Modern quantum theory treats time as an external parameter, whereas relativity embeds all events within a static spacetime manifold. Neither framework explains the physical reality of the “Now” or the mechanism by which causal progression unfolds. Chronon Field Theory (CFT) introduces an intrinsic causal alignment field Φμ(x) whose self-organization generates both geometry and temporality. Quantization arises from the discrete holonomy of the causal connection, while measurement corresponds to boundary-induced synchronization of causal phases. The characteristic coherence speed $v_{\mathrm{coh}}=\sqrt{J/\chi}=c$ defines the invariant rate at which causal order advances—an intrinsic causal rate rather than the motion of matter or signals. The geometric action quantum $hbar_{\mathrm{geom}}$ , derived from the CFT parameters (J, λ, χ), provides the natural origin of Planck’s constant. Within this framework, quantum discreteness, relativistic invariance, and temporal becoming emerge as complementary manifestations of a single causal–geometric field dynamics.Modern quantum theory treats time as an external parameter, whereas relativity embeds all events within a static spacetime manifold. Neither framework explains the physical reality of the “Now” or the mechanism by which causal progression unfolds. Chronon Field Theory (CFT) introduces an intrinsic causal alignment field Φμ(x) whose self-organization generates both geometry and temporality. Quantization arises from the discrete holonomy of the causal connection, while measurement corresponds to boundary-induced synchronization of causal phases. The characteristic coherence speed $ v_{\mathrm{coh}}=\sqrt{J/\chi}=c $ defines the invariant rate at which causal order advances—an intrinsic causal rate rather than the motion of matter or signals. The geometric action quantum $ hbar_{\mathrm{geom}} $, derived from the CFT parameters (J, λ, χ), provides the natural origin of Planck’s constant. Within this framework, quantum discreteness, relativistic invariance, and temporal becoming emerge as complementary manifestations of a single causal–geometric field dynamics.

Oct 28, 20250 citations

GEOMETRIC PHASES IN QUANTUM THEORY

At Wien

Jan 1, 200234 citations

Geometric Origin of Quantum Waves from Finite Action

Bin Li

Quantum mechanics introduces wave--particle duality as a postulate, yet the geometric origin of wave behavior has never been derived from first principles. This work shows that a finite quantum of action, $\hbar_{\mathrm{geom}}$ , compactifies the classical action manifold into a periodic $U(1)$ phase space. Physical observables depend only on modular action $S \bmod 2\pi\hbar_{\mathrm{geom}}$ , making interference a direct geometric necessity. We present this as a theorem, proving that any system with finite $\hbar_{\mathrm{geom}}$ must exhibit wave interference, while the classical limit corresponds to decompactification $\hbar_{\mathrm{geom}}\!\to\!0$ . Chronon Field Theory (CFT) provides the physical substrate for this geometry: its causal field $\Phi^\mu$ carries quantized symplectic flux $\oint\omega=\hbar_{\mathrm{geom}}$ , establishing Planck’s constant as a geometric invariant of causal alignment. This result unifies modular action, quantization, and spacetime geometry, revealing the wave nature of matter as a consequence of finite causal curvature. The framework predicts quantized phase discontinuities in mesoscopic interferometry, offering an avenue for direct experimental validation.Quantum mechanics introduces wave--particle duality as a postulate, yet the geometric origin of wave behavior has never been derived from first principles. This work shows that a finite quantum of action, $\hbar_{\mathrm{geom}}$, compactifies the classical action manifold into a periodic $U(1)$ phase space. Physical observables depend only on modular action $S \bmod 2\pi\hbar_{\mathrm{geom}}$, making interference a direct geometric necessity. We present this as a theorem, proving that any system with finite $\hbar_{\mathrm{geom}}$ must exhibit wave interference, while the classical limit corresponds to decompactification $\hbar_{\mathrm{geom}}\!\to\!0$. Chronon Field Theory (CFT) provides the physical substrate for this geometry: its causal field $\Phi^\mu$ carries quantized symplectic flux $\oint\omega=\hbar_{\mathrm{geom}}$, establishing Planck’s constant as a geometric invariant of causal alignment. This result unifies modular action, quantization, and spacetime geometry, revealing the wave nature of matter as a consequence of finite causal curvature. The framework predicts quantized phase discontinuities in mesoscopic interferometry, offering an avenue for direct experimental validation.

Quantum ReportsDec 8, 20257 citations

The Geometric Phase in Quantum Physics

Arno Böhm

Springer eBooksJan 1, 199310 citations

Geometric Quantum Theory

James Thomas Wheeler

Jan 1, 19900 citations

whose self-organization generates both geometry and temporality. Quantization arises from the discrete holonomy of the causal connection, while measurement corresponds to boundary-induced synchronization of causal phases. The characteristic coherence speed

v_{\mathrm{coh}}=\sqrt{J/\chi}=c

defines the invariant rate at which causal order advances—an intrinsic causal rate rather than the motion of matter or signals. The geometric action quantum

hbar_{\mathrm{geom}}

, derived from the CFT parameters (J, λ, χ), provides the natural origin of Planck’s constant. Within this framework, quantum discreteness, relativistic invariance, and temporal becoming emerge as complementary manifestations of a single causal–geometric field dynamics.

\hbar_{\mathrm{geom}}

, compactifies the classical action manifold into a periodic

U(1)

phase space. Physical observables depend only on modular action

S \bmod 2\pi\hbar_{\mathrm{geom}}

, making interference a direct geometric necessity. We present this as a theorem, proving that any system with finite

\hbar_{\mathrm{geom}}

must exhibit wave interference, while the classical limit corresponds to decompactification

\hbar_{\mathrm{geom}}\!\to\!0

. Chronon Field Theory (CFT) provides the physical substrate for this geometry: its causal field

\Phi^\mu

carries quantized symplectic flux

\oint\omega=\hbar_{\mathrm{geom}}

, establishing Planck’s constant as a geometric invariant of causal alignment. This result unifies modular action, quantization, and spacetime geometry, revealing the wave nature of matter as a consequence of finite causal curvature. The framework predicts quantized phase discontinuities in mesoscopic interferometry, offering an avenue for direct experimental validation.