Simulation Technologies (United States)

The Constant κH: Definition, Arithmetic Properties, and Its Relation to C (Paper 19 of the LQG–LQC Intertwiner Series)

IntroductionThe constant C = 3.60329350391382... — studied in depth in Paper 8 [3] — is the maximumvalue of the LQC bounce window function. Paper 8 established its Gamma-function representation, irrationality, and conditional transcendence, and introduced the family C(λ). The pre...

The Recognition Dynamics Framework: Recognition Deepening, the Cosmological Bounce, and the Intertwiner CMB Signature (Paper 23 of the LQG–LQC Intertwiner Series)

1. Introduction1.1 Two motivating problemsClassical general relativity predicts its own breakdown. In a contracting Friedmann–Lemaître–Robertson–Walker(FLRW) universe the scale factor a(t) reaches zero and the energy density diverges at finite time; the field equationsbecome unde...

The Recognition Dynamics Framework: Recognition Deepening, the Cosmological Bounce, and the Intertwiner CMB Signature (Paper 23 of the LQG–LQC Intertwiner Series)

1. Introduction1.1 Two motivating problemsClassical general relativity predicts its own breakdown. In a contracting Friedmann–Lemaître–Robertson–Walker(FLRW) universe the scale factor a(t) reaches zero and the energy density diverges at finite time; the field equationsbecome unde...