Computing Beyond Moore's Law

Is hardware or software dominating?  Is brain inspiration and neurscience taking us beyond?   Will this form of bio-mimicry lead us beyond?  It should always be noted that the current neural algorithms are not accurate analogs to the way biological neurons work,  its a crude mimicry at best.  Will a more accurate biological work better?

Neural Algorithms and Computing Beyond Moore's Law
By James B. Aimone 
Communications of the ACM, April 2019, Vol. 62 No. 4, Page 110
10.1145/3231589

(Abstract, full text and references at the link)

The impending demise of Moore's Law has begun to broadly impact the computing research community.38 Moore's Law has driven the computing industry for many decades, with nearly every aspect of society benefiting from the advance of improved computing processors, sensors, and controllers. Behind these products has been a considerable research industry, with billions of dollars invested in fields ranging from computer science to electrical engineering. Fundamentally, however, the exponential growth in computing described by Moore's Law was driven by advances in materials science.30,37 From the start, the power of the computer has been limited by the density of transistors. Progressive advances in how to manipulate silicon through advancing lithography methods and new design tools have kept advancing computing in spite of perceived limitations of the dominant fabrication processes of the time.37   ... "