simulated environment, ordered by how much novelty they generate per unit of compute. The economics are counterintuitive.
The Forever Machine: what it would take to run one
A novelty-harvesting multiverse is an engineering specification, not a philosophy question. The specification has numbers in it.
Why a bounded civilization would build a multiverse
Not curiosity. If your own discovery space is finite and you need novelty, you have to get it from somewhere with different laws.
Varney's Law: knowledge saturates, and the curve has a shape
A saturated domain does not stop abruptly. It follows a double-damped curve, and later in this archive I derive where that curve comes from.
The Human Shannon Number, and Why It Is Not a Boast
Shannon counted chess games. This counts possible knowledge states. The gap between the two is the whole reason the plateau matters.
What the Discovery Plateau Hypothesis Actually Claims
The claim is narrow: bounded systems stop discovering. Everything else in the programme follows from taking that seriously.