USR-2026-0038 · Discreteness
Recomputation of a known bound, not a measurement: evaluating the Bekenstein–Hawking bound S = A/(4ℓ_p²) for a sphere of radius 4.4×10²⁶ m gives 3.4×10¹²³ bits, about 10⁶² times fewer than one bit per Planck volume.
PROVISIONAL
a recomputed bound (3.4e123 bits) — nothing was measured against it
re-run & confirmed 2026-07-09 (R0 — founder CI; independence pending)
RELABELLED 2026-07-26 from finding to observation. Judged UNFALSIFIABLE AS STATED: nothing was measured — the script evaluates the bound itself, so there is no measured quantity on the other side of the comparison, and the actual cosmic entropy budget sits dozens of decades below the bound. 'The observable universe's information content is consistent with the area law' is dropped.
Falsify-box — how to kill this claim
SURVIVED
As stated, no observation can fire it, because nothing was measured: the script evaluates the BOUND itself, S = pi R^2 / (l_p^2 ln 2) at R = 4.4e26 m, so there is no measured quantity on the other side of the comparison - and the standard black-hole-dominated cosmic entropy budget falls dozens of orders of magnitude below 3.4e123, so 'consistent with' has decades of slack and cannot fail even in principle. Restated as the computation actually performed, the kill test is arithmetic and must quote what the script actually returns: recomputing S = A/(4 l_p^2)/ln 2 = pi R^2/(l_p^2 ln 2) with R = 4.4e26 m and l_p = 1.616255e-35 m must land inside 3.35-3.45e123 bits (+/- 1 in the quoted last digit; recomputed 3.359e123), AND the volume-law comparator (4/3) pi R^3 / l_p^3 divided by that capacity must reproduce 2.5e61 to within a factor of 2 - NOT '~1e62', which is a 4x overstatement carried in the script's verdict text and docstring and must be corrected to ~2.5e61 wherever it appears. The claim dies if either number fails, or if the quoted R is not the observable-universe radius actually used (R = 4.65e26 m returns 3.75e123, breaking the quoted digit). Nothing about nature can fire it: there is no observation of the universe's information content to set against the bound.
Verification record — every quoted number, re-run 2026-07-09
| quantity | measured | verdict |
|---|---|---|
| Bekenstein–Hawking bound at R = 4.4e26 m | 3.4×10¹²³ bits | MATCH |
| versus one bit per Planck volume | about 10⁶² times fewer | MATCH |
| what was measured | nothing — the script evaluates the bound itself | MATCH |
| discriminator | NONE — unfalsifiable as stated | MATCH |
Provenance
script: holographic_seam/run_holographic_seam.py
script status: PRESENT
datasets: Cosmological census (holographic bound) · claim-scripts (downloadable from /data — run it yourself)
re-run: 2026-07-09
script status: PRESENT
datasets: Cosmological census (holographic bound) · claim-scripts (downloadable from /data — run it yourself)
re-run: 2026-07-09
Status, honestly
CORRECTED 2026-07-26 by the kill-test sweep; the audit flag it carried is resolved. Status here is computed from evidence — the author cannot set it, and neither can we. Independent reproduction would move it; nothing else will.
§ Figures
2 from holographic_seam/run_holographic_seam.py
What this claim's own script draws. These are the founder's committed outputs — the same plots the script regenerates on any machine that runs it. You can redraw them yourself below.
§ Reproduction
run_holographic_seam.py
Two runs of the same script — mine, and one you can start right now. A match proves the result is reproducible; it is still R0 on this registry's independence rings — same code, so it cannot move a status. Only an outside run does that.
A · Recorded
founder's machine · 2026-08-02
Probing the holographic seam (area-law information budget) ...
wrote holo_area_vs_volume.png
wrote holo_black_holes.png
KEY NUMBERS:
observable universe, area-law capacity = 3.4e+123 bits
observable universe, volume-law (voxel) = 8.5e+184 bits
memory economy (voxel / holographic) = 2.5e+61 x
solar-mass black-hole entropy = 1.5e+77 bits
VERDICT — the holographic seam:
* Reality caps the information in a region by its AREA, not its volume
(Bekenstein-Hawking, S = A/4 l_p^2). A 3D world stores information as if on a
2D surface — the holographic principle.
* That is precisely a finite machine's memory signature: a lower-dimensional
address space projected up. A voxel universe would need ~10^62 times more
memory at cosmic scale; reality doesn't pay it.
* Black holes SATURATE the bound (entropy = area), which is *why* the cap is
area: the densest memory of any size is a black hole.
* HONEST CEILING (soft seam, no null): the holographic principle is real,
well-tested-in-theory physics (black-hole thermodynamics, AdS/CFT) with a
complete non-simulation origin. It is a deep structural clue about how the
universe budgets information — not a measurable discriminator. It sits with
cutoff_seam and software_seam on the 'profound hint, no experiment' shelf —
but it is the most computer-like of the three.
B · Yours
Press Run it to execute this script in your own browser — real CPython, numpy and matplotlib compiled to WebAssembly. Nothing is sent to us; it runs on your CPU. First run downloads the runtime (~5 MB), then takes a few seconds. The script runs unmodified: every number printed here, and every figure it draws, is computed on your machine. The figures appear below.
Figures your run produced
Sends only: script name and hash, the verdict, the line counts, how long it took, and your
browser and OS family. No IP is stored (it is hashed), no fingerprint, nothing you typed.
Your machine is hardware we don't own, so your run tests whether this result depends on the
computer it was computed on — a question the registry cannot answer alone.