We consider extended spiking neural P systems with the additional possibility of so-called “white hole rules”, which send the complete contents of a neuron to other neurons, and we prove that this extension of the original model can easily simulate register machines. Based on this proof, we then define red–green variants of these extended spiking neural P systems with white hole rules and show how to go beyond Turing with these red–green systems. We also discuss the number of actor neurons needed, and the relation of this model to some special variants of Lindenmayer systems.

中文翻译：

---

具有白洞规则及其红绿色变体的扩展尖峰神经P系统。

我们考虑了带有额外的所谓“白洞规则”的扩展尖峰神经P系统，该系统将神经元的完整内容发送给其他神经元，并且我们证明了原始模型的这种扩展可以轻松地模拟寄存器机。基于此证明，我们然后用白洞规则定义这些扩展的尖峰神经P系统的红绿色变体，并说明如何通过这些红绿色系统超越图灵。我们还将讨论所需的演员神经元数量，以及该模型与Lindenmayer系统某些特殊变体之间的关系。