Dear Christian
Congratulations on your vocation. That is a nice badge to wear and well done for pursuing your dreams. So many people don't, or cant. So it really is great when somebody does, can.
When I refer to Big Bang as metaphysics, it isn't to suggest implausible or plausible. I use reference to metaphysics in terms of the dictionary meaning "the branch of philosophy that deals with the first principles of things, including abstract concepts such as being, knowing, identity, time, and space.
Metaphysics adds value to science with interpretation or attempted interpretation of relationships and associations. The only criticism I conveyed in my essay towards the big bang theory, is to acknowledge the limitations inherent of chance occurrences, that exist for a would be inquirer attempting to gain insight into that system or thing. Chance occurrence is a reason onto itself, that gives no clues or reasons beyond itself. I simply point out it is an undesirable circumstance for an inquirer.
You refer to evidence of big bang theory. My hope is that I don't have to argue to undermine another theory to progress discussion of an alternative. My idea presents solutions which can be evaluated on their own merits. Its natural for people to dismiss without consideration that which contradicts their beliefs. So many wont be willing to investigate my proposal. But some will and I seek those out. FQXi offers a useful platform in this respect, and I am thankful to them and those participants here who rank essays based on quality of argument, rather than depending on personal belief.
Yes, GR's dilation effects assigned as a modulation of QM force, in relative motions and relative gravitational environments. We are accustomed to visualizing the clock face as it reads variable rate of time, in different gravitational environments. But remove all clock components from mind, except the spring which issues force that drives the clock. It is the origin of cause within the clocks system. Visualize a spring floating in space. What properties and processes describe the springs character? It focuses attention on EM force, which the spring is essentially made of. So when there is a modulation effect measured in relative gravitational environments, you have to apply that consideration to the system that is before you. And that is a system of EM force. What is remarkable about this concept of "force dilation" is that its parameters are already fully mapped out. It is after all, physically attached to the clock hands which demonstrate dilation effect proportional to square of distance from mass. That simplifies considerations.
You have asked me this question
"But gravitational potential cannot be localized in GR based on Einstein's Equivalence Principle which has today a strong empiric evidence. How do you solve this issue?"
Absolutely. You are asking me about inertial mass and gravitational mass. It is a favourite consideration of mine. It is obviously central to considerations, but it is also an in-depth topic. I am wondering if and how I can do your question justice in short answer. My theory points at Gluons as the issuer of force that manifests the property of mass. (no surprises there) The key issue however is that "mass is the motivator of gravitational acceleration". This is not a big leap to make, because Gluons are just like Photons, and photons have the capacity for motion. Gluons do too by means of the same mechanism. So in answer to your question, gravitational mass is gluon directed force as motion. Inertial mass is gluons in possession of a forceful internal state (inertial mass). To alter a bodies motion state (to accelerate it) you have to alter the gluons forceful internal state. It is gluon mass that issues resistance to a body being accelerated.
Gluonic mass serves the function of both the properties of inertial mass and gravitational mass. That is why the equivalence principle centres on a common mechanism, the function of Gluons/mass. Gluons issue force as acceleration, and resistance to acceleration, because they evolved within a system for a purpose. They issue their force so as to motivate the building of cosmological structures, which are optimised for exploiting an energy potential, Auv field of space.
Thank you for the questions and the details and the link for your material. I will have a read of your essay and drop by your page with comments. In the mean time please let me know if you have further questions?
Thanks again
Steve