Unitary Information Conservation in a Discrete N-Body Manifold: A Computational Application of the Bandyopadhyay-Cycle

The black hole information paradox highlights a
fundamental incompatibility between the continu-
ous kinematics of general relativity and the uni-
tary constraints of quantum mechanics. Standard
computational N-body simulations exacerbate this
paradox through floating-point rounding errors and
non-conservative friction variables. This paper de-
tails a discrete, hardware-accelerated computational
framework designed to model gravitational collapse
and Hawking evaporation with absolute informa-
tion conservation. We introduce a tripartite state-
transition loop—the Bandyopadhyay-Cycle—which
tracks discrete information microstates across a ki-
netic bulk, a holographic horizon, and an ambient
vacuum. The model integrates the Mathur Fuzzball
paradigm, Planck quantization, and ER=EPR entan-
glement topology. Furthermore, spatial clustering is
regulated via a discrete pixel-repulsion constant, and
orbital decay is governed exclusively by the classi-
cal quadrupole approximation for gravitational wave
emission. Over a simulated baseline run tracking
103 discrete microstates, the manifold demonstrated
100% information conservation, offering a determin-
istic toy-model for mapping continuous spatial decay
to discrete equivalence sets without unitarity loss.