OPEN-SOURCE SCRIPT

Particle Physics Moving Average

Actualizado
This indicator simulates the physics of a particle attracted by a distance-dependent force towards the evolving value of the series it's applied to.

Its parameters include:
  • The mass of the particle
  • The exponent of the force function f=d^x
  • A "medium damping factor" (viscosity of the universe)
  • Compression/extension damping factors (for simulating spring-damping functions)


This implementation also adds a second set of all of these parameters, and tracks 16 particles evenly interpolated between the two sets.

It's a kind of Swiss Army Knife of Moving Average-type functions; For instance, because the position and velocity of the particle include a "historical knowlege" of the series, it turns out that the Exponential Moving Average function simply "falls out" of the algorithm in certain configurations; instead of being configured by defining a period of samples over which to calculate an Exponential Moving Average, in this derivation, it is tuned by changing the mass and/or medium damping parameters.

But the algorithm can do much more than simply replicate an EMA... A particle acted on by a force that is a linear function of distance (force exponent=1) simulates the physics of a sprung-mass system, with a mass-dependent resonant frequency. By altering the particle mass and damping parameters, you can simulate something like an automobile suspension, letting your particle track a stock's price like a Cadillac or a Corvette (or both, including intermediates) depending on your setup. Particles will have a natural resonance with a frequency that depends on its mass... A higher mass particle (i.e. higher inertia) will resonate at a lower frequency than one with a lower mass (and of course, in this indicator, you can display particles that interpolate through a range of masses.)

The real beauty of this general-purpose algorithm is that the force function can be extended with other components, affecting the trajectory of the particle; For instance "volume" could be factored into the current distance-based force function, strengthening or weakening the impulse accordingly. (I'll probably provide updates to the script that incoroprate different ideas I come up with.)

As currently pictured above, the indicator is interpolating between a medium-damped EMA-like configuration (red) and a more extension-damped suspension-like configuration (blue).

This indicator is merely a tool that provides a space to explore such a simulation, to let you see how tweaking parameters affects the simulations. It doesn't provide buy or sell signals, although you might find that it could be adapted into an MACD-like signal generator... But you're on your own for that.
Notas de prensa
imagen
Changed defaults to have a little more spread
frequencymassMoving Averagesphysicsresonancesimulationspring

Script de código abierto

Siguiendo fielmente el espíritu de TradingView, el autor de este script lo ha publicado en código abierto, permitiendo que otros traders puedan entenderlo y verificarlo. ¡Olé por el autor! Puede utilizarlo de forma gratuita, pero tenga en cuenta que la reutilización de este código en la publicación se rige por las Normas internas. Puede añadir este script a sus favoritos y usarlo en un gráfico.

¿Quiere utilizar este script en un gráfico?

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