What question did this study set out to answer?

The main aim is to derive the Bekenstein-Hawking entropy formula from principles of discrete computational geometry using the Universal Processing Law.

March 28, 2026Open Access

Universal Processing Law (UPL) Track 4: Derivation of the Bekenstein-Hawking Entropy from Discrete Pixel Geometry via the Universal Processing Law

View Full Paper

Ask AI

Bookmark

Authors

ALAhmed Lahmidi

Discussion

Member takes

Implication

This derivation reveals Bekenstein-Hawking entropy in Planck-scale geometry, suggesting new insights into black hole physics.

Key Points

The main aim is to derive the Bekenstein-Hawking entropy formula from principles of discrete computational geometry using the Universal Processing Law.
Derivation of the exact entropy formula without quantum field theory or free parameters.
Implementation of the Cascade Freeze Mechanism to analyze information at the event horizon.
Utilization of Cauchy's surface projection theorem to relate projected area to total surface area.
Computational verification on discrete voxel spheres with varying radii.
Exact formula for entropy: S = A / (4l_P^2) confirmed from computational models.
The Cascade Freeze Mechanism effectively locks one Planck bit of data at the event horizon.
Computed results converge to the expected 1/4 factor in macroscopic limits.
A prediction of finite-size lattice corrections for microscopic black holes is provided.

Cite This Study

Ahmed Lahmidi (2026) studied this question.

synapsesocial.com/papers/69c7725e8bbfbc51511e2c71 https://doi.org/10.5281/zenodo.19226664

View Full Paper

Ask AI

Bookmark

Universal Processing Law (UPL) Track 4: Derivation of the Bekenstein-Hawking Entropy from Discrete Pixel Geometry via the Universal Processing Law

Discussion

Member takes

Implication

Key Points

Cite This Study

Universal Processing Law (UPL) Track 4: Derivation of the Bekenstein-Hawking Entropy from Discrete Pixel Geometry via the Universal Processing Law

Discussion

Member takes

Implication

Key Points

Cite This Study

Also Consider

Also Consider