is the universe made of math
Mathematical structures do not live in spacetime, so they can’t be created. My thoughts were much the same in 3rd or 4th year undergraduate physics & I think many other physic students felt the same way. Post was not sent - check your email addresses! Then what we see as the physical world and it’s contents, including ourselves, is merely a result of a gauge fixing. I tend to think that these kind of questions cannot receive an answer as such because their terms are not well-defined. This diagram illustrates a mystery and it seems to me that Tegmark seeks to banish the mystery by collapsing Penrose’s triangle into a point. What is important though is that not all mathematical structures are equally important, central, or interesting, and this is the crucial point that Tegmark seems to me to be missing. Because of our education system, many people equate mathematics with arithmetic. 3. The issue of whether (logical) self-consistency distinguishes mathematical structures that apply to physics from those that don’t has been raised by Hawking, Barrow and others but it seems clear that, if this may (or may not) be a necessary qualification, it surely cannot be sufficient — unless perhaps one revives Hillary Putnam’s proposal that logic may be an empirical science!
Then suppose you could use a procedure analogous to gauge fixing to work out the physical predictions of the theory in 3+1 dimensions and arrive at something that described the world we see. I would be very interested if someone could come up with a definition of reality that excludes mathematical structures but not quantum fields, which do not possess any of the macroscopic qualities (such as hardness, localisation, etc…) with which we mentally endow “real things”. Philosophy and science can go hand in hand, but one must be clear of what he/she is talking about, and make no confusion between the two disciplines. But on the other hand, it is not clear at all whether nature is a set. Roger Penrose in The Road to Reality has a triangular diagram, that expresses the idea that some of our mental activity is mathematics; some of mathematics describes physical reality and finally, some of physical reality is our minds.
What’s the answer to the ultimate question of life, the universe, and everything? In my new book “Our Mathematical Universe”, I argue that it means that our universe isn’t just described by math, but that it is math in the sense that we’re all parts of a giant mathematical object, which in turn is part of a multiverse so huge that it makes the other multiverses debated in … I speak about this “chemical metaphor” in the link I gave above. Galileo famously stated that our Universe is a “grand book” written in the language of mathematics. Admittedly, in physics, various areas of mathematics have also contributed increasingly to the development of the conceptual frameworks, but this is ultimately to serve inference; we hope they can help us draw far-reaching and unambiguous conclusions that we can test. It seems to me that in all this comment about logical consistancy of math and its relationship to the world individuals have left out the most important relationship of math to the world – and that is the conservation rules.
Here again, human-made designs like the rectangular shape of this book don’t count. The relation between conservation laws and symmetries is an absolutely fundamental aspect of how physics and math are related. Over the course of the next year and a half I started to grasp how pernicious and sterile that tactic was. As for 1), what is your argument for saying that there is no such thing as an exact mathematical description ? Newtonian physics only has exact analytical solutions for two-body interactions, whereas there are many bodies present in the universe.
Rather, mathematics itself defines and structures the universe. (For all we know they also exist widely among the cultures of sentient beings across our galaxy and beyond.)
BROOKLYN, N.Y. — Scientists have long used mathematics to describe the physical properties of the universe. Patterns are useless in describing experience if their appearances are completely ephemeral. Backed by this well-earned credibility, his audacious ideas are sparking fascination and taking flight. Instead, the only properties of these entities would be those embodied by the relations between them. MIT physicist Max Tegmark believes the universe is actually made of math, and that math can explain all of existence, including the human brain. I did have one friend in high school who did everything the opposite way from everyone else. Barrow, P.C.W. Thinking of the universe as a mathematical structure has turned out to be extremely fruitful, both for mathematics and for physics. But that doesn't mean humans are powerless.
Equations aren’t the only hints of mathematics that are built into nature: there are also numbers. But where’s all this math that we’re going on about? Something about the wave-function collapsing when a particle is observed & that he felt this was wrong in some sense. Tegmark’s profligate version is also not original: it was advocated by the argentinan philosopher Mark Balaguer in his book [7 Surprising Things About the Universe]. In my new book “Our Mathematical Universe”, I argue that it means that our universe isn’t just described by math, but that it is math in the sense that we’re all parts of a giant mathematical object, which in turn is part of a multiverse so huge that it makes the other multiverses debated in recent years seem puny in comparison. As opposed to human creations like the page numbers in this book, I’m now talking about numbers that are basic properties of our physical reality. Change ), You are commenting using your Twitter account. But the evidence is that the mathematical structure we inhabit is a very special one, sharing features of the very special structures that mathematicians have found to be at the core of modern mathematics. It got complicated at times. But unlike most other physicists, who stay within the confines of the latest theories and measurements, the Swedish-born Tegmark has a night job. “Is it not obvious that mathematics is an invented language that we chattering African apes have evolved to describe the mysterious world”. Some people argue that math is just a tool invented by scientists to explain the natural world. He says that at high energy, it is not clear that a “set” is the correct description for nature, it rather looks as if it is not. We generally do this in a conceptual framework that organizes and motivates the inferences, but the relevance of logic and mathematics comes first and foremost from their power in helping us draw those inferences. Galileo famously stated that our Universe is a “grand book” written in the language of mathematics. Some of the central mathematical structures that mathematicians have discovered have turned out to be identical to those found by physicists pursuing models of fundamental physics.
But there are some reasons why one might believe it. But both the “real thing” and the mathematical models are of the same nature : there are made of “atoms”, which in my metaphor are elementary mathematical concepts. My formative years in astrophysics were the 90’s, where I have seen cosmology turn into a real, quantitative science, the beginning of the “precision era” of cosmology.
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