About
Built on exact physics
D3 Framework is a research platform built on nine exact results in black hole information geometry, derived independently by Bharat Sharma at PhenexAI Research in Vancouver, Canada.
Central result (Paper 3): The total information-geometry displacement over complete Hawking evaporation of a black hole equals exactly the Schwarzschild radius — R_total = r_s — with all constants cancelling. This holds in all spacetime dimensions d ≥ 4.
The research series
Starting from a single formula — the D3 displacement per bit of Landauer erasure — nine exact results were derived over six months:
P1 · 10.5281/zenodo.20502577
D3 formula + Planck coincidence
D3(T_P) = 2·ln2·l_P exactly
P2 · 10.5281/zenodo.20535347
Kerr spin-suppression
f(χ) = 2√(1−χ²)/(1+√(1−χ²))
P3 · 10.5281/zenodo.20548070
Evaporation invariant
R_total = r_s — all constants cancel
P4 · 10.5281/zenodo.20549627
Kerr evaporation invariant
R_total = f(χ)·r_s
P5 · 10.5281/zenodo.20549980
Quantum gravity boundary
M_QG = m_P·√(ln2/8π)
P6 · 10.5281/zenodo.20561229
RN charge-suppression
g(q) = 4√(1−q²)/(1+√(1−q²))²
P7 · 10.5281/zenodo.20563756
KN master formula
h(χ,q) = 4σ/(2(1+σ)−q²)
P8 · 10.5281/zenodo.20564313
All dimensions
R_total = r_s for all d ≥ 4
P9 · 10.5281/zenodo.20567233
AdS correction
R_total = r_s·(1+(r_s/L)²)
Timeline
Jan 2026
D3 formula derived — Paper 1 submitted to Zenodo
Feb 2026
Kerr extension — spin suppression factor f(χ)
Mar 2026
Central result — R_total = r_s proved exactly (Paper 3)
Apr 2026
Papers 4–7 — Kerr, QG boundary, RN, KN master formula
May 2026
Papers 8–9 — all dimensions, AdS correction
Jun 2026
D3 Framework launched — web calculator, API, Python library
About the researcher
Bharat Sharma is an independent researcher based in Vancouver, BC, Canada. He conducts physics research under PhenexAI Research while working as an Operations Supervisor. The D3 series was developed entirely independently, without institutional affiliation or funding.
The research was motivated by a simple question: what is the total geometric cost of erasing all the information in a black hole? The answer — that it equals exactly the Schwarzschild radius — emerged from applying the Landauer principle to Hawking evaporation.
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