Integrate BACKBEAT SDK and resolve KACHING license validation

Major integrations and fixes:
- Added BACKBEAT SDK integration for P2P operation timing
- Implemented beat-aware status tracking for distributed operations
- Added Docker secrets support for secure license management
- Resolved KACHING license validation via HTTPS/TLS
- Updated docker-compose configuration for clean stack deployment
- Disabled rollback policies to prevent deployment failures
- Added license credential storage (CHORUS-DEV-MULTI-001)

Technical improvements:
- BACKBEAT P2P operation tracking with phase management
- Enhanced configuration system with file-based secrets
- Improved error handling for license validation
- Clean separation of KACHING and CHORUS deployment stacks

🤖 Generated with [Claude Code](https://claude.ai/code)

Co-Authored-By: Claude <noreply@anthropic.com>

vendor/gonum.org/v1/gonum/mathext/airy.go

@@ -0,0 +1,41 @@
+// Copyright ©2016 The Gonum Authors. All rights reserved.
+// Use of this source code is governed by a BSD-style
+// license that can be found in the LICENSE file.
+
+package mathext
+
+import "gonum.org/v1/gonum/mathext/internal/amos"
+
+// AiryAi returns the value of the Airy function at z. The Airy function here,
+// Ai(z), is one of the two linearly independent solutions to
+//
+//	y′′ - y*z = 0.
+//
+// See http://mathworld.wolfram.com/AiryFunctions.html for more detailed information.
+func AiryAi(z complex128) complex128 {
+	// id specifies the order of the derivative to compute,
+	// 0 for the function itself and 1 for the derivative.
+	// kode specifies the scaling option. See the function
+	// documentation for the exact behavior.
+	id := 0
+	kode := 1
+	air, aii, _, _ := amos.Zairy(real(z), imag(z), id, kode)
+	return complex(air, aii)
+}
+
+// AiryAiDeriv returns the value of the derivative of the Airy function at z. The
+// Airy function here, Ai(z), is one of the two linearly independent solutions to
+//
+//	y′′ - y*z = 0.
+//
+// See http://mathworld.wolfram.com/AiryFunctions.html for more detailed information.
+func AiryAiDeriv(z complex128) complex128 {
+	// id specifies the order of the derivative to compute,
+	// 0 for the function itself and 1 for the derivative.
+	// kode specifies the scaling option. See the function
+	// documentation for the exact behavior.
+	id := 1
+	kode := 1
+	air, aii, _, _ := amos.Zairy(real(z), imag(z), id, kode)
+	return complex(air, aii)
+}