Today I shall dwelve into intuitive connections between my thesis and Sheldrake's hypothesis and his way of thinking. Ofcourse you already know that my thesis combines intuitions of Leyton and Grothendieck to solve the fundamental issue of redundancy by representing a signal in a novel functorial way.
Sheldrake observes that nature is habitual and cosmic evolution involves an interplay of habit and creativity. He challenges Terence McKenna's observation "Modern science is based on the principle: 'Give us one free miracle and we'll explain the rest' by saying that one free miracle is the appearance of all the mass and energy in the universe and all the laws that govern it in a single instant from nothing."
A free miracle from my field of undergraduate (Electrical Engineering) is the basic charge creating free electromagnetic energy from nothing material (that's why they call it as source charge because its the source of free electromagnetic energy). When I observed nature I noticed that the very Sun of our solar system which sustains all the life on the earth is certainly for free not charging any money from humanity for it. Ofcourse this doesnot mean I am saying Sun is a miracle but some modern scientist are really stuck in the mindset of viewing science as commerce through materialism. They cannot get their heads around this concept arguing that nothing is for free and so continue to take the science into the direction of materialism vehemently denying the concept of consciousness and higher purpose behind evolution. Occult science is not about free miracles but precisely about those higher laws of universe which transcend our modern material science. Yet it is a divine science of inner spetenary constitution of man and certainly not miracles.
Sheldrake further suggests that regularities of nature are not imposed on nature from a transcendent realm but evolve within the universe. He says that What happens depends on What has happened before suggesting that memory is inherent in nature. It is transmitted by a process called morphic resonance and works through fields called morphic fields.
Take a look at the following figure from my thesis :
A repeated signal segment is on account of what has happened before (or in other words what Leyton calls transfer) whereas the other segments together are due to creativity . In Sheldrake's words evolution is an interplay of habit and creativity and memory is inherent in signal.
Note that this transcends the philosophy of reductionism that interprets a complex system as the sum of its parts into a philosophy of holisitic generative evolution (which is nothing but the philosophy of Theosophy that proceeds from Universal to particular in Blavatsky's own words). In other words a signal is not only the sum of its parts such as sinusoids but also has evolutionary generative structure where later signal segments are transfers of earlier ones in Leyton's language. Of-course in my thesis this points at why signal representation standards that unconsciously (or in an adhoc way as my guide used to say) exploit this underlying structure, outperform those which represent signal as sum of it parts. Quantum theory in the last century brought a revolutionary change of perspective in physics pointing towards limitations of reductionist approach which was intuited by David Bohm to develop his hypothesis of Implicate order and wholeness. The implicate order involves a kind of memory which is expressed through quantum fields.
Sheldrake's morphic fields are also born out of such a holistic philosophy. Whereas Grothendieck's argument that an arrow is more important than an object was nothing but hinting towards universal approach as opposed to the current reductionist approach of the set theory.
Grothendieck's relative approach which forms the underlying philosophy of Category theory is the mathematics for such a universal philosophy. One application is in the thesis in the context of Signal processing.
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