The essays are generally illustrative and explanatory regarding the merits of mathematics in physics. My essay is more illustrative than explanatory. Smolin's is more explanatory with little of the illustrative maths, focusing on the logic of premise and of thesis/hypothesis.
But Smolin's main proposition is illogical.
Smolin puts forth the following "to define temporal naturalism."
2. The inclusive reality of time: All that is real or true is such within a moment, which is one of a succession of moments. The activity of time is a process by which novel events are generated out of a presently existing, thick set of present events. There are no eternal laws; laws are subsidiary to time and to a fundamental activity of causation and may evolve. There is an objective distinction between past, present and future.
Smolin apparently says that the 'universe' evokes temporal laws (his FAS) that emerge when new physical realities emerge, such that, in sum, all laws are accordingly short-term temporal laws that evolve. Outright it can be seen that his idea contradicts itself.
Smolin's proposition that "there are no eternal laws" is itself a law that Smolin propones. Since his proposition is that the laws are temporal, then, if this law is functional, it implies that his proposition negates itself in time; when the law's term ends, the implication would be that of the return to the idea of eternal laws.
Thus, Smolin's main proposition is illogical. And he does not show any mathematics with a generalized scope that illustratively supports his proposition.
In contrast, my idea is that the universe replicates and establishes its parts as predicated by eternal laws that govern its progression from the infinite past towards the infinite future; it changes only in conformity with eternal laws; it looks generally the same since it abides by the same eternal laws predicated according to the premise that the observer (i.e., the universe) always existed in essentially the same complete form.
To illustrate and support my view, I presented the genesis formula that implies an infinitely hierarchical kinematic cosmos instead of a cosmos from a singularity; it indicates that mass and energy are kinetic constructs; and it explains the eternal nature and origin of gravity.
I identified two fundamental essences of change, two fundamental currents or flows (flux) or processes. They are motion and duration. As fundamental processes, motion and duration proceed in a unison of phenomenon and noumenon.
Duration is the CONSTANT essence of change, because there is no other flow that interacts with the duration process. Duration (time) flows uninfluenced by anything else.
Motion is the VARIABLE (transformable) essence of change, because motions interact with other motions and get accelerated.
I have put forth that motions, including light, may be transformed upon interaction with other motions. And the velocity of light is simply the reference velocity by which the transformations are 'measured'. The c=wf formula suggests that the wavelength w and frequency f may change, while the velocity c is simply the referenced threshold for the effected motion transformations.
When the mass or energy variables are substituted into the transformation equations, the genesis formula is derived and it indicates motion being transformed into the cosmic mass and energy observables; and the suggestion is that these observables may be perpetually preserved in their existence as part of an eternal and infinitely hierarchical kinematic cosmos.
In sum, the genesis formula contradicts Smolin's idea of evoked FAS and temporal laws, because the genesis formula implies an eternal and infinitely hierarchical kinematic cosmos.
The only way to discredit the propositions of the genesis formula is by falsifying or disproving its mathematics and logic... I doubt that anyone can successfully do that.
The indifferent and idiotic may of course simply ignore or ridicule or becloud the merits of the genesis formula. But the astute will make pertinent comments.
I await Smolin's comments (among others'), since I sort of challenged his view and he represents a sector of establishment science...
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And since we are at FQXi, I'd like to respectfully challenge the great FQXi minds like Tegmark, Aguirre, Greene, Susskind, Randall, Carroll, Turok, Hawking, Guth, Linde, Weinberg, Rees, Tong, Randall, Wilczek, Levin, Silverstein, Wolfram, Seager, Hooft, and etc., to try to falsify the mathematics and logic of the genesis formula. Let's see if that can be done successfully.
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