标题： 彭罗斯模型势能，与早期宇宙标量演化科尔曼-温伯格势能相比 显示英文标题

标题： Penrose Model potential, compared with Coleman-Weinberg Potential for early universe scalar evolution

摘要： 我们概述了彭罗斯博士的循环宇宙模型，去掉了依赖于黑洞在长期膨胀阶段后收集物质的大挤压，该大挤压起源于最初的宇宙大爆炸。 我们确认他在讲座中提出的建议演化方程满足从真空中出现五夸克场的要求。 我们试图就如何通过霍金辐射来研究他关于物质/能量有争议的保形映射提出一些建议，这一映射涉及来自潜在无限数量的黑洞到新的宇宙大爆炸。 这就是他的“池塘中的涟漪”效应，我们认为这非常不寻常但值得认真研究和调查。 显示英文摘要

摘要： We present an overview of Dr. Penrose's model of a cyclic universe, minus the big crunch which relies upon black hole collection of matter after an a long term expansion phase from an initial big bang . We affirm that the suggested evolution equation presented at his lecture for his model meets requirements as to an emergent quintessence field from a vacuum state . We try to offer suggestions as to how to investigate his controversial conformal mapping of matter/energy via Hawkings radiation from a potentially infinite number of black holes to a new big bang. This is his 'ripples in a pond' effect which we find highly unusual but worth serious study and investigation.