warp_engine

defmodule IsLabDB.CosmicConstants do
  @moduledoc """
  Fundamental physics constants for the computational universe.

  These constants govern the behavior of the physics-inspired database operations:
  - Planck time determines minimum query granularity
  - Light speed limits maximum operations per second
  - Entropy threshold triggers automatic rebalancing
  - Cosmic background temperature provides system stability baseline
  """

  # Planck-scale constants
  @planck_time_ns 5.39e-35 * 1_000_000_000  # Minimum query time resolution
  @light_speed_ops_per_sec 299_792_458       # Maximum operations per second per core
  @entropy_rebalance_threshold 2.5           # When to trigger cosmic rebalancing
  @cosmic_background_temp 2.7                # Kelvin, always stable baseline

  # Quantum mechanics constants
  @planck_constant 6.62607015e-34           # For quantum state calculations
  @reduced_planck 1.054571817e-34           # ℏ for quantum operations
  @boltzmann_constant 1.380649e-23          # For entropy calculations

  # Database-specific physics
  @gravitational_constant 6.67430e-11       # For data attraction calculations
  @fine_structure_constant 7.2973525693e-3  # For quantum entanglement strength
  @avogadro_number 6.02214076e23            # For large-scale data operations

  @doc """
  Planck time in nanoseconds - minimum time resolution for queries.
  Queries faster than this are considered instantaneous.
  """
  def planck_time_ns, do: @planck_time_ns

  @doc """
  Maximum theoretical operations per second per CPU core.
  Based on the speed of light as fundamental computational limit.
  """
  def light_speed_ops_per_sec, do: @light_speed_ops_per_sec

  @doc """
  Entropy threshold that triggers automatic system rebalancing.
  When system entropy exceeds this value, cosmic rebalancing begins.
  """
  def entropy_rebalance_threshold, do: @entropy_rebalance_threshold

  @doc """
  Cosmic microwave background temperature - the stable baseline for all operations.
  Always 2.7 Kelvin, representing perfect cosmic stability.
  """
  def cosmic_background_temp, do: @cosmic_background_temp

  @doc "Planck constant for quantum state calculations"
  def planck_constant, do: @planck_constant

  @doc "Reduced Planck constant (ℏ) for quantum operations"
  def reduced_planck, do: @reduced_planck

  @doc "Boltzmann constant for entropy and temperature calculations"
  def boltzmann_constant, do: @boltzmann_constant

  @doc "Gravitational constant for data attraction and shard routing"
  def gravitational_constant, do: @gravitational_constant

  @doc "Fine structure constant for quantum entanglement strength calculations"
  def fine_structure_constant, do: @fine_structure_constant

  @doc "Avogadro's number for large-scale data operations"
  def avogadro_number, do: @avogadro_number

  @doc """
  Speed of light constant for wormhole routing calculations.
  """
  def speed_of_light, do: @light_speed_ops_per_sec

  @doc """
  Calculate quantum energy level for a data item based on access frequency.
  Higher frequency = higher energy level = faster access.
  """
  def quantum_energy_level(access_frequency) when is_number(access_frequency) do
    @planck_constant * access_frequency
  end

  @doc """
  Calculate gravitational attraction between two data items.
  Used for intelligent shard placement and data locality optimization.
  """
  def gravitational_attraction(mass1, mass2, distance) when distance > 0 do
    @gravitational_constant * mass1 * mass2 / (distance * distance)
  end

  @doc """
  Calculate entropy increase rate for load balancing decisions.
  Based on Boltzmann entropy formula.
  """
  def entropy_rate(temperature, energy_states) when temperature > 0 do
    @boltzmann_constant * temperature * :math.log(energy_states)
  end

  @doc """
  Check if two quantum states can be entangled based on fine structure constant.
  Returns entanglement probability between 0.0 and 1.0.
  """
  def entanglement_probability(state1_energy, state2_energy) do
    energy_difference = abs(state1_energy - state2_energy)
    # Higher energy difference reduces entanglement probability
    probability = :math.exp(-energy_difference * @fine_structure_constant)
    min(probability, 1.0)
  end

  @doc """
  Calculate time dilation factor for different processing priority levels.
  Critical priority has faster subjective time, background has slower.
  """
  def time_dilation_factor(priority) do
    case priority do
      :critical -> 0.5   # Time moves twice as fast
      :high -> 0.7       # Time moves 30% faster
      :normal -> 1.0     # Normal time flow
      :low -> 1.5        # Time moves 50% slower
      :background -> 2.0 # Time moves twice as slow
      _ -> 1.0
    end
  end

  @doc """
  Calculate schwarzschild radius for cache event horizon.
  Determines maximum cache size before data 'escapes' the cache.
  """
  def schwarzschild_radius(cache_mass) when cache_mass > 0 do
    # Simplified formula for computational black hole
    2 * @gravitational_constant * cache_mass / (@light_speed_ops_per_sec * @light_speed_ops_per_sec)
  end

  @doc """
  All fundamental constants as a map for system initialization.
  """
  def all_constants do
    %{
      planck_time_ns: @planck_time_ns,
      light_speed_ops_per_sec: @light_speed_ops_per_sec,
      entropy_rebalance_threshold: @entropy_rebalance_threshold,
      cosmic_background_temp: @cosmic_background_temp,
      planck_constant: @planck_constant,
      reduced_planck: @reduced_planck,
      boltzmann_constant: @boltzmann_constant,
      gravitational_constant: @gravitational_constant,
      fine_structure_constant: @fine_structure_constant,
      avogadro_number: @avogadro_number
    }
  end
end