Dear Hrushikesh, I don't really know what is time. It is clear that it is related with the causality of concatenated events, but it is far from a response for your answer. Also, the matter as we know, exists in time and space, but this is also doubtful, because into black holes, or before the Big-Bang could be talked about these dimensions?
I have always made the following question to myself: Is the time quantized? Otherwise: A quantum of time exists? If it would be certain, a limit for energy of gamma-ray quanta must be reached, but all time I look for this limit in cosmic-ray data and never appeared. Is the time really continuous? I believe that it is not, because that quantization of energy and momentum might find an immediate explanation. The value of the light speed might be explained as a fundamental relation between quanta of space and time. The value of other constants, as Planck's would be explained.
Why the time quantum is to be so small? Is it related with the energy of the galaxy? Or with the energy of all the Universe?
The time remaining for me would not be too long for the law of life, but I hope that these ideas should be embraced by some young scientists, who could give an answer to your question. Your culture believe in reincarnation. If it is true and I could reincarnate into other been, I should be very happy that day.
My work involves developing methodology for discipline-spanning transdisciplinary understanding that enhances communication between the disciplines. To develop the methodology it is necessary to examine and compare the real-world subject matters of the various disciplines.
While using transdisciplinary methods to develop an understanding of the intrinsic nature of space, I unexpectedly came upon the basis of time in the universe.
In the universe, the form of change that is the continuing-existence of space plays all the roles that can be realistically attributed to time.
(This is the continuing-existence of space as measured by a clock, not the extension of three-dimensional space as measured by a ruler.)
Understanding how spatial-continuing-existence plays the roles of time provides the answers to the questions: What is time?, Why does time occur?, and Why does time have the specific qualities that it has?
There is a paper on ResearchGate.net and Academia.edu. titled, The Identification of the Intrinsic Nature of Time, that provides the understanding of how spatial-continuing-existence plays the roles of time.
I hope that understanding the intrinsic nature of time will be useful to you.
Regards,
Vincent Vesterby
Vesterby, Vincent. 2014. The Identification of the Intrinsic Nature of Time.
You asked: “Is time always required to describe a theory? Are there any chances to have a self- complete theory which doesn't takes time into account?”
[Preamble: In the following discussion, concepts are recognized to be mental tools that are used by the mind to achieve understanding of the world outside the mind, outside the brain. The discussion is not about concepts. It is about the reality-referents of concepts. It is not about concepts of things. It is about the things themselves. The discussion also avoids abstraction, which is something that is done with concepts. In the universe beyond the extremely limited realm of concepts there is no such thing as abstraction. Abstraction does not play a role in the universe beyond the realm of concepts.]
The answer to your question about theory depends on what the theory is about—static structure or change.
Theories that are restricted to static structure do not require inclusion of time or reference to time.
Theories about any form of change, or that include any component of change, must have, either tacitly, implicitly, or explicitly, a temporal component.
The difference between these two different types of theory is based, in the universe, on the difference between the two different types of existential-context provided by space.
Space exists as the three-dimensional extension of infinite immaterial place.
Spatial-place provides an existential-context—a place-to-be, a place in which to exist—for all else that exists.
For example, matter occupies spatial-place—it occupies the place-to-be provided by spatial-place. The three-dimensional extension of spatial-place provides an existential-context for the three-dimensional extension of matter.
Space exists, and it continues to exist. Space has continuing-existence.
Spatial-continuing-existence is a form of change, and as the continuing-existence of infinite space, it provides an existential-context for all other forms of change.
All forms of change occur in concert with the change of the continuing-existence of space. All changes occur simultaneously with the continuing-existence of the spatial-places where those changes are occurring.
For example, spatial-continuing-existence provides a place-to-occur for the continuing-existence of matter, for the temporally ongoing continuance of motion, for the changes that occur with the process of emergence, and for the changing thoughts within the mind.
Theories that are only about organization within the three-dimensional-extension of spatial-place, theories the subjects of which are limited to factors within the extensional-existential-context, do not need to have any temporal component.
Theories that involve any form of change, that the subject of which requires the existential-context provided by spatial-continuing-existence, must have some form of temporal component.
Since change is ubiquitous in the universe, theories that do not require some temporal component will be rare.
In my first answer to your question, I provided a link to a paper on ResearchGate that reported the identification of the intrinsic nature of time. That paper was primarily about the situation that led to that discovery and about how to interpret that discovery.
There is now another paper about time, this one at OSF Preprints, that contains a description of the intrinsic nature of time with comments about the role of time in the universe.
Vesterby, Vincent. 2019. “The Basis of Time in the Universe.” OSF Preprints. July 24. osf.io/q4ntk.
https://osf.io/q4ntk
This paper explicitly answers the questions:
What is time?
Why does time occur?
Why does time have the specific qualities that it has?
There are two other papers at OSF Preprints that clarify some issues about the intrinsic nature of time.
Vesterby, Vincent. 2019. “Paul Davies and Why Time Is Not a Flow.” OSF Preprints. July 27. osf.io/bh23c.
https://osf.io/bh23c
Vesterby, Vincent. 2019. “Temporal Naturalism—analysis of the Paper by Lee Smolin.” OSF Preprints. July 29. osf.io/mk9wz.