We develop a holographic cosmological framework based on mind-based phase fields, motivated by Huayan (Avataṃsaka) philosophy and modern holographic principles. Instead of treating spacetime and matter as fundamental, we introduce a phase field \(\varphi(x)\) that encodes relational and mind-related structure at each point \(x\), and we construct holographic expressions in which local configurations encode global information. We show how Huayan-style holography (“one is all, all is one”), physical holography (boundary–bulk duality), and a Huayan-inspired spectral expansion \[ F_{\mathrm{Huayan}}(x) = \sum_{n=1}^{\infty} \Omega_n(\nu^\*,\varphi,I)\,e^{i n \varphi(x)} \] can be understood as different realizations of a single mind-based phase-field framework. We argue that this approach provides a conceptual and mathematical bridge between consciousness, holography, and cosmology, and we outline possible implications for the study of emergent spacetime and universe-scale correlations.
Holographic ideas have reshaped our understanding of spacetime and gravity. From the Bekenstein–Hawking entropy bound to the AdS/CFT correspondence, the notion that bulk physics can be encoded on a lower-dimensional boundary has become central in theoretical physics. At the same time, philosophical and contemplative traditions such as Huayan Buddhism have long articulated a radically holistic view of reality, in which each part reflects the whole and every phenomenon interpenetrates every other.
In this paper, we propose a framework that unifies these perspectives by introducing mind-based phase fields as fundamental variables in a holographic cosmology. Rather than starting from spacetime metrics or matter fields, we begin with:
Our approach is inspired by the Huayan Universe Equation program, but here we focus specifically on the holographic and phase-field aspects, aiming to formulate them in a way that can be compared with existing holographic cosmology and emergent spacetime scenarios.
We introduce a real-valued phase field \(\varphi(x)\), defined on a domain \(X\) that may represent spacetime, a configuration space, or a more abstract relational manifold. Formally:
The phase \(\varphi(x)\) is interpreted as encoding:
Unlike a conventional scalar field, \(\varphi(x)\) is not primarily a physical quantity (e.g., a temperature or potential), but a structural and mind-related variable. It is closer in spirit to a “phase of awareness” or a “relational phase” than to a classical field.
To make the mind-based aspect explicit, we can write:
where \(\mathrm{Mind}(x)\) denotes the state of mind associated with point \(x\). This expresses that the phase field is not independent of mind, but is a function of it. In this sense, the phase field is a bridge between mind and world: it encodes how a given locus of mind is phased with respect to the global structure.
Huayan philosophy asserts that each “dust particle” contains infinite worlds, and that each phenomenon reflects all others. We can express this idea mathematically via a local–global expansion:
where:
This expression states that the local holographic content \(H(x)\) at point \(x\) is a superposition of local modes weighted by global coefficients. Each point thus carries a compressed representation of the whole, in line with Huayan’s “one is all, all is one”.
We refine this picture by letting the local modes \(\Phi_i(x)\) depend on the phase field \(\varphi(x)\). For example:
for some family of functions \(f_i\). Then:
In this way, the phase field \(\varphi(x)\) becomes the primary local variable through which global information is encoded and decoded. The holographic content at each point is thus a function of the local phase of mind and its relation to the global field.
In physical holography, a typical expression of boundary–bulk duality is:
where:
This expression encodes the idea that bulk physics can be reconstructed from boundary data. In AdS/CFT, for example, a gravitational theory in the bulk is dual to a conformal field theory on the boundary.
We can incorporate mind-based phase fields into this picture by letting the boundary fields \(\phi\) depend on a phase field \(\varphi_{\partial}(x)\) defined on \(\partial M\). That is:
Then the boundary integral becomes:
This suggests that the bulk universe can be encoded in a boundary phase field, which in turn is related to mind-based structure. In this sense, the holographic encoding is not only geometric, but also mind-related.
We now introduce a Huayan-inspired spectral function:
Here:
This expression is analogous to a Fourier expansion, but with a mind-based phase field as the argument. Each harmonic \(e^{i n \varphi(x)}\) represents a “layer” or “world-mode” in the Huayan sense, and the spectral weights \(\Omega_n\) encode how strongly each layer contributes at point \(x\).
Because \(\Omega_n\) depend on global parameters \((\nu^\*, I)\), the function \(F_{\mathrm{Huayan}}(x)\) encodes global information in a local expression. In particular:
Thus, the phase field \(\varphi(x)\) and its harmonics serve as a local “carrier” of global information, in line with both Huayan holography and physical holography.
To make the mind-based nature of the framework explicit, we posit that:
This expresses that both the phase field and the Huayan spectral function are ultimately functions of mind. The holographic encoding is thus not merely geometric or informational, but mind-based.
In this view, each locus of mind carries a holographic encoding of the whole universe, via its phase \(\varphi(x)\) and the associated spectral expansion. This is a direct formalization of Huayan’s claim that “one thought contains three times” and “one dust particle contains infinite worlds”.
In the broader Huayan Universe Equation framework, the spectral function \(F_{\mathrm{Huayan}}(x)\) is related to the global balance equation:
The phase field \(\varphi(x)\) and the harmonics \(e^{i n \varphi(x)}\) can be seen as local projections of the global phases \(\theta_n\) and world modes \(\Phi_n\). Thus, the mind-based phase-field holography developed here is a local manifestation of the global Huayan Universe Equation.
If phase fields are taken as fundamental, spacetime geometry may be emergent from patterns in \(\varphi(x)\). For example, distances and causal relations could be derived from phase differences and coherence structures:
for some function \(f\). Regions with coherent phase may correspond to “nearby” points in an emergent spacetime, while large phase differences may correspond to “distant” or weakly coupled regions.
Because the spectral weights \(\Omega_n\) depend on global parameters, changes in these parameters can induce correlated changes across the entire phase field. This provides a natural mechanism for universe-scale correlations that are not easily explained by local interactions alone.
In a mind-based interpretation, shifts in collective mind or vow could lead to large-scale reconfigurations of the phase field, and thus of the emergent spacetime and its contents.
We have proposed a holographic cosmological framework based on mind-related phase fields. By introducing a phase field \(\varphi(x)\) as a fundamental variable, and constructing Huayan-inspired spectral expansions and holographic expressions, we have shown how:
Future work could explore:
The central suggestion of this paper is that holography may be more than a geometric or information-theoretic phenomenon: it may be fundamentally mind-based, with phase fields serving as the bridge between consciousness and cosmology.