Concept of introverted space: is extroverted, multidimensional space an illusion?
Ingo Steinbach
TL;DR
The paper reframes space as an introverted, network-like construct within the quantum-phase-field framework, unifying masses and spaces as energy-positive nodes and energy-negative edges connected by a doublon. It introduces a renormalization procedure to produce discrete objects from a continuum theory and derives a Casimir-like negative space energy $E_I = -\alpha \frac{h c}{48 \Omega_I}$ that drives gravitational attraction as a wave phenomenon. By separating micro and macro contributions, it recovers Newtonian gravity at medium to large scales via $f_I^{\mathrm{macro}} = G \frac{m^2}{\Omega_I^2}\left[1 - \frac{\Omega_I}{\bar{\Omega}}\right]$ and predicts repulsion beyond a marginal distance $\bar{\Omega}$, with $\bar{\Omega} \approx GM^u/c^2$. The framework implies energy neutrality, yields a closed network of doublons, and argues that multidimensional continuum space is an emergent, brain-constructed illusion rather than a fundamental substrate, potentially affecting cosmological interpretations of gravity and expansion.
Abstract
The quantum-phase-field concept of matter is revisited with special emphasis on the introverted view of space. Extroverted space surrounds physical objects, while introverted space lies in between physical objects. Space between objects leads to a network structure of matter: a network in which one-dimensional space filaments connect massive elementary particles. Missing quantum fluctuations in the finite space filaments are interpreted as `gravitons,' the exchange particles of gravitational attraction between elementary particles.
