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ZENODO
Preprint . 2026
License: CC BY
Data sources: ZENODO
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
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Paper MDE v1.1

Register-Transfer Specification of the Master Dynamics Equation — Typed Sectors, Boolean Wave Dynamics, and the Phase Accumulator Throttle
Authors: Kapitanov, Fedor;
Abstract

Paper MDE v1.1 provides the complete Register-Transfer Level (RTL) specification of the Master Dynamics Equation (MDE) of Ontological Resolution Theory (ORT). Each carrier node holds a 133-bit state register decomposed into two typed sectors: an 83-bit potential sector (P) carrying topological phase structure, and a 50-bit actual sector (A) carrying executable amplitude. Both sectors obey the discrete Boolean d'Alembertian over F_2, with the actual sector receiving a topological source term h(P) from the potential sector. Key results: (1) Actual-sector update rule: the A-sector obeys a P-modulated F_2 wave equation — the discrete Boolean d'Alembertian with potential-sector source term. This is the exact F_2 analogue of the sourced wave equation □A = J, where J = h(P) is a topological current density. (2) Phase accumulator throttle: carrier throttling is implemented by a purely integer carry register that realizes the canonical ORT throttling relation Theta_i = K_cell / (K_cell + rho_i) exactly, using only integer addition and comparison. No division. No floating-point arithmetic. The accumulator is proven to be unconditionally T-invariant: the active/throttled state of any past tick is recoverable from the carry register value alone, without storing additional flags (carry = K implies throttled). (3) Full single-tick microcode: the complete RTL specification of one tick for one node is given as a deterministic sequence of approximately 2000 Boolean operations. All operations are Boolean or integer. Zero floating-point arithmetic inside the tick loop. (4) Reversibility: Branch 1 (standard evolution) is proven perfectly reversible. Branch 2 (Node Genesis) is intentionally irreversible, modeling asymmetric cosmic file growth. (5) Boolean d'Alembertian: both sectors are shown to implement the discrete F_2 wave operator — the exact Boolean analogue of the relativistic d'Alembertian □ over the FCC graph. The specification is directly implementable in CUDA/C++ or FPGA/ASIC synthesis. Memory per node: 26 bytes. A 16M-node simulation fits in 416 MB of GPU memory. Part of the ORT Canon corpus. Canon version: v31.1. Supersedes: Paper MDE v1.0.

Keywords

reversible computation, discrete d'Alembertian, boolean wave equation, RTL specification, deterministic universe, cellular automaton, master dynamics equation

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
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