FRAMEWORK DOCUMENTATION

MONADICS DOCS

Complete guide to the Collapse monad and quantum consciousness computation. From basic usage to advanced theoretical applications.

READ THEORY

Quick Start

Basic Collapse Monad

{-# LANGUAGE BangPatterns #-}

-- The core Collapse monad
data Collapse a = Collapsed !a | Superposed ![a]
  deriving (Show, Eq, Functor)

-- Create uncertainty
uncertain :: [String] -> Collapse String
uncertain [] = error "Cannot create empty superposition"
uncertain [x] = Collapsed x
uncertain xs = Superposed xs

-- Collapse to reality
collapse :: Collapse a -> Collapse a
collapse (Collapsed x) = Collapsed x
collapse (Superposed xs) = Collapsed (head xs)

1. Create Superposition

let reality = uncertain ["DREAM", "SIMULATION", "PHYSICAL"]
-- Superposed ["DREAM", "SIMULATION", "PHYSICAL"]

2. Collapse to Reality

let observed = collapse reality
-- Collapsed "DREAM"

API Reference

Core Types

data Collapse a

The fundamental type representing quantum uncertainty and collapse.

data Collapse a = Collapsed !a      -- Definite state
                | Superposed ![a]    -- Uncertain state
  deriving (Show, Eq, Functor)

Instance Declarations

Monad Instance

instance Monad Collapse where
  return = Collapsed
  Collapsed x >>= f = f x
  Superposed xs >>= f = 
    superpose [f x | x <- xs]

Applicative Instance

instance Applicative Collapse where
  pure = Collapsed
  (Collapsed f) <*> (Collapsed x) = 
    Collapsed (f x)
  (Collapsed f) <*> (Superposed xs) = 
    Superposed (map f xs)

Core Functions

uncertain :: [a] -> Collapse a

Create superposition from a list of possibilities.

uncertain ["A", "B", "C"]
-- Superposed ["A", "B", "C"]

uncertain ["SINGLE"]
-- Collapsed "SINGLE"

collapse :: Collapse a -> Collapse a

Force collapse of superposition to definite state.

collapse (Superposed ["X", "Y"])
-- Collapsed "X"

collapse (Collapsed "Z")
-- Collapsed "Z"

think :: Collapse String -> Collapse String

Recursive thinking simulation with collapse.

think (Superposed ["WHO?", "WHY?"])
-- Collapsed "WHO?"

think (Collapsed "INSIGHT")
-- Collapsed "INSIGHT"

weightedCollapse :: [(a, Double)] -> Collapse a

Probabilistic collapse based on weights.

weightedCollapse 
  [("REAL", 0.7), ("ILLUSION", 0.3)]
-- Collapsed "REAL"

Advanced Examples

Consciousness Simulation

Model consciousness as continuous collapse of thought processes.

consciousness :: [Collapse String] -> IO ()
consciousness [] = putStrLn "VOID"
consciousness (c:cs) = do
  let result = think c
  case result of
    Collapsed thought -> do
      putStrLn $ "THOUGHT: " ++ thought
      consciousness cs
    Superposed thoughts -> do
      putStrLn $ "UNCERTAINTY: " ++ 
        show (length thoughts)
      consciousness (Collapsed (head thoughts) : cs)

Bayesian Inference

Update beliefs through evidence using the Collapse monad.

data Belief = Belief String Double

updateBelief :: Collapse Belief -> Evidence -> Collapse Belief
updateBelief (Collapsed belief) evidence = 
  Collapsed (bayesianUpdate belief evidence)
updateBelief (Superposed beliefs) evidence =
  let updated = map (`bayesianUpdate` evidence) beliefs
      filtered = filter isPlausible updated
  in case filtered of
       [b] -> Collapsed b
       bs -> Superposed bs

Quantum Fibonacci

Fibonacci with quantum uncertainty in higher values.

fibCollapse :: Integer -> Collapse Integer
fibCollapse n
  | n <= 1 = return n
  | n <= 5 = return (fib n)
  | otherwise = Superposed 
      [fib n, fib n + 1, fib n - 1]

parallelFib :: [Integer] -> Collapse [Integer]
parallelFib ns = 
  let results = map fibCollapse ns
  in sequence results

Parallel Collapse

Process multiple collapse operations in parallel.

parallelCollapse :: [Collapse a] -> Collapse [a]
parallelCollapse collapses = 
  let results = parMap rdeepseq resolve collapses
  in if all isCollapsed results
     then Collapsed (map extract results)
     else Superposed (cartesianProduct 
            (map possibilities results))
  where
    resolve (Collapsed x) = Collapsed x
    resolve (Superposed xs) = uncertain xs

Theoretical Foundation

The Monadics framework is built on the idea that consciousness is computation, and specifically that conscious experience involves the continuous collapse of quantum superpositions into definite states.

Computational

Monads provide the mathematical structure for composing uncertain computations while maintaining referential transparency.

Quantum

Collapse mirrors quantum measurement, where superposed states resolve into definite outcomes through observation.

Consciousness

Recursive thinking and self-reference emerge naturally from monadic composition and collapse operations.

Read the Full Theory Paper →

Resources & Tools

Interactive Compiler

Run Monadics code directly in your browser with our quantum Haskell compiler.

Set Up Haskell Environment

Install GHC and Cabal to run Monadics code locally. Use GHCup for easy installation.

curl --proto '=https' --tlsv1.2 -sSf https://get-ghcup.haskell.org | sh
cabal update
cabal install --lib monadics

Import the Collapse Monad

Start with the basic imports and language extensions needed for Monadics.

{-# LANGUAGE BangPatterns #-}

import Monadics.Collapse
import Control.Monad
import System.Random

Try the Interactive Compiler

Use our in-browser compiler to experiment without local installation.