====== 1. Road to reality ====== ===== Astronomical numbers ===== We will deal with a lot of large or //astronomical// numbers. The best way to deal with these numbers is through **orders of magnitude**. I can write that the age of the universe is either 14 billion (giga) years or $14\times 10^9$ years. Another way of saying $10^9$ is //10 orders of magnitude//. A number that only tells you how many zeros to put after $1$ is in the form of orders of magnitude. Nine orders of magnitude or $10^9$ means that there are 9 zeros after 1. Calculations become very easy and calculators are never needed when we stick to only orders of magnitude. Let us calculate the **mass of the universe** in order to demonstrate this counterintuitive fact. There are approximately 100 billion stars in a typical galaxy. ==== Units and prefixes ==== ^ Quantity ^ Unit ^ Symbol ^ | Length | meter | m | | Time | second | s | | Mass | kilogram | kg | ^ Prefix ^ ^ Order of 10 ^ English word ^ | tera | T | $10^{12}$ | trillion | | giga | G | $10^9$ | billion | | mega | M | $10^6$ | million | | kilo | k | $10^3$ | thousand | | | | $10^0$ | one | | milli | m | $10^{-3}$ | thousandth | | micro | μ | $10^{-6}$ | millionth | | nano | n | $10^{-9}$ | billionth | | pico | p | $10^{-12}$ | trillionth | ===== Space and time ===== ===== Time and river ===== ===== Evolution ===== ===== Poetry ===== ===== Cosmos and universe ===== There are two terms for 'everything that exists' in English, one from Greek, one from Latin. //Cosmos// is Greek in origin and it means order; it is related to the Sanskrit word //samsati// which has the same connotations. On the other hand, //Universe// is Latin in origin and has a complex set of meanings. On first encounter, 'universe' seem to just mean 'one poem' (uni + verse). ===== Three possible realms ===== Book: //Road to Reality// by Roger Penrose. {{ :courses:phy100:threeworlds.jpg?nolink |}} ===== Tree of knowledge ===== {{ :courses:phy100:foursciences.png?nolink |}}