image c/o Grand Forks Herald |
and the Reality of Fields
In mathematics, a field is a set on which addition, subtraction, multiplication, and division are defined and behave as the corresponding operations on rational and real numbers do. A field is thus a fundamental algebraic structure which is widely used in algebra, number theory, and many other areas of mathematics.
— Wikipedia 2021-10-10
In physics, a field is a physical quantity, represented by a number or another tensor, that has a value for each point in space and time.[1][2][3] For example, on a weather map, the surface temperature is described by assigning a number to each point on the map; the temperature can be considered at a certain point in time or over some interval of time, to study the dynamics of temperature change. A surface wind map,[4] assigning an arrow to each point on a map that describes the wind speed and direction at that point, is an example of a vector field, i.e. a 1-dimensional (rank-1) tensor field. Field theories, mathematical descriptions of how field values change in space and time, are ubiquitous in physics. For instance, the electric field is another rank-1 tensor field, while electrodynamics can be formulated in terms of two interacting vector fields at each point in spacetime, or as a single-rank 2-tensor field.[5][6][7]
— Wikipedia 2021-10-10
A cellular automaton (pl. cellular automata, abbrev. CA) is a discrete model of computation studied in automata theory. Cellular automata are also called cellular spaces, tessellation automata, homogeneous structures, cellular structures, tessellation structures, and iterative arrays.[2] Cellular automata have found application in various areas, including physics, theoretical biology and microstructure modeling.
— Wikipedia 2021-10-10
If I have not frightened you away at this point, I will try simplify my point, my question
Are Fields the Fundamental Structure of Reality, of Life, of Being?
Today I was watching YouTube videos Sean Carroll - The Particle at the End of the Universe and Neat AI does Lenia - Conway's game of life arrives in the 21st century...
I have watched Sean Carroll many times, and this video several times, as well as many other videos on Quantum Field Theory. In short, the universe is permeated by various fields, and the particles we experience in nature, are simply a disturbance or excitation in those fields.
Today was the first time learning about “Lenia,” but I am very familiar with Conway’s game of Life. While a simple game, with simple rules, almost anyone can learn to play Life. However, it demonstrates some extraordinary principles in mathematics, algorithms, and computing, while producing satisfying visual experiences, that can be highly addictive for people playing the game, and especially people with computer programming talent and skills.
A notable difference between Life and Lenia is that the cellular automata of Life is based on a small set of Integers, while in Lenia is based on the set of Real numbers between 1 and -1. Also, Lenia (and even Life) has been extended into 3 dimensions and more.
It is very compelling to imagine that the fabric of the universe is not only the various Quantum Fields, but these Quantum Fields obey the laws of Cellular Automata, or something very similar. Is this what inspires people's thoughts on Simulated Reality? On the other hand, is there some relationship to what theorists are pursuing in string theory or loop quantum gravity and the ideas of cellular automata? Ultimately, any theory of cellular automata to explain reality would need to be falsifiable, testable, and verifiable... something that string theory has evaded so far... 🤔
One of the profound questions of physics is of the Physical Constants of nature, and why are these the values we see? My question is
Are the values of the Physical Constants the parameters or input values to the Cellular Automata that drive the Quantum Fields, that produce the particles and particle interactions we perceive as reality?
Indeed, many people have pointed out that if any of those Physical Constants differ by even extraordinarily small values, we could not exist, life could not exist, stars and planets could not exist, and largely matter as we know it could not exist.
Theologians like to point out this coincidence as the proof of intelligent design, as this validates that these values must have been chosen by an intelligent agency, of God. The problem with this approach is no theology wants to say where God came from, so this is an unsatisfying explanation as all theology is a philosophy of inventing explanations of reality rather than investigating, understanding, and proving them.
The most satisfying explanation so far, for me, is that indeed reality is a multiverse, a universe of universes, perhaps infinite universes, each with a different set of Physical Constants, such that when new universes are created, they are created with different, possibly random Physical Constants. Indeed, the Big Bang Theory seems to suggest that our particular universe was created about 14 billion years ago. See also the Infinite Monkey Theorem. As well, in biology, it is increasingly demonstrable that life can spontaneously emerge given necessary and sufficient starting conditions. Why can't this be true of reality itself?
Is each universe created with a set of fields, governed by cellular automata, with different start-up parameters?
This raises other questions?
- In the multiverse, does each universe have the same number of fields, and the same parametric cellular automata governing them, or do some universes have more or fewer fields, with different cellular automata?
- Is the multiverse flat, or is there a hierarchy of multiverses, leading to categories or groups of multiverses, distinguishable by things like dimensions, classes of fields, classes of cellular automata, and the set of possible input values to different cellular automata?
- Stepping back further
👀
Is anyone still reading this far?
In the world of ideas, logic, reasoning, mathematics, and science have helped us understand reality better than any other methods we have discovered.
I believe,
that in my philosophy of ideas, logic, reasoning, mathematics, and science,
there may not be limits to the things in Heaven and Earth we can dream of.