Lower Bound on the Computation Needed to Simulate a Bounce Patch Exactly

This paper examines what it would cost, at minimum, to simulate a bounce patch exactly rather than approximately. The calculation is performed in a frame with a finite maximum density, the neutron-branch value rho_A = 9.718e+57 kg per cubic metre, with the electron branch at 2.874e+51 kg per cubic metre for comparison. Headline results include a bounce temperature of 3.278e+22 K, a Landauer cost at that temperature of 3.137e-01 J per bit against 2.871e-21 J per bit at 300 K, a Bekenstein allowance of 1.049e+94 bits for the stated centimetre reference region, and a Margolus-Levitin rate of 2.209e+103 per second for the same region. The logarithm of the dimension for the reference patch is of order 1e94 in base ten, placing exact simulation beyond any finite machine that obeys the same bounds. All numbers are computed from the stated assumptions in the accompanying script; the study is simulated and computed, not measured.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-11
DOI
https://doi.org/10.5281/zenodo.24133885
Primary Topic
Computability, Logic, AI Algorithms
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
NOV
article

Lower Bound on the Computation Needed to Simulate a Bounce Patch Exactly

William Alexander Aldred
Zenodo (CERN European Organization for Nuclear Research)
Computability, Logic, AI Algorithms
article

Lower Bound on the Computation Needed to Simulate a Bounce Patch Exactly

William Alexander Aldred
article en

Abstract

This paper examines what it would cost, at minimum, to simulate a bounce patch exactly rather than approximately. The calculation is performed in a frame with a finite maximum density, the neutron-branch value rho_A = 9.718e+57 kg per cubic metre, with the electron branch at 2.874e+51 kg per cubic metre for comparison. Headline results include a bounce temperature of 3.278e+22 K, a Landauer cost at that temperature of 3.137e-01 J per bit against 2.871e-21 J per bit at 300 K, a Bekenstein allowance of 1.049e+94 bits for the stated centimetre reference region, and a Margolus-Levitin rate of 2.209e+103 per second for the same region. The logarithm of the dimension for the reference patch is of order 1e94 in base ten, placing exact simulation beyond any finite machine that obeys the same bounds. All numbers are computed from the stated assumptions in the accompanying script; the study is simulated and computed, not measured.

Zenodo (CERN European Organization for Nuclear Research)
Computability, Logic, AI Algorithms
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Laika access coming soon